样式: 排序: IF: - GO 导出 标记为已读
-
Erratum: "Faster network disruption from layered oscillatory dynamics" [Chaos 32, 121102 (2022)]. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2023-06-01 Melvyn Tyloo
-
COVID-19 second wave mortality in Europe and the United States. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-03-01 Nick James,Max Menzies,Peter Radchenko
This paper introduces new methods to analyze the changing progression of COVID-19 cases to deaths in different waves of the pandemic. First, an algorithmic approach partitions each country or state's COVID-19 time series into a first wave and subsequent period. Next, offsets between case and death time series are learned for each country via a normalized inner product. Combining these with additional
-
Electrical circuits involving fractal time. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-03-01 Alireza Khalili Golmankhaneh,Karmina Kamal Ali,Resat Yilmazer,Kerri Welch
In this paper, we develop fractal calculus by defining improper fractal integrals and their convergence and divergence conditions with related tests and by providing examples. Using fractal calculus that provides a new mathematical model, we investigate the effect of fractal time on the evolution of the physical system, for example, electrical circuits. In these physical models, we change the dimension
-
Sequential seeding in multilayer networks. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-03-01 Piotr Bródka,Jarosław Jankowski,Radosław Michalski
Multilayer networks are the underlying structures of multiple real-world systems where we have more than one type of interaction/relation between nodes: social, biological, computer, or communication, to name only a few. In many cases, they are helpful in modeling processes that happen on top of them, which leads to gaining more knowledge about these phenomena. One example of such a process is the
-
Using machine learning to predict statistical properties of non-stationary dynamical processes: System climate,regime transitions, and the effect of stochasticity. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-03-01 Dhruvit Patel,Daniel Canaday,Michelle Girvan,Andrew Pomerance,Edward Ott
We develop and test machine learning techniques for successfully using past state time series data and knowledge of a time-dependent system parameter to predict the evolution of the "climate" associated with the long-term behavior of a non-stationary dynamical system, where the non-stationary dynamical system is itself unknown. By the term climate, we mean the statistical properties of orbits rather
-
Transport of coupled particles in rough ratchet driven by Lévy noise. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-03-01 Yao Song,Lijuan Ning
This paper studies the transport of coupled particles in a tilted rough ratchet potential. The relationship between particles transport and roughness, noise intensity, external force, coupling strength, and free length is explored numerically by calculating the average velocity of coupled particles. Related investigations have found that rough potential can accelerate the process of crossing the barrier
-
Parameter extraction with reservoir computing: Nonlinear time series analysis and application to industrial maintenance. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-03-01 Braden Thorne,Thomas Jüngling,Michael Small,Melinda Hodkiewicz
We study the task of determining parameters of dynamical systems from their time series using variations of reservoir computing. Averages of reservoir activations yield a static set of random features that allows us to separate different parameter values. We study such random feature models in the time and frequency domain. For the Lorenz and Rössler systems throughout stable and chaotic regimes, we
-
Chaos in conservative discrete-time systems subjected to parameter drift. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-03-01 Dániel Jánosi,Tamás Tél
Based on the example of a paradigmatic area preserving low-dimensional mapping subjected to different scenarios of parameter drifts, we illustrate that the dynamics can best be understood by following ensembles of initial conditions corresponding to the tori of the initial system. When such ensembles are followed, snapshot tori are obtained, which change their location and shape. Within a time-dependent
-
Emergence and synchronization of a reversible core in a system of forced adaptively coupled Kuramoto oscillators. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-03-01 Anastasiia A Emelianova,Vladimir I Nekorkin
We report on the phenomenon of the emergence of mixed dynamics in a system of two adaptively coupled phase oscillators under the action of a harmonic external force. We show that in the case of mixed dynamics, oscillations in forward and reverse time become similar, especially at some specific frequencies of the external force. We demonstrate that the mixed dynamics prevents forced synchronization
-
Nonlinear waves in a quintic FitzHugh-Nagumo model with cross diffusion: Fronts, pulses, and wave trains. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-03-01 Evgeny P Zemskov,Mikhail A Tsyganov,Klaus Kassner,Werner Horsthemke
We study a tristable piecewise-linear reaction-diffusion system, which approximates a quintic FitzHugh-Nagumo model, with linear cross-diffusion terms of opposite signs. Basic nonlinear waves with oscillatory tails, namely, fronts, pulses, and wave trains, are described. The analytical construction of these waves is based on the results for the bistable case [Zemskov et al., Phys. Rev. E 77, 036219
-
Spatial and temporal Taylor's law in 1D chaotic maps. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-03-01 Hiroki Kojima,Yuzuru Mitsui,Takashi Ikegami
By using low-dimensional chaotic maps, the power-law relationship established between the sample mean and variance called Taylor's Law (TL) is studied. In particular, we aim to clarify the relationship between TL from the spatial ensemble (STL) and the temporal ensemble (TTL). Since the spatial ensemble corresponds to independent sampling from a stationary distribution, we confirm that STL is explained
-
Infinite ergodicity that preserves the Lebesgue measure. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-03-01 Ken-Ichi Okubo,Ken Umeno
In this study, we prove that a countably infinite number of one-parameterized one-dimensional dynamical systems preserve the Lebesgue measure and are ergodic for the measure. The systems we consider connect the parameter region in which dynamical systems are exact and the one in which almost all orbits diverge to infinity and correspond to the critical points of the parameter in which weak chaos tends
-
Information-theoretic characterization of eye-tracking signals with relation to cognitive tasks. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-03-01 F R Iaconis,A A Jiménez Gandica,J A Del Punta,C A Delrieux,G Gasaneo
Eye tracking is being increasingly used as a more powerful diagnosis instrument when compared with traditional pen-and-paper tests in psychopedagogy and psychology. This technology may significantly improve neurocognitive assessments in gathering indirect latent information about the subjects' performance. However, the meaning and implications of these data are far from being fully understood. In this
-
The impact of non-pharmaceutical interventions on the prevention and control of COVID-19 in New York City. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 Jiannan Yang,Qingpeng Zhang,Zhidong Cao,Jianxi Gao,Dirk Pfeiffer,Lu Zhong,Daniel Dajun Zeng
The emergence of coronavirus disease 2019 (COVID-19) has infected more than 62 million people worldwide. Control responses varied across countries with different outcomes in terms of epidemic size and social disruption. This study presents an age-specific susceptible-exposed-infected-recovery-death model that considers the unique characteristics of COVID-19 to examine the effectiveness of various non-pharmaceutical
-
Combination anti-coronavirus therapies based on nonlinear mathematical models. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 J A González,Z Akhtar,D Andrews,S Jimenez,L Maldonado,T Oceguera-Becerra,I Rondón,O Sotolongo-Costa
Using nonlinear mathematical models and experimental data from laboratory and clinical studies, we have designed new combination therapies against COVID-19.
-
Bubbling transition as a mechanism of destruction of synchronous oscillations of identical microbubble contrast agents. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 Ivan R Garashchuk,Dmitry I Sinelshchikov
We study the process of the destruction of synchronous oscillations in a model of two interacting microbubble contrast agents exposed to an external ultrasound field. Completely synchronous oscillations in this model are possible in the case of identical bubbles when the governing system of equations possess a symmetry leading to the existence of a synchronization manifold. Such synchronous oscillations
-
Synchronization of clocks and metronomes: A perturbation analysis based on multiple timescales. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 Guillermo H Goldsztein,Alice N Nadeau,Steven H Strogatz
In 1665, Huygens observed that two pendulum clocks hanging from the same board became synchronized in antiphase after hundreds of swings. On the other hand, modern experiments with metronomes placed on a movable platform show that they often tend to synchronize in phase, not antiphase. Here, we study both in-phase and antiphase synchronization in a model of pendulum clocks and metronomes and analyze
-
Data driven forecasting of aperiodic motions of non-autonomous systems. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 Vipin Agarwal,Rui Wang,Balakumar Balachandran
In the present effort, a data-driven modeling approach is undertaken to forecast aperiodic responses of non-autonomous systems. As a representative non-autonomous system, a harmonically forced Duffing oscillator is considered. Along with it, an experimental prototype of a Duffing oscillator is studied. Data corresponding to chaotic motions are obtained through simulations of forced oscillators with
-
A universal method of chaos cascade and its applications. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 Fang Yuan,Yuxia Li,Guangyi Wang
This paper proposes a universal method for a cascade chaotic system (CCS). CCSs may own better performances, including larger maximum Lyapunov exponents, extended full mapping range of chaos, and more coefficient variations. The chaos-cascade theorems had been proposed in our previous papers, which are more suitable for discrete chaotic systems with the same domain. In this paper, we further improve
-
Replicator equations induced by microscopic processes in nonoverlapping population playing bimatrix games. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 Archan Mukhopadhyay,Sagar Chakraborty
This paper is concerned with exploring the microscopic basis for the discrete versions of the standard replicator equation and the adjusted replicator equation. To this end, we introduce frequency-dependent selection-as a result of competition fashioned by game-theoretic consideration-into the Wright-Fisher process, a stochastic birth-death process. The process is further considered to be active in
-
Enhanced logical chaotic resonance. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 Yuangen Yao,Jun Ma,Rong Gui,Guanghui Cheng
It was demonstrated recently that logical chaotic resonance (LCR) can be observed in a bistable system. In other words, the system can operate robustly as a specific logic gate in an optimal window of chaotic signal intensity. Here, we report that the size of the optimal window of chaotic signal intensity can be remarkably extended by exploiting the constructive interaction of chaotic signal and periodic
-
On the hybrid Davies like generator for quantum dissipation. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 Dariusz Chruściński
We provide a class of quantum evolution beyond Markovian semigroup. This class is governed by a hybrid Davies like generator such that dissipation is controlled by a suitable memory kernel and decoherence by standard Gorini-Kossakowski-Lindblad-Sudarshan generator. These two processes commute and both of them commute with the unitary evolution controlled by the systems Hamiltonian. The corresponding
-
Consensus on simplicial complexes: Results on stability and synchronization. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 Lee DeVille
We consider a nonlinear flow on simplicial complexes related to the simplicial Laplacian and show that it is a generalization of various consensus and synchronization models commonly studied on networks. In particular, our model allows us to formulate flows on simplices of any dimension so that it includes edge flows, triangle flows, etc. We show that the system can be represented as the gradient flow
-
Quantum hydrodynamic theory of quantum fluctuations in dipolar Bose-Einstein condensate. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 Pavel A Andreev
Traditional quantum hydrodynamics of Bose-Einstein condensates (BECs) is restricted by the continuity and Euler equations. The quantum Bohm potential (the quantum part of the momentum flux) has a nontrivial part that can evolve under quantum fluctuations. The quantum fluctuations are the effect of the appearance of particles in the excited states during the evolution of BEC mainly consisting of the
-
Noise-driven multistability vs deterministic chaos in phenomenological semi-empirical models of whole-brain activity. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 Juan Piccinini,Ignacio Perez Ipiñna,Helmut Laufs,Morten Kringelbach,Gustavo Deco,Yonatan Sanz Perl,Enzo Tagliazucchi
An outstanding open problem in neuroscience is to understand how neural systems are capable of producing and sustaining complex spatiotemporal dynamics. Computational models that combine local dynamics with in vivo measurements of anatomical and functional connectivity can be used to test potential mechanisms underlying this complexity. We compared two conceptually different mechanisms: noise-driven
-
Two methods to approximate the Koopman operator with a reservoir computer. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 Marvyn Gulina,Alexandre Mauroy
The Koopman operator provides a powerful framework for data-driven analysis of dynamical systems. In the last few years, a wealth of numerical methods providing finite-dimensional approximations of the operator have been proposed [e.g., extended dynamic mode decomposition (EDMD) and its variants]. While convergence results for EDMD require an infinite number of dictionary elements, recent studies have
-
Multistability for nonlinear acoustic-gravity waves in a rotating atmosphere. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 N C Pati,Paulo C Rech,G C Layek
The multistable states of low-frequency, short-wavelength nonlinear acoustic-gravity waves propagating in a small slope with respect to the vertical ones are explored in a rotating atmosphere. The bifurcation patterns en route to irregular behaviors and the long-term dynamics of the low-order nonlinear model system are studied for varying air Prandtl number σ between 0.5 and 1. In contrast to non-rotation
-
Dynamical systems analysis as an additional tool to inform treatment outcomes: The case study of a quantitative systems pharmacology model of immuno-oncology. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-02-01 Aymen Balti,Didier Zugaj,Frédérique Fenneteau,Pierre-Olivier Tremblay,Fahima Nekka
Quantitative systems pharmacology (QSP) proved to be a powerful tool to elucidate the underlying pathophysiological complexity that is intensified by the biological variability and overlapped by the level of sophistication of drug dosing regimens. Therapies combining immunotherapy with more traditional therapeutic approaches, including chemotherapy and radiation, are increasingly being used. These
-
Model-based analysis and forecast of sleep-wake regulatory dynamics: Tools and applications to data. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 F Bahari,J Kimbugwe,K D Alloway,B J Gluckman
Extensive clinical and experimental evidence links sleep-wake regulation and state of vigilance (SOV) to neurological disorders including schizophrenia and epilepsy. To understand the bidirectional coupling between disease severity and sleep disturbances, we need to investigate the underlying neurophysiological interactions of the sleep-wake regulatory system (SWRS) in normal and pathological brains
-
Robust data assimilation with noise: Applications to cardiac dynamics. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Christopher D Marcotte,Flavio H Fenton,Matthew J Hoffman,Elizabeth M Cherry
Reconstructions of excitation patterns in cardiac tissue must contend with uncertainties due to model error, observation error, and hidden state variables. The accuracy of these state reconstructions may be improved by efforts to account for each of these sources of uncertainty, in particular, through the incorporation of uncertainty in model specification and model dynamics. To this end, we introduce
-
Emergent rhythms in coupled nonlinear oscillators due to dynamic interactions. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Shiva Dixit,Sayantan Nag Chowdhury,Awadhesh Prasad,Dibakar Ghosh,Manish Dev Shrimali
The role of a new form of dynamic interaction is explored in a network of generic identical oscillators. The proposed design of dynamic coupling facilitates the onset of a plethora of asymptotic states including synchronous states, amplitude death states, oscillation death states, a mixed state (complete synchronized cluster and small amplitude desynchronized domain), and bistable states (coexistence
-
Mitigating long transient time in deterministic systems by resetting. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Arnob Ray,Arnab Pal,Dibakar Ghosh,Syamal K Dana,Chittaranjan Hens
How long does a trajectory take to reach a stable equilibrium point in the basin of attraction of a dynamical system? This is a question of quite general interest and has stimulated a lot of activities in dynamical and stochastic systems where the metric of this estimation is often known as the transient or first passage time. In nonlinear systems, one often experiences long transients due to their
-
Estimating entropy rate from censored symbolic time series: A test for time-irreversibility. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 R Salgado-García,Cesar Maldonado
In this work, we introduce a method for estimating the entropy rate and the entropy production rate from a finite symbolic time series. From the point of view of statistics, estimating entropy from a finite series can be interpreted as a problem of estimating parameters of a distribution with a censored or truncated sample. We use this point of view to give estimations of the entropy rate and the entropy
-
Transfer learning of chaotic systems. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Yali Guo,Han Zhang,Liang Wang,Huawei Fan,Jinghua Xiao,Xingang Wang
Can a neural network trained by the time series of system A be used to predict the evolution of system B? This problem, knowing as transfer learning in a broad sense, is of great importance in machine learning and data mining yet has not been addressed for chaotic systems. Here, we investigate transfer learning of chaotic systems from the perspective of synchronization-based state inference, in which
-
Reversibility of non-saturated linear cellular automata on finite triangular grids. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Barbara Wolnik,Antoni Augustynowicz,Maciej Dziemiańczuk,Bernard De Baets
Discrete dynamical systems such as cellular automata are of increasing interest to scientists in a variety of disciplines since they are simple models of computation capable of simulating complex phenomena. For this reason, the problem of reversibility of such systems is very important and, therefore, recurrently taken up by researchers. Unfortunately, the study of reversibility is remarkably hard
-
On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrast to VAR and DMD. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Erik Bollt
Machine learning has become a widely popular and successful paradigm, especially in data-driven science and engineering. A major application problem is data-driven forecasting of future states from a complex dynamical system. Artificial neural networks have evolved as a clear leader among many machine learning approaches, and recurrent neural networks are considered to be particularly well suited for
-
Normal forms and averaging in an acceleration problem in nonholonomic mechanics. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Ivan Bizyaev,Sergey Bolotin,Ivan Mamaev
This paper investigates nonholonomic systems (the Chaplygin sleigh and the Suslov system) with periodically varying mass distribution. In these examples, the behavior of velocities is described by a system of the form dvdτ=f2(τ)u2+f1(τ)u+f0(τ),dudτ=-uv+g(τ), where the coefficients are periodic functions of time τ with the same period. A detailed analysis is made of the problem of the existence of modes
-
Detecting prediction limit of marked point processes using constrained random shuffle surrogate data. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Yutaka Shimada,Kohei Yamamoto,Tohru Ikeguchi
Marked point processes refer to time series of discrete events with additional information about the events. Seismic activities, neural activities, and price movements in financial markets are typical examples of marked point process data. In this paper, we propose a method for investigating the prediction limits of marked point process data, where random shuffle surrogate data with time window constraints
-
Response to "Comment on 'Modified multiscale fuzzy entropy: A robust method for short-term physiologic signals"' [Chaos 30, 083135 (2020)]. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Airton Monte Serrat Borin,Luiz Eduardo Virgilio Silva,Luiz Otavio Murta
-
A generalized permutation entropy for noisy dynamics and random processes. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 José M Amigó,Roberto Dale,Piergiulio Tempesta
Permutation entropy measures the complexity of a deterministic time series via a data symbolic quantization consisting of rank vectors called ordinal patterns or simply permutations. Reasons for the increasing popularity of this entropy in time series analysis include that (i) it converges to the Kolmogorov-Sinai entropy of the underlying dynamics in the limit of ever longer permutations and (ii) its
-
Nonexistence of invariant tori transverse to foliations: An application of converse KAM theory. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Nathan Duignan,James D Meiss
Invariant manifolds are of fundamental importance to the qualitative understanding of dynamical systems. In this work, we explore and extend MacKay's converse Kolmogorov-Arnol'd-Moser condition to obtain a sufficient condition for the nonexistence of invariant surfaces that are transverse to a chosen 1D foliation. We show how useful foliations can be constructed from approximate integrals of the system
-
Chaotic spin-photonic quantum states in an open periodically modulated cavity. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 I I Yusipov,S V Denisov,M V Ivanchenko
When applied to dynamical systems, both classical and quantum, time periodic modulations can produce complex non-equilibrium states which are often termed "chaotic." Being well understood within the unitary Hamiltonian framework, this phenomenon is less explored in open quantum systems. Here, we consider quantum chaotic states emerging in a leaky cavity when the intracavity photonic mode is coherently
-
Chaos in the peroxidase-oxidase oscillator. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Lars F Olsen,Anita Lunding
The peroxidase-oxidase (PO) reaction involves the oxidation of reduced nicotinamide adenine dinucleotide by molecular oxygen. When both reactants are supplied continuously to a reaction mixture containing the enzyme and a phenolic compound, the reaction will exhibit oscillatory behavior. In fact, the reaction exhibits a zoo of dynamical behaviors ranging from simple periodic oscillations to period-doubled
-
A SIRD epidemic model with community structure. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Jin-Xuan Yang
The study of epidemics spreading with community structure has become a hot topic. The classic SIR epidemic model does not distinguish between dead and recovered individuals. It is inappropriate to classify dead individuals as recovered individuals because the real-world epidemic spread processes show different recovery rates and death rates in different communities. In the present work, a SIRD epidemic
-
Evolutionary dynamics of cooperation with the celebrity effect in complex networks. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Yanyu Fu,Yan Zhang,Yu Guo,Yunya Xie
How long-term cooperation is maintained in a society is an important and interesting question. The evolutionary game theory is often used as the basic framework to study this topic. The social status of game participants has an important influence on individual decision-making. Enlightened by this thought, we present a classification imitation model where the mechanisms of the celebrity effect and
-
Texture classification based on image (natural and horizontal) visibility graph constructing methods. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Laifan Pei,Zhaohui Li,Jie Liu
Texture classification is widely used in image analysis and some other related fields. In this paper, we designed a texture classification algorithm, named by TCIVG (Texture Classification based on Image Visibility Graph), based on a newly proposed image visibility graph network constructing method by Lacasa et al. By using TCIVG on a Brodatz texture image database, the whole procedure is illustrated
-
Average conservative chaos in quantum dusty plasmas. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Álvaro G López,Rustam Ali,Laxmikanta Mandi,Prasanta Chatterjee
We consider a hydrodynamic model of a quantum dusty plasma. We prove mathematically that the resulting dust ion-acoustic plasma waves present the property of being conservative on average. Furthermore, we test this property numerically, confirming its validity. Using standard techniques from the study of dynamical systems, as, for example, the Lyapunov characteristic exponents, we investigate the chaotic
-
Topological characterization of toroidal chaos: A branched manifold for the Deng toroidal attractor. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Sylvain Mangiarotti,Christophe Letellier
When a chaotic attractor is produced by a three-dimensional strongly dissipative system, its ultimate characterization is reached when a branched manifold-a template-can be used to describe the relative organization of the unstable periodic orbits around which it is structured. If topological characterization was completed for many chaotic attractors, the case of toroidal chaos-a chaotic regime based
-
Effect of rate of change of parameter on early warning signals for critical transitions. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Induja Pavithran,R I Sujith
Many dynamical systems exhibit abrupt transitions or tipping as the control parameter is varied. In scenarios where the parameter is varied continuously, the rate of change of the control parameter greatly affects the performance of early warning signals (EWS) for such critical transitions. We study the impact of variation of the control parameter with a finite rate on the performance of EWS for critical
-
Earthworm activity and its coupling to soil hydrology: A deterministic analysis. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 S Mangiarotti,E Fu,P Jouquet,M T Tran,M Huc,N Bottinelli
Considering in situ observations, chaos theory was taken as a basis to study the activity of anecic earthworms based on cast production from September 2016 to January 2018 in the Dong Cao watershed (Vietnam). To study this activity, the global modeling technique was used to obtain deterministic models of ordinary differential equations directly from observational time series. The obtained models show
-
Functional differentiations in evolutionary reservoir computing networks. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Yutaka Yamaguti,Ichiro Tsuda
We propose an extended reservoir computer that shows the functional differentiation of neurons. The reservoir computer is developed to enable changing of the internal reservoir using evolutionary dynamics, and we call it an evolutionary reservoir computer. To develop neuronal units to show specificity, depending on the input information, the internal dynamics should be controlled to produce contracting
-
Probabilistic response of a fractional-order hybrid vibration energy harvester driven by random excitation. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Ya-Hui Sun,Yong-Ge Yang,Ying Zhang,Wei Xu
The stochastic response of a fractional-order hybrid vibration energy harvester is investigated in this paper. Equivalent system can be derived by the variable transformation. Then, the probability density functions of mechanical states are obtained by the stochastic averaging technique. The good agreement between numerical simulation and analytical results demonstrates the effectiveness of the proposed
-
Noise-induced complex oscillatory dynamics in the Zeldovich-Semenov model of a continuous stirred tank reactor. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Lev Ryashko
Noise-induced variability of thermochemical processes in a continuous stirred tank reactor is studied on the basis of the Zeldovich-Semenov dynamical model. For the deterministic variant of this model, mono- and bistability parametric zones as well as local and global bifurcations are determined. Noise-induced transitions between coexisting attractors (equilibria and cycles) and stochastic excitement
-
Global analysis of stochastic bifurcation in shape memory alloy supporter with the extended composite cell coordinate system method. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Xiaole Yue,Yilin Xiang,Ying Zhang,Yong Xu
As an intelligent material, a shape memory alloy has many unique mechanical properties, such as shape memory effect and pseudoelasticity, which have been used in many fields. In this paper, the stochastic bifurcation of the shape memory alloy supporter system subject to harmonic and bounded noise excitations is studied in detail by an extended composite cell coordinate system method. By analyzing the
-
Multi-scroll hidden attractor in memristive HR neuron model under electromagnetic radiation and its applications. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Sen Zhang,Jiahao Zheng,Xiaoping Wang,Zhigang Zeng
This paper aims to propose a novel no-equilibrium Hindmarsh-Rose (HR) neuron model with memristive electromagnetic radiation effect. Compared with other memristor-based HR neuron models, the uniqueness of this memristive HR neuron model is that it can generate multi-scroll hidden attractors with sophisticated topological structures and the parity of the scrolls can be controlled conveniently with changing
-
Neural modeling of antisaccade performance of healthy controls and early Huntington's disease patients. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Vassilis Cutsuridis,Shouyong Jiang,Matt J Dunn,Anne Rosser,James Brawn,Jonathan T Erichsen
Huntington's disease (HD), a genetically determined neurodegenerative disease, is positively correlated with eye movement abnormalities in decision making. The antisaccade conflict paradigm has been widely used to study response inhibition in eye movements, and reliable performance deficits in HD subjects have been observed, including a greater number and timing of direction errors. We recorded the
-
Brain rhythm bursts are enhanced by multiplicative noise. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Arthur S Powanwe,André Longtin
Many healthy and pathological brain rhythms, including beta and gamma rhythms and essential tremor, are suspected to be induced by noise. This yields randomly occurring, brief epochs of higher amplitude oscillatory activity known as "bursts," the statistics of which are important for proper neural function. Here, we consider a more realistic model with both multiplicative and additive noise instead
-
Measuring synchrony in bio-medical timeseries. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Marc G Leguia,Vikram R Rao,Jonathan K Kleen,Maxime O Baud
Paroxysms are sudden, unpredictable, short-lived events that abound in physiological processes and pathological disorders, from cellular functions (e.g., hormone secretion and neuronal firing) to life-threatening attacks (e.g., cardiac arrhythmia, epileptic seizures, and diabetic ketoacidosis). With the increasing use of personal chronic monitoring (e.g., electrocardiography, electroencephalography
-
Correlation between geometric parametric instability sidebands in graded-index multimode fibers. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Zhixiang Deng,Yu Chen,Jun Liu,Chujun Zhao,Dianyuan Fan
The spectral analysis of the light propagating in normally dispersive graded-index multimode fibers is performed under initial noisy conditions. Based on the obtained spectra with multiple simulations in the presence of noise, we investigate the correlation in energy between the well-separated spectral sidebands through both the scattergrams and the frequency-dependent energy correlation map and find
-
Dynamics of the price-volume information flow based on surrogate time series. Chaos An Interdiscip. J. Nonlinear Sci. (IF 2.9) Pub Date : 2021-01-01 Chun-Xiao Nie
This paper uses transfer entropy and surrogates to analyze the information flow between price and transaction volume. We use random surrogates to construct local random permutation (LRP) surrogates that can analyze the local information flow in detail. The analysis based on the toy models verifies the effectiveness of the LRP method. We further apply it to analyze three financial datasets, including