Heterogeneous, weakly coupled map lattices

Author: 

Sotelo Herrera, M
San Martin, J
Porter, M

Publication Date: 

July 2016

Journal: 

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

Last Updated: 

2019-08-15T12:39:14.37+01:00

Volume: 

36

DOI: 

10.1016/j.cnsns.2015.12.007

page: 

549-563

abstract: 

© 2015 Elsevier B.V. Coupled map lattices (CMLs) are often used to study emergent phenomena in nature. It is typically assumed (unrealistically) that each component is described by the same map, and it is important to relax this assumption. In this paper, we characterize periodic orbits and the laminar regime of type-I intermittency in heterogeneous weakly coupled map lattices (HWCMLs). We show that the period of a cycle in an HWCML is preserved for arbitrarily small coupling strengths even when an associated uncoupled oscillator would experience a period-doubling cascade. Our results characterize periodic orbits both near and far from saddle-node bifurcations, and we thereby provide a key step for examining the bifurcation structure of heterogeneous CMLs.

Symplectic id: 

610358

Download URL: 

Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article