This paper is concerned with dynamical stability of general dynamical systems. We discuss invariance properties of some limit sets, investigate connections between various notions and definitions related to stability and attraction properties, and establish existence results for invariant uniform at
โฆ LIBER โฆ
On the Problem of Stability in Lattice Dynamical Systems
โ Scribed by L.A. Bunimovich; E.A. Carlen
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 513 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0022-0396
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โฆ Synopsis
We present methods for establishing the full non-linear stabilty of solutions of lattice dynamical systems. We apply these results to establish the existence of a "chaos-order" phase transition in a particular coupled map lattice model for which space time chaos in the small coupling regime had been established earlier. 1995
Academic Pres. Inc.
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