Abstract

The paper analyzes a numerical model of an “active medium” with linear elasticity and a negative initial dissipation constant dynamically renormalized under deformation. The analysis shows that such a system, being seemingly unstable over a wide range of geometries and origins of deformation, can spontaneously reach stable dynamic modes in which its time- and space-alternating dissipation forms complex quasiperiodic patterns and its total volume (length, area) oscillates on a large scale. The results presented in the paper are of interest in academic terms and in terms of mechanical and biological application.

中文翻译：

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负耗散活性介质的自发稳定和大规模振荡

 抽象的

本文分析了具有线性弹性和变形下动态重正化的负初始耗散常数的“活性介质”的数值模型。分析表明，这种系统在各种几何形状和变形起源上看似不稳定，但可以自发地达到稳定的动态模式，其中其时间和空间交替耗散形成复杂的准周期模式及其总体积（长度、面积） ) 发生较大范围的振荡。论文中提出的结果在学术方面以及机械和生物应用方面都很有趣。