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

Keiji Konishi, Hideki Kokame, Kentaro Hirata

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


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, Section A: General, Atomic and Solid State Physics
Issue number4-6
Publication statusPublished - Dec 6 1999
Externally publishedYes


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

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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