Stable index pairs for discrete dynamical systems

Canadian Mathematical Bulletin

Volumn 40, Issue 4, 1997, Pages 448-455

  Kaczynski, Tomasz ^a   Mrozek, Marian ^b  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

^b JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031473888     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-1997-053-2     Document Type: Article

References (10)

1. C. Conley, On a generalization of the Morse index. In: Ordinary Differential Equations, 1971 NRL-MRC Conference, (ed. L. Weiss), Academic Press, New York, 1972, 27-33.
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3. K. Mischaikow and M. Mrozek, Chaos in the Lorenz equations: a computer assisted proof, Bull. Amer. Math. Soc. (1) 33(1995), 66-72.
4. -, Chaos in Lorenz equations: a computer assisted proof. Part II: details, preprint.
5. K. Mischaikow, M. Mrozek and A. Szymczak, Chaos in Lorenz equations: a computer assisted proof, Part III: the classic case, in preparation.
6. M. Mrozek, Leray functor and cohomological index for discrete dynamical systems, Trans. Amer. Math. Soc. 318(1990), 149-178.
7. J. W. Robbin and D. Salamon, Dynamical systems, shape theory and the Conley index, Ergodic Theory Dynamical Systems 8(1988), 375-393.
8. 1-maps in Banach spaces, J. Dynamics Differential Equations (3) 2(1990), 325-365.
9. A. Szymczak, The Conley index and symbolic dynamics, Topology 35(1996), 287-299.
10. F. W. Wilson and J. A. Yorke, Lyapunov functions and isolating blocks, J. Differential Equations 13(1973), 106-123.