OBSERVED ROTATION NUMBERS IN FAMILIES OF CIRCLE MAPS

DOI10.1142/S0218127401001967zbMath1090.37536OpenAlexW1973922500MaRDI QIDQ5474155

Michael A. Saum, Todd R. Young

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127401001967

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Rotation numbers and vectors (37E45)

Related Items (2)

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

Cites Work

• Bifurcations and stability of families of diffeomorphisms
• On the concept of attractor
• Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals
• Generic hyperbolicity in the logistic family
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Entropy and rotation intervals for circle maps near saddle-node bifurcations
• Rotation intervals of endomorphisms of the circle
• Conventional multipliers for homoclinic orbits
• COLOR MAP OF LYAPUNOV EXPONENTS OF INVARIANT SETS
• Lyapunov Graph for Two-Parameters Map: Application to the Circle Map

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