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Differentiability of the stable foliation for the model Lorenz equations

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Dynamical Systems and Turbulence, Warwick 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 898))

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References

  1. J. Guckenheimer & R. F. Williams, Structural stability of Lorenz attractors, Publ. IHES, no. 50 (1979), pp. 59–72.

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  2. M. Hirsch & C. Pugh, Stable manifolds and hyperbolic sets, Proceedings of Symposia in Pure Math 14, Amer. Math. Soc. 1970, pp. 133–163.

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  3. E. Lorenz, Deterministic nonperiodic flow, J. Atmospheric Sciences 20 (1963) pp. 130–141.

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  4. J. Palis, C. Pugh & R. C. Robinson, Nondifferentiability of invariant foliations, Dynamical Systems—Warwick 1974, ed. A. Manning, Lecture Notes in Math., 468, Springer-Verlag, Berlin-Heidelberg-New York, 1975.

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  5. C. Robinson & L. S. Young, Nonabsolutely continuous foliations for an Anosov diffeomorphism, to appear in Inventiones Math.

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  6. R.F. Williams, The structure of Lorenz attractors, Publ. IHES, no. 50 (1979), pp. 73–99.

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  7. A. Katok & J-M. Strelcyn, Invariant manifolds for smooth maps with singularities, preprint.

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Authors and Affiliations

  1. Department of Mathematics, Northwestern University, 60201, Evanston, Illinois, USA

    Clark Robinson

Authors
  1. Clark Robinson
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David Rand Lai-Sang Young

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© 1981 Springer-Verlag

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Robinson, C. (1981). Differentiability of the stable foliation for the model Lorenz equations. In: Rand, D., Young, LS. (eds) Dynamical Systems and Turbulence, Warwick 1980. Lecture Notes in Mathematics, vol 898. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091921

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  • DOI: https://doi.org/10.1007/BFb0091921

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11171-9

  • Online ISBN: 978-3-540-38945-3

  • eBook Packages: Springer Book Archive

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