Controlling spatiotemporal chaos in coupled map lattices
- 16 May 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 63 (6) , 067201
- https://doi.org/10.1103/physreve.63.067201
Abstract
A simple method is presented for controlling spatiotemporal chaos in coupled map lattices to a homogeneous state. This method can be applied to many kinds of models such as coupled map lattices (CML), one-way open CML (the open-flow model), and globally coupled map. We offer the stability analysis of the homogeneous state. Simple and sufficient conditions are obtained for controlling the above mentioned models. Our theoretical results agree well with numerical simulations.Keywords
This publication has 15 references indexed in Scilit:
- Pinning Control of Spatiotemporal ChaosPhysical Review Letters, 1997
- Controlling turbulence in coupled map lattice systems using feedback techniquesPhysical Review E, 1997
- Pattern dynamics of a coupled map lattice for open flowPhysica D: Nonlinear Phenomena, 1995
- Controlling spatiotemporal chaos in a chain of the coupled logistic mapsIEEE Transactions on Circuits and Systems I: Regular Papers, 1995
- Relevance of dynamic clustering to biological networksPhysica D: Nonlinear Phenomena, 1994
- Controlling extended systems of chaotic elementsPhysical Review Letters, 1994
- Controlling spatiotemporal chaos in coupled map lattice systemsPhysical Review Letters, 1994
- Overview of coupled map latticesChaos: An Interdisciplinary Journal of Nonlinear Science, 1992
- Chaotic but regular posi-nega switch among coded attractors by cluster-size variationPhysical Review Letters, 1989
- Pattern dynamics in spatiotemporal chaosPhysica D: Nonlinear Phenomena, 1989