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.
|Number of pages||8|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Publication status||Published - Dec 6 1999|
- Open flow models
- Spatial bifurcations
ASJC Scopus subject areas
- Physics and Astronomy(all)