dorsal/arxiv
View SchemaExistence and Stability of Steady Fronts in Bistable CML
| Authors | B. Fernandez |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9511001 |
| URL | https://arxiv.org/abs/patt-sol/9511001 |
| DOI | 10.1007/BF02179796 |
Abstract
We prove the existence and we study the stability of the kink-like fixed points in a simple Coupled Map Lattice for which the local dynamics has two stable fixed points. The condition for the existence allows us to define a critical value of the coupling parameter where a (multi) generalized saddle-node bifurcation occurs and destroys these solutions. An extension of the results to other CML's in the same class is also displayed. Finally, we emphasize the property of spatial chaos for small coupling.
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"abstract": "We prove the existence and we study the stability of the kink-like fixed\npoints in a simple Coupled Map Lattice for which the local dynamics has two\nstable fixed points. The condition for the existence allows us to define a\ncritical value of the coupling parameter where a (multi) generalized\nsaddle-node bifurcation occurs and destroys these solutions. An extension of\nthe results to other CML\u0027s in the same class is also displayed. Finally, we\nemphasize the property of spatial chaos for small coupling.",
"arxiv_id": "patt-sol/9511001",
"authors": [
"B. Fernandez"
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"categories": [
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"doi": "10.1007/BF02179796",
"title": "Existence and Stability of Steady Fronts in Bistable CML",
"url": "https://arxiv.org/abs/patt-sol/9511001"
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