An exhaustive criterion for the non-existence of invariant circles for area-preserving twist maps
- 1 June 1988
- journal article
- research article
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 117 (2) , 177-189
- https://doi.org/10.1007/bf01223588
Abstract
No abstract availableKeywords
This publication has 11 references indexed in Scilit:
- The Twist Map, the Extended Frenkel–Kontorova Model and the Devil’s StaircasePublished by Taylor & Francis ,2020
- Invariant circles and the order structure of periodic orbits in monotone twist mapsTopology, 1987
- Badly ordered periodic orbits of the standard mapPhysics Letters A, 1986
- Converse KAM: Theory and practiceCommunications in Mathematical Physics, 1985
- Non-existence of invariant circlesErgodic Theory and Dynamical Systems, 1984
- Some remarks on Birkhoff and Mather twist map theoremsErgodic Theory and Dynamical Systems, 1982
- A method for determining a stochastic transitionJournal of Mathematical Physics, 1979
- A universal instability of many-dimensional oscillator systemsPhysics Reports, 1979
- Sur quelques courbes fermées remarquablesBulletin de la Société Mathématiques de France, 1932
- Surface transformations and their dynamical applicationsActa Mathematica, 1922