Existence of physical measures in some excitation–inhibition networks*
Existence of physical measures in some excitation–inhibition networks*
复制标题
一些激励抑制网络中存在物理措施*
DOI：
10.1088/1361-6544/ac3eb6
复制
发表时间：
2021
期刊：
影响因子：
1.7
通讯作者：
Young, Lai-Sang
中科院分区：
文献类型：
--
作者：
Tanzi, Matteo;Young, Lai-Sang
在本文中，我们提出了一个严格的分析一类耦合动力系统中，两种不同类型的组件，一个兴奋和其他抑制，相互作用。这些网络模型的大小是有限的，但可以是任意大的。它们受到真实的生物网络的启发，并具有生物系统中理想化的特征。网络的各个组成部分是由简单的，大量研究的动力系统。网络层次上的复杂动态模式是其组成子系统之间耦合的结果。呼吁现有的技术（非均匀）双曲理论，我们研究他们的李雅普诺夫指数和熵，并证明了大时间网络动力学的物理措施与SRB属性。
In this paper we present a rigorous analysis of a class of coupled dynamical systems in which two distinct types of components, one excitatory and the other inhibitory, interact with one another. These network models are finite in size but can be arbitrarily large. They are inspired by real biological networks, and possess features that are idealizations of those in biological systems. Individual components of the network are represented by simple, much studied dynamical systems. Complex dynamical patterns on the network level emerge as a result of the coupling among its constituent subsystems. Appealing to existing techniques in (nonuniform) hyperbolic theory, we study their Lyapunov exponents and entropy, and prove that large time network dynamics are governed by physical measures with the SRB property.