Heteroclinic Networks in Homogeneous and Heterogeneous Identical Cell Systems

被引：36
作者：
Field, M. J. [1 ]
机构：
[1] Rice Univ, Dept Math, Houston, TX 77005 USA
来源：
JOURNAL OF NONLINEAR SCIENCE | 2015年 / 25卷 / 03期
基金：
美国国家科学基金会;
关键词：
Heteroclinic network; Coupled cell system; Network dynamics; DYNAMICAL EQUIVALENCE; ASYMPTOTIC STABILITY; CYCLES; BIFURCATION; COMPETITION; SYMMETRY; PATTERNS; SYNCHRONIZATION;
D O I：
10.1007/s00332-015-9241-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove results that enable realization of heteroclinic networks in coupled homogeneous and heterogeneous systems of identical cells. We also consider various models for network dynamics, which allow variation in the number of inputs to identical cells.
引用
收藏
页码：779 / 813
页数：35
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