Kneading theory and rotation intervals for a class of circle maps of degree one
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Publication:4712974
DOI10.1088/0951-7715/3/2/008zbMath0735.54026OpenAlexW2047021769MaRDI QIDQ4712974
Lluís Alsedà, Francesc Mañosas
Publication date: 25 June 1992
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/3/2/008
periodic orbitsrotation numbertopological entropykneading theoryVan der Pol equationrotation intervalitinerariesarea-contracting mapscircle map of degree one
Dynamical systems involving maps of the circle (37E10) Topological entropy (37B40) Rotation numbers and vectors (37E45)
Related Items (10)
Piecewise linear models for the quasiperiodic transition to chaos ⋮ The set of maps \(F_{a,b}:x\mapsto x+a+{b\over 2\pi}\sin(2\pi x)\) with any given rotation interval is contractible ⋮ On the topological dynamics and phase-locking renormalization of Lorenz-like maps ⋮ On families of Bowen-Series-like maps for surface groups ⋮ A characterization of the kneading pair for bimodal degree one circle maps ⋮ The Period Adding and Incrementing Bifurcations: From Rotation Theory to Applications ⋮ The dynamics of off-center reflection. ⋮ ON THE STRUCTURE OF THE KNEADING SPACE OF BIMODAL DEGREE ONE CIRCLE MAPS ⋮ Non-Sturmian sequences of matrices providing the maximum growth rate of matrix products ⋮ Devil's staircase route to chaos in a forced relaxation oscillator
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