Networks of planar Hamiltonian systems

被引：1
|
作者：
Tourigny, David S. [1 ]
机构：
[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Wilberforce Rd, Cambridge CB3 0WA, England
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2017年 / 53卷
关键词：
Complex networks; Activator-inhibitor; Synchronisation; Pattern formation; PATTERN-FORMATION; COMPLEX NETWORKS; SYNCHRONIZATION; OSCILLATORS; INSTABILITY; DYNAMICS; BEHAVIOR; MODEL;
D O I：
10.1016/j.cnsns.2017.05.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce diffusively coupled networks where the dynamical system at each vertex is planar Hamiltonian. The problems we address are synchronisation and an analogue of diffusion-driven Turing instability for time-dependent homogeneous states. As a consequence of the underlying Hamiltonian structure there exist unusual behaviours compared with networks of coupled limit cycle oscillators or activator-inhibitor systems. Crown Copyright (C) 2017 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：263 / 277
页数：15
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