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Phase transitions in 2D linearly stable coupled map lattices

โœ 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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โœฆ 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.


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โœ Michael Blank ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 806 KB

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.