Periodic orbits, entropy, and rotation sets of continuous mappings of the circle

DOI10.1007/BF01092176zbMath0559.54035MaRDI QIDQ2266251

Mikhail Malkin

Publication date: 1983

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

periodic orbitstopological entropyrotation numbersSharkovskij's theoremendomorphism of the circle

Mathematics Subject Classification ID

Entropy in general topology (54C70)

Related Items

Some characteristics of complex behavior of orbits in dynamical systems ⋮ Space–time complexity in Hamiltonian dynamics

Cites Work

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• Continuous maps of the circle without periodic points
• Periods of Periodic Points of Maps of the Circle which Have a Fixed Point
• Rotation sets are closed
• Topological Entropy

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