Relative density of irrational rotation numbers in families of circle diffeomorphisms

DOI10.1017/S0143385798097648zbMath0915.58083OpenAlexW2035882046MaRDI QIDQ4236251

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Publication date: 5 July 1999

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385798097648

zbMATH Keywords

homoclinic orbitsArnold tonguerotation numberstransition mapsaddle-node periodic orbitone-parameter family of circle diffeomorphismsrelative density (measure)saddle-node periodic pointssmooth conjugacy classes

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Critical saddle-node bifurcations and Morse-Smale maps ⋮ Mating non-renormalizable quadratic polynomials ⋮ Self-similarity of bubbles ⋮ Families of vector fields with many numerical invariants

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