Amplitude equations for collective spatio-temporal dynamics in arrays of coupled systems

We study the coupling induced destabilization in an array of identical oscillators coupled in a ring structure where the number of oscillators in the ring is large. The coupling structure includes different types of interactions with several next neighbors. We derive an amplitude equation of Ginzbur...

Full description

Saved in:
Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2015-03, Vol.25 (3), p.033113-033113
Main Authors: Yanchuk, S, Perlikowski, P, Wolfrum, M, Stefański, A, Kapitaniak, T
Format: Article
Language:English
Subjects:
Algorithms
AMPLITUDES
CHAOS THEORY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Computer Simulation
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
COUPLING
EQUATIONS
Feedback
GINZBURG-LANDAU THEORY
INTERACTIONS
MATHEMATICAL SOLUTIONS
Models, Theoretical
Nonlinear Dynamics
OSCILLATORS
Oscillometry - methods
SPACE DEPENDENCE
Spatio-Temporal Analysis
TIME DEPENDENCE
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study the coupling induced destabilization in an array of identical oscillators coupled in a ring structure where the number of oscillators in the ring is large. The coupling structure includes different types of interactions with several next neighbors. We derive an amplitude equation of Ginzburg-Landau type, which describes the destabilization of a uniform stationary state and close-by solutions in the limit of a large number of nodes. Studying numerically an example of unidirectionally coupled Duffing oscillators, we observe a coupling induced transition to collective spatio-temporal chaos, which can be understood using the derived amplitude equations.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.4915941