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Hadamard's generalization of hyperbolicity, with applications to the hopf bifurcation problem

  • III. Nonlinear Differential Equations
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Dynamical Systems, Theory and Applications

Part of the book series: Lecture Notes in Physics ((LNP,volume 38))

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References

  1. Fenichel, N., Asymptotic Stability with Rate Conditions, Indiana Univ. Math. J. 23, 12 (1974) 1109–1137.

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  2. Fenichel, N., The Orbit Structure of the Hopf Bifurcation Problem, J. Diff. Equations, 17 (1975) 1–21.

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  3. Hadamard, J., Sur l'Iteration et les Solutions Asymptotiques des Equations Differentielles, Bull. de la Soc. Math. de France 29 (1901) 224–228.

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  4. Hirsch, M. W. and Pugh, C. C., Stable Manifolds and Hyperbolic Sets, Proc. Symposia in Pure Math., Vol. XIV., Amer. Math. Soc., (1970) 133–163.

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  5. Ruelle, D., and Takens, F., On the Nature of Turbulence, Comm. Math. Phys. 20 (1971) 167–192.

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  6. Sacker, R., On Invariant Surfaces and Bifurcation of Periodic Solutions of Ordinary Differential Equations, New York Univ., IMM-NYU 333, October 1964.

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Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, Vancouver, B. C.

    Neil Fenichel

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  1. Neil Fenichel
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J. Moser

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© 1975 Springer-Verlag

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Fenichel, N. (1975). Hadamard's generalization of hyperbolicity, with applications to the hopf bifurcation problem. In: Moser, J. (eds) Dynamical Systems, Theory and Applications. Lecture Notes in Physics, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07171-7_15

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  • DOI: https://doi.org/10.1007/3-540-07171-7_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07171-6

  • Online ISBN: 978-3-540-37505-0

  • eBook Packages: Springer Book Archive

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