Period-doubling cascades for large perturbations of Hénon families

Journal of Fixed Point Theory and Applications

Volumn 6, Issue 1, 2009, Pages 153-163

  Sander, Evelyn ^a   Yorke, James A ^b  

^a GEORGE MASON UNIVERSITY   (United States)

^b Bldg 142   (United States)

Author keywords

Bifurcation; Cascades; H non map; Horseshoe; Period doubling

Indexed keywords

EID: 70350736150     PISSN: 16617738     EISSN: 16617746     Source Type: Journal    
DOI: 10.1007/s11784-009-0116-7     Document Type: Article

References (6)

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3. I. Kan, H. Koçak, and J. A. Yorke, Antimonotonicity: Concurrent creation and annihilation of periodic orbits. Ann. of Math. 136 (1992), 219-252.
4. A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems. Cambridge Univ. Press, 1995.
5. E. Sander and J. A. Yorke, Period-doubling cascades galore. arXiv:0903.3613v2, submitted for publication, 2009.
6. J. A. Yorke and K. T. Alligood, Cascades of period-doubling bifurcations: a prerequisite for horseshoes. Bull. Amer. Math. Soc. (N.S.) 9 (1983), 319-322.