Abstract
The notion of non-equilibrium potential for systems far from equilibrium is reviewed and the relation to the reversed process is examined. The potential is constructed in the neighborhood of the homogeneous attractors for a non-variational extended system, namely the subcritical complex Ginzburg-Landau equation. This construction is the second known example of a Lyapunov functional for a non-variational system.
Original language | English |
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Pages (from-to) | 2619-2630 |
Number of pages | 12 |
Journal | Chaos, Solitons and Fractals |
Volume | 12 |
Issue number | 14-15 |
DOIs | |
State | Published - 12 Nov 2001 |
Event | Irreversibility, Probability and Complexity - Brussels, Belgium Duration: 12 Nov 2001 → 12 Nov 2001 |
Bibliographical note
Funding Information:E.T. thanks the support of this work by Fondecyt (P. 1990991), FONDAP (P. 11980002), CNRS-CONICYT Project and Cátedra Presidencial en Ciencias. S.M. wishes to thank Fondecyt (P. 1970506). O.D. wishes to thank Fondecyt (P. 3940001) and Fondo de Ayuda a la Investigación de la Universidad de los Andes (P. ICIV-001-2000).
Keywords
- Computational complexity
- Entropy
- Lyapunov methods