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Linked twist mappings are almost anosov

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

Keywords

  • Conjugacy Class
  • Periodic Point
  • Homoclinic Point
  • Stable Curf
  • Piecewise Smooth Curve

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References

  1. Bowen, R.: On Axiom A Diffeomorphisms. Proc. CBMS Regional Conf. Math. Ser., No. 35, Amer. Math. Soc., Providence, R.I., 1978.

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  2. Braun, M.: Invariant curves, homoclinic points, and ergodicity in area preserving mappings. To appear.

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  3. Devaney, R.: Subshifts of finite type in linked twist mappings. Proc. Amer. Math. Soc. 71 (1978) 334–338.

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  4. Easton, R. and R. Burton: Ergodicity of linked twist mappings. This proceedings.

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  5. Nitecki, Z.: Differentiable Dynamics. MIT Press, Cambridge, Mass., 1971.

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  6. Moser, J.: Stable and Random motions in dynamical systems. Princeton University Press, Princeton, N.J., 1973.

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  7. Smale, S.: Differentiable dynamical systems. Bull. Amer. Math. Soc. 73 (1967) 747–817.

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  9. Thurston, W.: On the geometry and dynamics of diffeomorphisms of surfaces. To appear.

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© 1980 Springer-Verlag

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Devaney, R.L. (1980). Linked twist mappings are almost anosov. 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/BFb0086984

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  • DOI: https://doi.org/10.1007/BFb0086984

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  • Print ISBN: 978-3-540-10236-6

  • Online ISBN: 978-3-540-38312-3

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