Patterns of desynchronization and resynchronization in heteroclinic networks
File(s)hetII.pdf (523.91 KB)
Accepted version
Author(s)
Field, MJ
Type
Journal Article
Abstract
We prove results that enable the efficient and natural
realization of a large class of robust heteroclinic networks in
coupled identical cell systems. We also propose some general conjectures
that relate a natural and large class of robust heteroclinic
networks that occur in networks modelled by equations of Lotka-
Volterra type, and certain networks of symmetric systems, to robust
heteroclinic networks in coupled cell networks.
realization of a large class of robust heteroclinic networks in
coupled identical cell systems. We also propose some general conjectures
that relate a natural and large class of robust heteroclinic
networks that occur in networks modelled by equations of Lotka-
Volterra type, and certain networks of symmetric systems, to robust
heteroclinic networks in coupled cell networks.
Date Issued
2016-12-20
Date Acceptance
2016-11-22
Citation
Nonlinearity, 2016, 30 (2), pp.516-557
ISSN
1361-6544
Publisher
IOP Publishing
Start Page
516
End Page
557
Journal / Book Title
Nonlinearity
Volume
30
Issue
2
Copyright Statement
© 2016 IOP Publishing Ltd & London Mathematical Society
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Physics, Mathematical
Mathematics
Physics
heteroclinic networks
coupled cell systems
realization of heteroclinic networks
edge and face cycles
COUPLED CELL NETWORKS
EQUIVARIANT DYNAMICAL-SYSTEMS
CYCLES
EQUIVALENCE
SYMMETRY
OSCILLATORS
BIFURCATION
COMPETITION
SYNCHRONY
STABILITY
General Mathematics
0102 Applied Mathematics
Publication Status
Published