On the ergodic properties of piecewise linear perturbations of the twist map. (English) Zbl 0528.58024
MSC:
37A99 | Ergodic theory |
28D05 | Measure-preserving transformations |
37J40 | Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion |
Keywords:
Lyapunov exponent; Bernoulli property; hyperbolic fixed point; transversal homoclinic orbitCitations:
Zbl 0473.28006References:
[1] | Pesin, Usp. Mat. Nauk 32 pp 55– (1977) |
[2] | DOI: 10.1016/0370-1573(79)90023-1 · doi:10.1016/0370-1573(79)90023-1 |
[3] | DOI: 10.1007/BF01941656 · Zbl 0473.28006 · doi:10.1007/BF01941656 |
[4] | DOI: 10.2307/2374000 · Zbl 0379.58011 · doi:10.2307/2374000 |
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