Onset of chaos in coupled map lattices via the peak-crossing bifurcation

Nonlinearity

Volumn 9, Issue 5, 1996, Pages 1281-1298

  Bunimovich, L A ^a   Venkatagiri, S ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000608873     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/9/5/010     Document Type: Article

References (13)

1. Bunimovich L A 1995 Coupled map lattices: one step forward and two steps back Physica 86D 248-55
2. Brickmont J and Kupiainen A 1995 Coupled analytic maps Nonlinearity 8 379-96
3. Brickmont J and Kupiainen A 1995 High temperature expansions and dynamical systems Preprint
4. Bunimovich L A, Livi R, Martinez-Mekler G and Ruffo S 1992 Coupled trivial maps Chaos 2 283-92
5. Bunimovich L A and Sinai Ya G 1988 Spacetime chaos in coupled map lattices Nonlinearity 1 491-516
6. Huerre P and Coullet P (ed) 1989 New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena (New York: Plenum)
7. Jiang M 1995 Equilibrium states for lattice models of hyperbolic type Nonlinearity 8 631-59
8. Jiang M and Mazel A 1996 Uniqueness of Gibbs states and exponential decay of correlations for some lattice models J. Stat. Phys 82 797-821
9. Jonker L and Rand D 1981 Bifurcations in one dimension Invent. Math. 62 347-65
10. Kaneko K (ed) Coupled Map Lattices (New York: Wiley)
11. Kaneko K (ed) 1992 Focus issue on coupled map lattices Chaos 2
12. Lesier M (ed) 1989 Organized Structures and Turbulence in Fluid Mechanics (New York: Kluwer)
13. Li T-Y and Yorke J A 1978 Ergodic transformations from an interval into itself AMS Trans. 235 183-92