Stability of steady states in one-way open coupled map lattices

Keiji Konishi; Hideki Kokame; Kentaro Hirata

doi:10.1016/S0375-9601(99)00710-0

Stability of steady states in one-way open coupled map lattices

Keiji Konishi, Hideki Kokame, Kentaro Hirata

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

We investigate the spatiotemporal stability of steady states in one-way open coupled map lattices. It is found that H_∞-norm concept, which has been used as an important index in the filed of robust control theory, allows us to grasp the mechanism of spatial bifurcations in the one-way open coupled map lattices. We show that the spatial bifurcations in open flow models occur only when H_∞-norm of transfer function of each site is greater than 1. The computer simulations with a coupled logistic map lattice and a coupled Henon map lattice are in good agreement with our theoretical results.

Original language	English
Pages (from-to)	307-314
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	263
Issue number	4-6
DOIs	https://doi.org/10.1016/S0375-9601(99)00710-0
Publication status	Published - Dec 6 1999
Externally published	Yes

Keywords

CML
H-norm
Open flow models
Spatial bifurcations

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/S0375-9601(99)00710-0

Cite this

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title = "Stability of steady states in one-way open coupled map lattices",

abstract = "We investigate the spatiotemporal stability of steady states in one-way open coupled map lattices. It is found that H∞-norm concept, which has been used as an important index in the filed of robust control theory, allows us to grasp the mechanism of spatial bifurcations in the one-way open coupled map lattices. We show that the spatial bifurcations in open flow models occur only when H∞-norm of transfer function of each site is greater than 1. The computer simulations with a coupled logistic map lattice and a coupled Henon map lattice are in good agreement with our theoretical results.",

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author = "Keiji Konishi and Hideki Kokame and Kentaro Hirata",

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T1 - Stability of steady states in one-way open coupled map lattices

AU - Konishi, Keiji

AU - Kokame, Hideki

AU - Hirata, Kentaro

PY - 1999/12/6

Y1 - 1999/12/6

N2 - We investigate the spatiotemporal stability of steady states in one-way open coupled map lattices. It is found that H∞-norm concept, which has been used as an important index in the filed of robust control theory, allows us to grasp the mechanism of spatial bifurcations in the one-way open coupled map lattices. We show that the spatial bifurcations in open flow models occur only when H∞-norm of transfer function of each site is greater than 1. The computer simulations with a coupled logistic map lattice and a coupled Henon map lattice are in good agreement with our theoretical results.

AB - We investigate the spatiotemporal stability of steady states in one-way open coupled map lattices. It is found that H∞-norm concept, which has been used as an important index in the filed of robust control theory, allows us to grasp the mechanism of spatial bifurcations in the one-way open coupled map lattices. We show that the spatial bifurcations in open flow models occur only when H∞-norm of transfer function of each site is greater than 1. The computer simulations with a coupled logistic map lattice and a coupled Henon map lattice are in good agreement with our theoretical results.

KW - CML

KW - H-norm

KW - Open flow models

KW - Spatial bifurcations

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4-6

ER -

Stability of steady states in one-way open coupled map lattices

Abstract

Keywords

ASJC Scopus subject areas

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