Chaos in the lorenz equations: A computer-assisted proof

Bulletin of the American Mathematical Society

Volumn 32, Issue 1, 1995, Pages 66-72

  Mischaikow, Konstantin ^a   Mrozek, Marian ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002403778     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0273-0979-1995-00558-6     Document Type: Note

References (8)

1. S. P. Hastings and W. C. Troy, A shooting approach to the Lorenz equations, Bull. Amer. Math. Soc. (N.S.) 27 (1992), 298–303
2. T. Kaczyński and M. Mrozek, Conley index for discrete multivalued dynamical systems, Topology Appl. (to appear)
3. K. Mischaikow and M. Mrozek, Isolating neighborhoods and chaos, preprint
4. ——, Chaos in Lorenz equations: A computer assisted proof Part II: Details, in preparation
5. M. Mrozek, Leray functor and the cohomological Conley index for discrete dynamical systems, Trans. Amer. Math. Soc. 318 (1990), 149–178
6. ——, Topological invariants, multivalued maps and computer assisted proofs in dynamics, in preparation
7. M. R. Rychlik, Lorenz attractors through Šil‘nikov-type bifurcation. Part I, Ergodic Theory Dynamical Systems 10 (1989), 793–821
8. B. Hassard, S. P. Hastings, W. C. Troy, and J. Zhang, A computer proof that the Lorenz equations have “chaotic” solutions, Appl. Math. Lett. 7 (1994), 79–83