当前位置: X-MOL 学术Commun. Nonlinear Sci. Numer. Simul. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Excitable media store and transfer complicated information via topological defect motion
Communications in Nonlinear Science and Numerical Simulation ( IF 3.9 ) Pub Date : 2022-08-29 , DOI: 10.1016/j.cnsns.2022.106844
Ivan Sudakow , Sergey A. Vakulenko , Dmitry Grigoriev

Excitable media are prevalent models for describing interesting effects in physical, chemical, and biological systems such as pattern formation, chaos, and wave propagation. In this manuscript, we propose a spatially extended variant of the FitzHugh–Nagumo model that exhibits new effects. In this excitable medium, waves of new kinds propagate. We show that the time evolution of the medium state at the wavefronts is determined by complicated attractors which can be chaotic. The dimension of these attractors can be large and we can control the attractor structure by initial data and a few parameters. These waves are capable transfer complicated information given by a Turing machine or associative memory. We show that these waves are capable to perform cell differentiation creating complicated patterns.



中文翻译:

可激发媒体通过拓扑缺陷运动存储和传输复杂信息

可激发介质是描述物理、化学和生物系统中有趣效应的流行模型,例如图案形成、混沌和波传播。在这份手稿中,我们提出了 FitzHugh-Nagumo 模型的空间扩展变体,它表现出新的效果。在这种可激发的介质中,新种类的波传播。我们表明,波前介质状态的时间演化是由复杂的吸引子决定的,这些吸引子可能是混沌的。这些吸引子的维度可以很大,我们可以通过初始数据和一些参数来控制吸引子的结构。这些波能够传输图灵机或联想记忆给出的复杂信息。我们表明,这些波能够进行细胞分化,产生复杂的模式。

更新日期:2022-08-29
down
wechat
bug