On the abundance of traveling waves in 1D infinite cellular automata

Physica D: Nonlinear Phenomena

Volumn 103, Issue 1-4, 1997, Pages 133-144

  Courbage, Maurice ^a,b  

^a UNIVERSITÉ PARIS DESCARTES   (France)

^b University of Paris VII LPSM partially supported by ERC Starting Grant 680275 MALIG   (France)

Author keywords

Nonlinear traveling waves; Spatio temporal chaos

Indexed keywords

EID: 0000818217     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(96)00256-4     Document Type: Article

References (9)

1. V.S. Afraimovich and V.I. Nekorkin, Chaos of traveling waves in a discrete chain of diffusively coupled maps, Int. J. Bifurcation and Chaos 4 (1994) 631-637.
2. V.S. Afraimovich and Ya. Pesin, Travelling waves in lattice models of multi-dimensional and multi-component media: I. General hyperbolic properties, Nonlinearity 6 (1993) 429-455;
3. V.S. Afraimovich and Ya. Pesin and Templeman, Travelling waves in lattice models of multi-dimensional and multi-component media: II. Ergodic properties and dimension, Chaos 3, 233-241.
4. R.E. Blahut, Theory and Practice of Error Control Codes (Addison-Wesley, New York, 1983).
5. R.L. Devaney, An Introduction to Chaotic Dynamical Systems (Addison-Wesley, New York, 1987).
6. G.L. Oppo and R. Kapral, Discrete models for the formation and evolution of spatial structures in dissipative systems, Phys. Rev. A 33 (1986) 4219.
7. M.A. Shereshevsky, Ergodic properties of certain surjective cellular automata, Mh. Math. 114 (1992) 305-316.
8. M.A. Shereshevsky and V.S. Afraimovich, Bipermutative Cellular Automata are topologically conjugate to one sided Bernoulli shift, Random. Comp. Dyn. 1 (1992) 91-98.
9. S. Wolfram, Cellular Automata and Complexity (Addison-Wesley, New York, 1994).