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Wojtkowski, M.

On the ergodic properties of piecewise linear perturbations of the twist map. (English) Zbl 0528.58024

Ergodic Theory Dyn. Syst. 2, 525-542 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0528.58024

Cited in 6 Documents

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 orbit

Citations:

Zbl 0473.28006
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Full Text: DOI

References:

[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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