Absolute stability and synchronization in neural field models with transmission delays

Chiu Yen Kao, Chih Wen Shih*, Chang Hong Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Neural fields model macroscopic parts of the cortex which involve several populations of neurons. We consider a class of neural field models which are represented by integro-differential equations with transmission time delays which are space-dependent. The considered domains underlying the systems can be bounded or unbounded. A new approach, called sequential contracting, instead of the conventional Lyapunov functional technique, is employed to investigate the global dynamics of such systems. Sufficient conditions for the absolute stability and synchronization of the systems are established. Several numerical examples are presented to demonstrate the theoretical results.

Original languageEnglish
Pages (from-to)21-33
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Volume328-329
DOIs
StatePublished - 1 Aug 2016

Keywords

  • Absolute stability
  • Delay equations
  • Neural field models
  • Synchronization

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