The non-wandering set of some Hénon maps

Chaos, Solitons and Fractals

Volumn 11, Issue 13, 2000, Pages 2045-2053

  Cao, Yongluo ^a   Mao, Jian Min ^b  

^a SOOCHOW UNIVERSITY   (China)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MORPHOLOGY; NUMERICAL ANALYSIS; SET THEORY;

HENON MAPS;

CHAOS THEORY;

EID: 0033722854     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0960-0779(99)00098-3     Document Type: Article

References (9)

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2. Benedicks M, Moeckel R. An attractors for certain Hénon maps. Preprint EHT, 1990.
3. Cao Y. Strange attractor of the Hénon map and its basin. Science in China Series A 1995;38:29-35.
4. Cao Y. The nonwandering set of some Hénon maps. Chinese Science Bulletin, to appear.
5. Hénon M. A two dimensional mapping with a strange attractor. Communications in Mathematical Physics 1976;50:69-77.
6. Mora L, Viana M. Abundance of strange attractors. Acta Mathematica 1993;170:1-63.
7. Palis J, Takens F. Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcation. Cambridge: Cambridge Press, 1993.
8. Shub M. Global stability of dynamical systems. Berlin: Springer, 1987.
9. Viana M. Global attractors and bifurcations. In: Progress in nonlinear differential equations and their applications, vol. 19. Basel: Birkhauser, 1996. p. 299-324.