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Ergodicity of linked twist maps

Part of the Lecture Notes in Mathematics book series (LNM,volume 819)

Keywords

  • Unstable Manifold
  • Measure Zero
  • Full Measure
  • Orbit Structure
  • Invariant Curf

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References

  1. R. Devaney, Subshifts of finite type in linked twist mappings, Proceedings of the A.M.S. Vol. 71, No. 2, (1978), 334–338.

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  2. P. Billingsley, Ergodic theory and Information, John Wiley & Sons, Inc. (1965).

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  3. R. Easton, Chain transitivity and the domain of influence of an invariant set, Lecture Notes in Mathematics, Vol. 668, Springer-Verlag, Inc. (1978) 95–102.

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  4. M. Henon and C. Heiles, The applicability of the third integral of motion; some numerical experiments, The Astronomical Journal, 69 (1964), 73–79.

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  5. Y. Pesin, Characteristic Lyapunov exponents and smooth ergodic theory, Russian Math Surveys 32: 4(1977), 55–114.

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  6. B. Weiss, The geodesic flow on surfaces of negative curvature, Dynamical Systems, Theory and Applications, Lecture Notes in Physics 38, Springer-Verlag (1975), 224–236.

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© 1980 Springer-Verlag

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Burton, R., Easton, R.W. (1980). Ergodicity of linked twist maps. In: Nitecki, Z., Robinson, C. (eds) Global Theory of Dynamical Systems. Lecture Notes in Mathematics, vol 819. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086978

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  • DOI: https://doi.org/10.1007/BFb0086978

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10236-6

  • Online ISBN: 978-3-540-38312-3

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