A new proof for existence of horseshoe in the Rössler system

Chaos, Solitons and Fractals

Volumn 18, Issue 2, 2003, Pages 223-227

  Yang, Xiao Song ^a,b,c   Yu, Yongguang ^b   Zhang, Suochun ^b  

^a XIAMEN UNIVERSITY   (China)

^b INSTITUTE OF APPLIED MATHEMATICS   (China)

^c CHONGQING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMPUTER APPLICATIONS; TOPOLOGY;

HORSESHOE THEORY;

THEOREM PROVING;

EID: 0038220924     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(02)00641-0     Document Type: Article

References (7)

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2. Mischaikow K., Mrozek M. Chaos in the Lorenz equations: a computer assisted proof. Bull. AMS. 32:1995;66-72.
3. Mischaikow K., Mrozek M. Isolating neighborhoods and chaos. Jpn. J. Ind. Appl. Math. 12:1995;205-236.
4. Mrozek M. Leray function and cohomological Conley for discrete dynamical systems. Trans. Am. Math. Soc. 318:1990;147-178.
5. Zgliczyński P. Computer assisted proof of chaos in the Rössler equations and in the Hénon map. Nonlinearity. 10:1997;243-252.
6. Kennedy J., York J.A. Topological horseshoes. Trans. Am. Math. Soc. 353:2001;2513-2530.
7. Wiggins S. Introduction to applied nonlinear dynamical systems and chaos. 1990;Springer-Verlag, New York.