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Stochastic stability in some chaotic dynamical systems. (English) Zbl 0496.58010


MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37A99 Ergodic theory
37J40 Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion
28D05 Measure-preserving transformations
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References:

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[10] Lasota, A., Yorke, J. A.: On the existence of invariant measures for piecewise monotonic transformations. Trans. Amer. Math. Soc.186, 481–488 (1973). · Zbl 0298.28015 · doi:10.1090/S0002-9947-1973-0335758-1
[11] Li, T. Y.: Finite approximation for the Frobenius-Perron operator. A solution to Ulam’s conjecture.J. Approx. Th.17, 177–186 (1976). · Zbl 0357.41011 · doi:10.1016/0021-9045(76)90037-X
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[14] Wong, S.: Some metric properties of piecewise monotonic mappings of the unit interval. Trans. Amer. Math. Soc.246, 493–500 (1978). · Zbl 0401.28011 · doi:10.1090/S0002-9947-1978-0515555-9
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