Generic properties of the rotation number of one-parameter diffeomorphisms of the circle

DOI10.21136/cmj.1974.101218zbMath0308.58007OpenAlexW2965146451MaRDI QIDQ4066280

Pavol Brunovský

Publication date: 1974

Full work available at URL: https://eudml.org/doc/12769

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Stability theory for smooth dynamical systems (37C75) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items

Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals, Directional differentiability of the rotation number for the almost- periodic Schrödinger equation, Absolute stability and bifurcation theory, One-parameter families of circle diffeomorphisms with strictly monotone rotation number, Bifurcations and stability of families of diffeomorphisms, Universal properties of maps of the circle with \(\epsilon\)-singularities, Unnamed Item

Cites Work

• Generic one-parameter families of vector fields on two-dimensional manifolds
• Analysis of Categorical Data by Linear Models
• Dynamical systems with countably-multiple Lebesgue spectrum. I
• Integral Equivalence of Vector Fields on Manifolds and Bifurcation of Differential Systems
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