Presentation 1999/9/21
Analysis of Spatial Bifurcations in One-way Open Flow Models
Keiji KONISHI, Hideki KOKAME, Kentaro HIRATA,
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Abstract(in English) The present paper investigates the temporally-spatially 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. It is shown 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 the theoretical results.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Spatial Bifurcations / CML / Open Flow Models / H_∞ norm
Paper # NLP99-68
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Conference Information
Committee NLP
Conference Date 1999/9/21(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Analysis of Spatial Bifurcations in One-way Open Flow Models
Sub Title (in English)
Keyword(1) Spatial Bifurcations
Keyword(2) CML
Keyword(3) Open Flow Models
Keyword(4) H_∞ norm
1st Author's Name Keiji KONISHI
1st Author's Affiliation Osaka Prefecture University()
2nd Author's Name Hideki KOKAME
2nd Author's Affiliation Osaka Prefecture University
3rd Author's Name Kentaro HIRATA
3rd Author's Affiliation Osaka Prefecture University
Date 1999/9/21
Paper # NLP99-68
Volume (vol) vol.99
Number (no) 323
Page pp.pp.-
#Pages 6
Date of Issue