A combinatorial procedure for finding isolating neighbourhoods and index pairs

Royal Society of Edinburgh - Proceedings A

Volumn 127, Issue 5, 1997, Pages 1075-1088

  Szymczak, Andrzej ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944433587     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500026901     Document Type: Article

References (10)

1. H. Hénon. A two-dimensional mapping with a strange attractor. Comm. Math. Phys. 50 (1976), 69-77.
2. T. Kaczński and M. Mrozek. Conley index for discrete multivalued dynamical systems. Topology Appl. 65 (1995), 83-96.
3. K. Mischaikow and M. Mrozek. Chaos in the Lorenz equations: a computer assisted proof. Bull. Amer. Math. Soc. 32 (1995), 66-72.
4. K. Mischaikow and M. Mrozek. Chaos in the Lorenz equations: a computer assisted proof. Part II: details (Preprint).
5. K. Mischaikow, M. Mrozek and A. Szymczak. Chaos in the Lorenz equations: a computer assisted proof. Part III: the classical case (in prep.).
6. M. Mrozek. Leray functor and cohomological Conley index for discrete dynamical systems. Trans. Amer. Math. Soc. 318 (1990), 149-78.
7. (Black star) (1988), 375-93.
8. E. Spanier. Algebraic Topology (New York: McGraw Hill, 1966).
9. A. Szymczak. The Conley index for decompositions of isolated invariant sets. Fund. Math. 148 (1995), 71-90.
10. P. Zgliczyński. Computer assisted proof of chaos in the Rössler equations and the Hénon map (Preprint, 1996).