Lyapunov exponents and the natural invariant density determination of chaotic maps: an iterative maximum entropy ansatz

DOI10.1088/1751-8113/43/12/125103zbMath1217.37075arXiv0910.4561OpenAlexW1994823533MaRDI QIDQ3558070

Lawrence R. Mead, Parthapratim Biswas, Hironori Shimoyama

Publication date: 29 April 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4561

zbMATH Keywords

maximum entropy principleHausdorff moment problemcomputation of Lyapunov exponentsapproximation of invariant measurescomputational methods for ergodic theoryone-dimensional chaotic dymamics

Mathematics Subject Classification ID

Time series analysis of dynamical systems (37M10) Dynamical systems involving maps of the interval (37E05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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