Abstract
AbstractIt 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 asymptoticswhere A is the magnitude of the perturbation.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference5 articles.
1. Lyapunov characteristic exponents and smooth ergodic theory;Pesin;Usp. Mat. Nauk,1977
2. A model problem with the coexistence of stochastic and integrable behaviour
3. A universal instability of many-dimensional oscillator systems
4. Quasi-Elliptic Periodic Points in Conservative Dynamical Systems
5. [5] Katok A. & J.-M. Strelcyn. Invariant manifolds for smooth maps with singularities. Part I: Existence. Preprint (1980).
Cited by
16 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献