个人简介
男、现为浙江师范大学特聘教授，h-index指数23，获省部级科技进步奖3项。2012年入选浙江省“新世纪151人才工程”第二层次；2013年获 “浙江省优秀科技工作者”；连续5年入选中国高被引学者。近年来主持国家自然科学基金3项(其中面上2项)。一直从事微分方程和动力系统的研究工作，在本学科方向的重要SCI期刊《Proc. Amer. Math. Soc.》、《J. Differential Equations》、《SIAM J. Appl. Math.》、《Studies. Appl. Math.》、《Proc. Edinburgh Math. Soc.》、《中国科学》、《Phys. Rev. E》等上发表系列论文。系统建立了四元数微分方程的基本框架；推广了庞加莱和李雅普诺夫关于二维平面系统可积的充要条件的经典理论,将此可积理论推广到了任意有限维；研究了测度链上微分方程的线性化，采用新的方法改进了Hilger关于测度链上Hartman-Grobman的线性化结果，并且解决Hilger未能解决的拓扑等价函数的周期性问题，证明了周期系统的的拓扑等价函数也是周期的；改进了张芷芬先生关于广义Lineard系统的一个经典定理，而且将她的结果推广到不连续系统。
近期论文
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Yong.DELAY DIFFERENTIAL EQUATIONS UNDER NONLINEAR IMPULSIVE CONTROL AND APPLICATIONS TO NEURAL NETWORK MODELS.系统科学与复杂性(英文版).2012,第25卷(第4期):707-719
Yonghui Xia.Theory and Applications of Periodic Solutions and Almost Periodic Solutions.Discrete Dynamics in Nature and Society.2013,Vol.2013
Syed?Abbas.Almost Automorphic Solutions of Impulsive Cellular Neural Networks with Piecewise Constant Argument.Neural Processing Letters.2015,Vol.42(No.3):691-702
Yong-Hui Xia.On the linearization theorem of Fenner and Pinto.Journal of Mathematical Analysis and Applications.2013,Vol.400(No.2):439-451
Xiang Gu and Yong-Hui Xia.Stability analysis in a nonlinear ecological model.Journal of Applied Mathematics and Computing.2012,Vol.39(No.1-2):189-200
Yong-Hui Xia.On the topological classification of dynamic equations on time scales.Nonlinear Analysis: Real World Applications.2013,Vol.14(No.6):2231-2248
Hartman–Grobman Theorem for the Impulsive System with Unbounded Nonlinear Term.Qualitative Theory of Dynamical Systems.2017,Vol.16(No.3):705-730
Xiaoqing Yuan.Nonautonomous impulsive systems with unbounded nonlinear terms.Applied Mathematics and Computation.2014,Vol.245:391-403
高永飞.非自治兔子食草模型的周期解 ..浙江大学学报(理学版).2012(第5期):507-511
夏永辉.具有广义指数型二分性的扰动系统的周期解磁.浙江师范大学学报(自然科学版).2016(第1期)
夏永辉.具有广义指数型二分性的扰动系统的周期解*.浙江师范大学学报(自然科学版).2016(第1期):28-33
Huicheng Wang.Periodic Solutions of a Stage-Structured Plant-Hare Model with Toxin-Determined Functional Responses.Abstract and Applied Analysis.2014,Vol.2014
Gao, Yongfei.Linearization of Impulsive Differential Equations with Ordinary Dichotomy..Abstract and Applied Analysis.2014,Vol.2014
王惠程.具有避难所的非自治捕食系统的周期解.上海师范大学学报(自然科学版).2015(第3期):314-321
Valery G. Romanovski.Varieties of local integrability of analytic differential systems and their applications.Journal of Differential Equations.2014,Vol.257(No.9):3079-3101
WANG Huicheng.Periodic solutions of a nonautonomous predator-prey model with a constant refuge.Journal of Shanghai Normal University (Natural Sciences).2015,Vol.44(No.3):314-321
Jifeng Chu.Nonuniform dichotomy spectrum and reducibility for nonautonomous equations.Bulletin des Sciences Math¡§|matiqu.2015,Vol.139(No.5):538-557
Yong-Hui Xia.On the linearization theorem for nonautonomous differential equations.Bulletin des Sciences Math¡§|matiqu.2015,Vol.139(No.7):829-846
Jifeng Chu.Dynamical Aspects of Initial/Boundary Value Problems for Ordinary Differential Equations 2014.Abstract and Applied Analysis.2015,Vol.2015
Yongli Song.Stability and Bifurcation Analysis of Differential Equations and Its Applications.Abstract and Applied Analysis.2015,Vol.2015
Yong-Hui Xia.Existence and Uniqueness of Solution for Perturbed Nonautonomous Systems with Nonuniform Exponential Dichotomy.Abstract and Applied Analysis.2014,Vol.2014
Gu, Xiang.Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations..Abstract and Applied Analysis.2014,Vol.2014
Gao, Yongfei.Linearization of Nonautonomous Impulsive System with Nonuniform Exponential Dichotomy..Abstract and Applied Analysis.2014,Vol.2014
Yongli Song.Stability and Bifurcation Analysis of Differential Equations and Its Applications.Abstract and Applied Analysis.2014,Vol.2014
Xia, YH.Almost Periodic Solution of a Population Model: via Spectral Radius of Matrix.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY.2014,Vol.37(No.1):249-259
Yong-Hui Xia.Bifurcation Analysis of a Population Dynamics in a Critical State.Bulletin of the Malaysian Mathematical Sciences Society.2015,Vol.38(No.2):499-527
Chen, Xiaodan.Topological conjugacy between two kinds of nonlinear differential equations via generalized exponential dichotomy..Int. J. Difference Equ..2011,Vol.2011
Yonghui Xia.Hölder Regularity of Grobman–Hartman Theorem for Dynamic Equations on Measure Chains.Bulletin of the Malaysian Mathematical Sciences Society.2018,Vol.41(No.3):1153-1180
Limit cycles of a Li¡§|nard system with symmetry allowing for discontinui.Journal of Mathematical Analysis and Applications.2018,Vol.468(No.2):799-816
Maoan Han.Dynamics of Nonlinear Systems.The Scientific World Journal.2014,Vol.2014
Syed ABBAS.Existence and attractivity of k-almost automorphic sequence solution of a model of cellular neural networks with delay.Acta Mathematica Scientia.2013,Vol.33(No.1):290-302
NEW CONDITIONS ON THE EXISTENCE AND STABILITY OF PERIODIC SOLUTION IN LOTKA-VOLTERRA\'S POPULATION SYSTEM.SIAM JOURNAL ON APPLIED MATHEMATICS.2009,Vol.69(No.6):1580-1597
Yonghui Xia.Synchronization schemes for coupled identical Yang–Yang type fuzzy cellular neural networks.Communications in Nonlinear Science and Numerical Simulation.2009,Vol.14(No.9-10):3645-3659
Boundness and Linearisation of a Class of Differential Equations with Piecewise Constant Argument.Qualitative Theory of Dynamical Systems:1-37
Yepeng Xing.Diversities of periodic solutions for a class of ecological model.Advances in Difference Equations.2012:108
Xia, Yong-Hui.Linearization for systems with partially hyperbolic linear part..Bull. Malays. Math. Sci. Soc. (2).2014,Vol.37(No.4):1195-1207
Wang, Liugen.A characterization of generalized exponential dichotomy..J. Appl. Anal. Comput..2015,Vol.5(No.4):662-687
Zhao, N. H..EXISTENCE OF ALMOST PERIODIC SOLUTIONS OF A NONLINEAR SYSTEM.JOURNAL OF APPLIED ANALYSIS AND COMPUTATION.2013,Vol.3(No.3):301-306
Kou, KI.Zeros of a class of transcendental equation with application to bifurcation of DDE.International journal of bifurcation and chaos in applied sciences and engineering.2016,Vol.26(No.4):1-14
Xia, Yonghui.PERIODIC SOLUTION OF A HIGHER DIMENSIONAL ECOLOGICAL SYSTEM.JOURNAL OF APPLIED ANALYSIS AND COMPUTATION.2016,Vol.6(No.3):893-906
Xia,Yonghui.Global exponential stability of a class of retarded impulsive differential equations with applications..Chaos, Solitons and Fractals.2009,Vol.39(No.1):440-453
Xia, Yonghui.Holder Regularity of Grobman-Hartman Theorem for Dynamic Equations on Measure Chains.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY.2018,Vol.41(No.3):1153-1180
Chu, Jifeng.Dynamical Aspects of Initial/Boundary Value Problems for Ordinary Differential Equations.ABSTRACT AND APPLIED ANALYSIS.2013
Kit Ian Kou.Linear Quaternion Differential Equations: Basic Theory and Fundamental Results.Studies in Applied Mathematics.2018,Vol.141(No.1):3-45
Zhu-fang Cui.The Wigner solution of quark gap equation and chiral phase transition of QCD at finite temperature and nonzero chemical potential.European Physical Journal C - Particles and Fields.2013,Vol.73(No.10)
Yuan-Heng Wang.Strong convergence for asymptotical pseudocontractions with the demiclosedness principle in banach spaces.Fixed point theory and applications.2012,Vol.2012(No.1)
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