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Stable Manifolds for Hyperbolic Sets

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Abstract

Next, we will generalize to more complicated hyperbolic sets, such as the horseshoe or a solenoid, the theory we have developed for a periodic point.

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References

  1. Melo, W., Structural stability of diffeomorphisms on two manifolds, Invent. Math. 21 (1973), 233.

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  4. Robbin, J., A structural stability theorem, Ann. of Math. 94 (1971), 447.

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  5. Robinson, C., Structural stability of C1 diffeomorphisms, J. Differential Equations 222 (1976), 28.

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© 1987 Springer-Verlag Berlin Heidelberg

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Shub, M. (1987). Stable Manifolds for Hyperbolic Sets. In: Global Stability of Dynamical Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1947-5_6

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  • DOI: https://doi.org/10.1007/978-1-4757-1947-5_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3079-8

  • Online ISBN: 978-1-4757-1947-5

  • eBook Packages: Springer Book Archive

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