Existence of physical measures in some excitation–inhibition networks* - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Nonlinearity Année : 2021

Existence of physical measures in some excitation–inhibition networks*

Résumé

Abstract 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.

Dates et versions

hal-03953343 , version 1 (24-01-2023)

Identifiants

Citer

Matteo Tanzi, Lai-Sang Young. Existence of physical measures in some excitation–inhibition networks*. Nonlinearity, 2021, 35 (2), pp.889-915. ⟨10.1088/1361-6544/ac3eb6⟩. ⟨hal-03953343⟩
23 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More