Space-time chaos in spatially continuous systems

Physica D: Nonlinear Phenomena

Volumn 131, Issue 1-4, 1999, Pages 31-37

  Bunimovich, Leonid A ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Extended dynamical systems; PDEs; Space time chaos; Topological mixing

Indexed keywords

EID: 0039129428     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(98)00216-4     Document Type: Article

References (10)

1. [1] I.P. Cornfeld, Ya.Ga. Sinai, S.V. Fomin, Ergodic theory, Springer, Berlin, 1982.
2. [2] Ya.G. Sinai (Ed.), Dynamical Systems, II, Springer, New York, 1989.
3. [3] L.A. Bunimovich, Ya.G. Sinai, Nonlinearity 1 (1988).
4. [4] L.A. Bunimovich, Ya.G. Sinai, in: K. Kaneko (Ed.), Coupled Map Lattices: Theory and Applications, Wiley, Chichester, 1993, pp. 169.
5. [5] M. Lesieur (Ed.), Organized Structures and Turbulence in Fluid Mechanics, Kluwer Academic Publishers, Dordrecht, 1989.
6. [6] P. Coullet, P. Huerre (Eds.), New Trends in Nonlinear Dynamics and Pattern Forming Phenomena, Plenum Press, New York, 1990.
7. [7] A.I. Babin, L.A. Bunimovich, Nonlinearity 9 (1996) 853.
8. [8] A.I. Babin, L.A. Bunimovich, in preparation.
9. [9] J.L. Lions, Quelque Méthods de Resolution des Problemes aux Limites Nonlineares, Dunod, Paris, 1969.
10. [10] G. Goren, J.-P. Eckmann, I. Procaccia, A scenario for the onset of space-time chaos, 1997, preprint.