Journal of Statistical Physics

, Volume 26, Issue 4, pp 683–695 | Cite as

On computing the entropy of the Henon attractor

  • James H. Curry
Articles

Abstract

In a recent article D. Ruelle [inLecture Notes in Physics, No. 80 (Springer, Berlin, 1978)] has conjectured that for the Hénon attractor its measure theoretic entropy should be equal to its characteristic exponent. This result is known to be true for systems which satisfy Smale's Axiom A. In this article we report the results of our computations which suggest that Ruelle's conjecture may be true for the Hénon attractor. Further, in our study we are confronted with fundamental questions which suggest that certain existence theorems from ergodic theory are not sufficient from a computational point of view.

Key words

Characteristic exponent entropy partition 

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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • James H. Curry
    • 1
  1. 1.Institut des Hautes Etudes ScientifiquesBures-sur-YvetteFrance

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