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

Keiji Konishi, Hideki Kokame, Kentaro Hirata

Research output: Contribution to journalArticle

16 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 languageEnglish
Pages (from-to)307-314
Number of pages8
JournalPhysics Letters A
Volume263
Issue number4-6
Publication statusPublished - Dec 6 1999
Externally publishedYes

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norms
control theory
logistics
transfer functions
computerized simulation

Keywords

  • CML
  • H-norm
  • Open flow models
  • Spatial bifurcations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Stability of steady states in one-way open coupled map lattices. / Konishi, Keiji; Kokame, Hideki; Hirata, Kentaro.

In: Physics Letters A, Vol. 263, No. 4-6, 06.12.1999, p. 307-314.

Research output: Contribution to journalArticle

Konishi, K, Kokame, H & Hirata, K 1999, 'Stability of steady states in one-way open coupled map lattices', Physics Letters A, vol. 263, no. 4-6, pp. 307-314.
Konishi, Keiji ; Kokame, Hideki ; Hirata, Kentaro. / Stability of steady states in one-way open coupled map lattices. In: Physics Letters A. 1999 ; Vol. 263, No. 4-6. pp. 307-314.
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