On the ergodic properties of piecewise linear perturbations of the twist map
- 1 December 1982
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 2 (3-4) , 525-542
- https://doi.org/10.1017/s0143385700001759
Abstract
It is proved that for a sequence of arbitrarily small piecewise linear perturbations of the twist map, there is a domain with stochastic behaviour (almost hyperbolicity). The measure of this domain has the asymptotics where A is the magnitude of the perturbation.Keywords
This publication has 3 references indexed in Scilit:
- A model problem with the coexistence of stochastic and integrable behaviourCommunications in Mathematical Physics, 1981
- A universal instability of many-dimensional oscillator systemsPhysics Reports, 1979
- Quasi-Elliptic Periodic Points in Conservative Dynamical SystemsAmerican Journal of Mathematics, 1977