2005/01/31 by E. Mayoral, A. Robledo · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Statistical Mechanics and Entropy #cond-mat.stat-mech #nlin.CD
paper · pdf · doi:10.1103/physreve.72.026209
published as Physical Review E 72, 026209 (2005) · Significantly enlarged version, additional figures and references. To be published in Physical Review E
arxiv created 2005/07/08 · openalex publication_date 2005/08/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We uncover the basis for the validity of the Tsallis statistics at the onset of chaos in logistic maps. The dynamics within the critical attractor is found to consist of an infinite family of Mori's q -phase transitions of rapidly decreasing strength, each associated with a discontinuity in Feigenbaum's trajectory scaling function sigma. The value of q at each transition corresponds to the same special value for the entropic index q, such that the resultant sets of q-Lyapunov coefficients are equal to the Tsallis rates of entropy evolution.