Generalized phase transitions in finite coupled map lattices

Physica D: Nonlinear Phenomena

Volumn 103, Issue 1-4, 1997, Pages 34-50

  Blank, Michael ^a  

^a INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243279125     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(96)00251-5     Document Type: Article

References (13)

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3. M.L. Blank, Singular phenomena in chaotic dynamical systems, Dokl. Akad. Nauk (Russia) 328 (1) (1993) 7-11.
4. M.L. Blank and G. Keller, Stochastic stability versus localization in chaotic dynamical systems, preprint Schwerpunktprogramm der Deutshen Forschungsgemeinschaft 17/96 (1996).
5. J. Brichmont and A. Kupiainen, Coupled analytic maps, Nonlinearity 8 (3) (1995) 379-396.
6. L.A. Bunimovich, Ya.G. Pesin, Ya.G. Sinai and M.V. Jacobson, Ergodic theory of smooth dynamical systems, Modern problems of mathematics, Fundamental Trends 2 (1985) 113-231.
7. L.A. Bunimovich and Ya.G. Sinai, Spacetime chaos in coupled map lattices, Nonlinearity 1 (1988) 491-516.
8. K. Kaneko, ed., Theory and Applications of Coupled Map Lattices (Wiley, New York, 1993).
9. G. Keller and M. Kunzle, Transfer operators for coupled map lattices, Ergodic Theory Dynamical Systems 2 (1992) 297-318.
10. G. Keller and M. Kunzle, Some phase transitions in coupled map lattices, Physica D 59 (1992) 39-51.
11. M. Kunzle, Invariante Masse für Gekoppelte Abbildungsgitter, Ph.D. Thesis, Erlangen-Nurnberg University (1993).
12. A. Lasota and J.A. Yorke, On the existence of invariant measures for piecewise monotone transformations, Trans. Amer. Math. Soc. 186 (1973) 481-488.
13. Ya.G. Pesin, Space-time chaos in chains of weakly coupled hyperbolic maps, in: Advances in Soviet Mathematics, ed. Ya.G. Sinai, Vol. 3 (Harwood, New York, 1991).