IMPOSSIBILITY OF ASYMPTOTIC SYNCHRONIZATION FOR PULSE-COUPLED OSCILLATORS WITH DELAYED EXCITATORY COUPLING

被引：9

作者：

Wu, Wei ^{[1
]}

Chen, Tianping ^{[1
]}

机构：

[1] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NEURAL SYSTEMS | 2009年 / 19卷 / 06期

基金：

美国国家科学基金会;

关键词：

Synchronization; desynchronization; pulse-coupled oscillators; NEURAL-NETWORKS; SPIKE SYNCHRONIZATION; UNSTABLE ATTRACTORS; DYNAMICS; MODEL; NEURONS;

D O I：

10.1142/S0129065709002129

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Fireflies, as one of the most spectacular examples of synchronization in nature, have been investigated widely. In 1990, Mirollo and Strogatz proposed a pulse-coupled oscillator model to explain the synchronization of South East Asian fireflies (Pteroptyx malaccae). However, transmission delays were not considered in their model. In fact, when transmission delays are introduced, the dynamic behaviors of pulse-coupled networks change a lot. In this paper, pulse-coupled oscillator networks with delayed excitatory coupling are studied. A concept of synchronization, named weak asymptotic synchronization, which is weaker than asymptotic synchronization, is proposed. We prove that for pulse-coupled oscillator networks with delayed excitatory coupling, weak asymptotic synchronization cannot occur.

引用

页码：425 / 435

页数：11

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