Henon map
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Author: Dr. Michael Benedicks, Department of Mathematics, KTH, Stockholm, Sweden
on Amazon.Dr. Michael Benedicks accepted the invitation on 2 July 2007 (self-imposed deadline: 2 September 2007).
This article will briefly cover: (preliminarily)
Hénon's computer experiment and the phenemenology. (Relation to Lorenz system.) Concept of attractor(cf. Milnor's article). The idea of positive Lyapunov exponent and the Collet-Eckmann condition (positive Lyapunov exponent on the critical orbit(s)). Parameter choices (Cantor sets of positive measure). The concept of a critical set for Hénon maps. The ideas of invariant measures, SRB-measures, positive entropy (Sinai's and Katok's contributions). Relation between Lyapunov exponents and entropy and dimension. Statistical behaviour and correlation.
| Invited by: | Prof. James Meiss, Applied Mathematics University of Colorado |
