Phase transitions in 2D linearly stable coupled map lattices
โ Scribed by Y. Cuche; R. Livi; A. Politi
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 887 KB
- Volume
- 103
- Category
- Article
- ISSN
- 0167-2789
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โฆ Synopsis
Interlace dynamics separating homogeneous phases is shown to be the main mechanism underlying irregular evolution in 2D linearly stable, coupled map lattices. In a fully deterministic model belonging to this class, we find evidence of at least two different regimes that we call weak and strong turbulence. The transition between the two regimes is carefully investigated revealing a direct connection with the destabilization of the interfaces separating homogeneous phases. The critical behaviour i~ analysed and compared with that of stochastic models like directed percolation.
๐ SIMILAR VOLUMES
We investigate generalized phase transitions of type localization-delocalization from one to several Sinai-Bowen-Ruelle invariant measures in finite networks of chaotic elements (coupled map lattices) with general graphs of connections in the limit of weak coupling.