Transition to chaos for two-frequency systems
- 1 January 1984
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 45 (15), 741-746
- https://doi.org/10.1051/jphyslet:019840045015074100
Abstract
Many biperiodic flows can be modelled by maps of a circle to itself. We decompose the boundary of topological chaos in the space of C1 circle maps of degree 1 into four subsets, and describe the typical routes to topological chaosKeywords
This publication has 8 references indexed in Scilit:
- Bifurcations and stability of families of diffeomorphismsPublications mathématiques de l'IHÉS, 1983
- On Feigenbaum's functional equation g ∘ g(λx) + λg(x) = 0Topology, 1982
- Bifurcations from an invariant circle for two-parameter families of maps of the plane: A computer-assisted studyCommunications in Mathematical Physics, 1982
- Fine Structure of Phase LockingPhysical Review Letters, 1982
- Rotation sets are closedMathematical Proceedings of the Cambridge Philosophical Society, 1981
- A remark on the topological entropy of homeomorphismsInventiones Mathematicae, 1980
- Ergodic theory of differentiable dynamical systemsPublications mathématiques de l'IHÉS, 1979
- Homoclinic points of mappings of the intervalProceedings of the American Mathematical Society, 1978