Renormalized entropy for one dimensional discrete maps: periodic and quasi-periodic route to chaos and their robustness

DOI10.1140/epjb/e2013-40184-2zbMath1515.37036arXiv1301.5747OpenAlexW3098802704MaRDI QIDQ6135286

Ugur Tirnakli, Gokhan Baris Bagci, Ozgur Afsar

Publication date: 26 July 2023

Published in: The European Physical Journal B. Condensed Matter and Complex Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5747

zbMATH Keywords

renormalized entropylogistic mapssine-circle maps

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Periodic orbits of vector fields and flows (37C27) Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

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Cites Work

• Unnamed Item
• Unnamed Item
• Criteria of self-organization.
• Turbulent motion and the structure of chaos. A new approach to the statistical theory of open systems. Transl. from the Russian by Alexander Dubroslavsky
• The renormalized entropy -- an appropriate complexity measure?
• Measures of statistical complexity: why?
• Chaos in Dynamical Systems
• Self-organization in dissipative optical lattices
• On the Length of Programs for Computing Finite Binary Sequences
• Information and self-organization. A macroscopic approach to complex systems.

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