Preview
Unable to display preview. Download preview PDF.
References
Fenichel, N., Asymptotic Stability with Rate Conditions, Indiana Univ. Math. J. 23, 12 (1974) 1109–1137.
Fenichel, N., The Orbit Structure of the Hopf Bifurcation Problem, J. Diff. Equations, 17 (1975) 1–21.
Hadamard, J., Sur l'Iteration et les Solutions Asymptotiques des Equations Differentielles, Bull. de la Soc. Math. de France 29 (1901) 224–228.
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.
Ruelle, D., and Takens, F., On the Nature of Turbulence, Comm. Math. Phys. 20 (1971) 167–192.
Sacker, R., On Invariant Surfaces and Bifurcation of Periodic Solutions of Ordinary Differential Equations, New York Univ., IMM-NYU 333, October 1964.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1975 Springer-Verlag
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/3-540-07171-7_15
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07171-6
Online ISBN: 978-3-540-37505-0
eBook Packages: Springer Book Archive