Transition to topological chaos for circle maps
- 1 March 1986
- journal article
- Published by Elsevier in Physica D: Nonlinear Phenomena
- Vol. 19 (2) , 206-237
- https://doi.org/10.1016/0167-2789(86)90020-5
Abstract
No abstract availableKeywords
This publication has 45 references indexed in Scilit:
- Rotation intervals of endomorphisms of the circleErgodic Theory and Dynamical Systems, 1984
- Sharkovskii's order for the appearance of superstable cycles in one‐parameter families of simple real maps: An elementary proofCommunications on Pure and Applied Mathematics, 1984
- Bifurcations from an invariant circle for two-parameter families of maps of the plane: A computer-assisted studyCommunications in Mathematical Physics, 1982
- On Feigenbaum's functional equation g ∘ g(λx) + λg(x) = 0Topology, 1982
- Iterative properties of a one-dimensional quartic map: Critical lines and tricritical behaviorPhysical Review A, 1981
- On the existence of Feigenbaum's fixed pointCommunications in Mathematical Physics, 1981
- Periodic points and topological entropy of one dimensional mapsPublished by Springer Nature ,1980
- Continuous maps of the circle without periodic pointsIsrael Journal of Mathematics, 1979
- The periodic points of maps of the disk and the intervalTopology, 1976
- Existence of periodic points for maps ofS 1Inventiones Mathematicae, 1973