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Spatial disorder and pattern formation in lattices of coupled bistable elements

โœ Scribed by V.I. Nekorkin; V.A. Makarov; V.B. Kazantsev; M.G. Velarde

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
670 KB
Volume
100
Category
Article
ISSN
0167-2789

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โœฆ Synopsis

The spatio-temporal dynamics of discrete lattices of coupled bistable elements is considered. It is shown that both regular and chaotic spatial field distributions can be realized depending on parameter values and initial conditions. For illustration, we provide results for two lattice systems: the FitzHugh-Nagumo model and a network of coupled bistable oscillators. For the latter we also prove the existence of phase clusters, with phase locking of elements in each cluster.

๐Ÿ“œ SIMILAR VOLUMES

Stability of synchronized dynamics and p
Stability of synchronized dynamics and pattern formation in coupled systems: Review of some recent results
โœ Yonghong Chen; Govindan Rangarajan; Mingzhou Ding ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 426 KB

In arbitrarily coupled dynamical systems (maps or ordinary differential equations), the stability of synchronized states (including equilibrium point, periodic orbit or chaotic attractor) and the formation of patterns from loss of stability of the synchronized states are two problems of current rese