The basin of the strange attractors of some Hénon maps

Chaos, Solitons and Fractals

Volumn 11, Issue 5, 2000, Pages 729-734

  Cao, Yongluo ^a   Kiriki, Shin ^b  

^a SOOCHOW UNIVERSITY   (China)

^b TOKYO DENKI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

THEOREM PROVING;

HENON MAPS;

COMPUTATIONAL GEOMETRY;

EID: 0033899267     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(98)00181-7     Document Type: Article

References (9)

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2. Yongluo Cao, The transversal homoclinic points are dense in the codimension one Hénon-like strange attractors, Proc. A.M.S. 127 (1999) 1877-1883.
3. M. Hénon, A dimensional-2 mapping with a strange attractor, Commun. Math. Phys. 50 (1976) 69-77.
4. L. Mora, M. Viana, Abundance of strange attractors, Acta. Math. 170 (1993) 1-63.
5. J. Palis, M. de Mélo, Geometric Theory of Dynamical Systems, Springer, Berlin, 1982.
6. J. Palis, F. Takens, Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcation, Cambridge Press, London, NewYork, 1993.
7. M. Shub, Global Stability of Dynamical Systems, Springer, Berlin, 1987.
8. S. Smale, The Mathematics of Times, Springer, Berlin, 1980.
9. M. Viana, Global attractors and bifurcations, Progress in Non-linear Differential Equations and Their Applications, Birkhauser Verlag, Boston/Stuttgart, 1996, pp. 299-324.