On the ergodic properties of piecewise linear perturbations of the twist map

DOI10.1017/S0143385700001759zbMath0528.58024MaRDI QIDQ3308745

Maciej P. Wojtkowski

Publication date: 1982

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentBernoulli propertytransversal homoclinic orbithyperbolic fixed point

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ergodic theory (37A99)

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Cites Work

• A model problem with the coexistence of stochastic and integrable behaviour
• Quasi-Elliptic Periodic Points in Conservative Dynamical Systems