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

✍ Scribed by Keiji Konishi; Hideki Kokame; Kentaro Hirata

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 281 KB
• Volume: 263
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00710-0

✦ Synopsis

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.