Dynamics of a Hénon-Lozi-type map

Chaos, Solitons and Fractals

Volumn 12, Issue 12, 2001, Pages 2323-2341

  Aziz Alaoui, M A ^a   Robert, Carl ^b   Grebogi, Celso ^c  

^a UNIVERSITÉ DU HAVRE   (France)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; PIECEWISE LINEAR TECHNIQUES; THEOREM PROVING;

PIECEWISE LINEAR LOZI MAP;

COMPUTATIONAL GEOMETRY;

EID: 0035452564     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(00)00192-2     Document Type: Article

References (21)

1. The dynamics of a piecewise linear map and its smooth approximation
2. The dynamics of the Hénon maps
3. Homoclinic bifurcations and the area-conserving Hénon's mapping
4. Vertices in parameter space: Double crises which destroy chaotic attractors
5. Chaotic Attractors in Crisis
6. Crises sudden changes in chaotic attractors and chaotic transients
7. A two-dimensional mapping with a strange attractor
8. Monotonicity of the lozi family near the tent map
9. Un attracteur étrange(?) du type attracteur de Hénon
10. Strange attractors for the lozi-mappings
11. Border-collision bifurcations: An explanation for observed bifurcation phenomena
12. Border collision bifurcations including 'period two to period three' bifurcation for piecewise smooth systems
13. Explosions of chaotic sets
14. Invariants curves attractors and phase diagram of a piecewise linear map with chaos
15. Orientation-preserving Lozi map
16. The non-wandering set of some Hénon maps
17. The basin of the strange attractors of some Hénon maps
18. Statistical properties of dynamical systems with some hyperbolicity