Mixing and relaxation dynamics of the Hénon map at the edge of chaos

2003/02/28 by Ernesto P. Borges, Uǧur Tırnaklı, Ugur Tirnakli · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Quantum chaos and dynamical systems #Statistical Mechanics and Entropy #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.physd.2004.01.015

published as Physica D 193, 148--152 (2004) · 10 pages with 3 figs

arxiv created 2003/02/28 · openalex publication_date 2004/03/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The mixing properties (or sensitivity to initial conditions) and relaxation dynamics of the Henon map, together with the connection between these concepts, have been explored numerically at the edge of chaos. It is found that the results are consistent with those coming from one-dimensional dissipative maps. This constitutes the first verification of the scenario in two-dimensional cases and obviously reinforces the idea of weak mixing and weak chaos. Keywords: Nonextensive thermostatistics, Henon map, dynamical systems

Cited by

• Two-dimensional dissipative maps at chaos threshold: sensitivity to initial conditions and relaxation dynamics

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