Logistic map trajectory distributions: Renormalization-group, entropy, and criticality at the transition to chaos

DOI10.1063/5.0040544zbMath1468.37009arXiv2102.08102OpenAlexW3135738829MaRDI QIDQ3388654

A. Diaz-Ruelas, Fulvio Baldovin, Alberto Robledo

Publication date: 6 May 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.08102

zbMATH Keywords

logistic mapsecond-order phase transitionperiod-doubling cascadedensity of ensemblesevolution of probability

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical aspects of statistical mechanics (37A60)

Related Items (1)

Scaling and fine structure of superstable periodic orbits in the logistic map

Cites Work

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• Analytical properties of horizontal visibility graphs in the Feigenbaum scenario
• Exact Dynamical Systems and the Frobenius-Perron Operator
• Chaos, Scattering and Statistical Mechanics

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