Bifurcation of an attracting invariant circle: a Denjoy attractor
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Publication:3673734
DOI10.1017/S0143385700001826zbMath0523.58027MaRDI QIDQ3673734
Publication date: 1983
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (7)
Transition to topological chaos for circle maps ⋮ On the periodic points of a two-parameter family of maps of the plane ⋮ Diffeomorphisms of thek-torus with wandering domains ⋮ Reeb orbits trapped by Denjoy minimal sets ⋮ Self-similar constructions in smooth dynamics: Rigidity, smoothness and dimension ⋮ Bifurcations de points fixes elliptiques. I: Courbes invariantes ⋮ Bifurcations de points fixes elliptiques. II: Orbites periodiques et ensembles de Cantor invariants. (Bifurcations of elliptic fixed points. II: Periodic orbits and invariant Cantor sets)
Cites Work
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- Periodic solutions and locking-in on the periodic surface
- Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
- Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
- The orbit structure of the Hopf bifurcation problem
- A pure point spectrum of the stochastic one-dimensional Schrödinger operator
- On the nature of turbulence
- Isolated Invariant Sets for Flows on Vector Bundles
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