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Book Review

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Book Information:

Author: Yuri A. Kuznetsov
Title: Elements of applied bifurcation theory
Additional book information: Applied Mathematical Sciences, vol. 112, Springer-Verlag, Berlin and New York, 1995, xv+515 pp., ISBN 0-387-94418-4, $59.95$

References [Enhancements On Off] (What's this?)

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  • A. Andronov and L. Pontryagin, Systémes grossieres, Dokl. Acad. Nauk SSSR 14 (1937), 247–251.
  • V. I. Arn$^\prime$old, V. Afraimovich, Y. Il$^\prime$yashenko, and L. Sil$^\prime$nikov, Theory of bifurcations, vol. 5, Encyclopaedia of Mathematical Sciences (V. I. Arn$^\prime$old, ed.), Springer-Verlag, Berlin and New York, 1994.
  • V. I. Arnol′d, Geometrical methods in the theory of ordinary differential equations, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 250, Springer-Verlag, New York-Berlin, 1983. Translated from the Russian by Joseph Szücs; Translation edited by Mark Levi. MR 695786
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  • J. E. Marsden and M. McCracken, The Hopf bifurcation and its applications, Springer-Verlag, New York, 1976. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt and S. Smale; Applied Mathematical Sciences, Vol. 19. MR 0494309
  • H. Poincaré, Mémoire sur les courbes definies par les équations differentielles I-IV, Oeuvre I, Gauthier-Villar, Paris, 1928.
  • L. P. Šil′nikov, A case of the existence of a denumerable set of periodic motions, Dokl. Akad. Nauk SSSR 160 (1965), 558–561 (Russian). MR 0173047
  • S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747–817. MR 228014, DOI https://doi.org/10.1090/S0002-9904-1967-11798-1
  • Floris Takens, Forced oscillations and bifurcations, Applications of global analysis, I (Sympos., Utrecht State Univ., Utrecht, 1973) Math. Inst. Rijksuniv. Utrecht, Utrecht, 1974, pp. 1–59. Comm. Math. Inst. Rijksuniv. Utrecht, No. 3-1974. MR 0478235
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Review Information:

Reviewer: David K. Arrowsmith
Affiliation: Queen Mary & Westfield College University of London
Email: D.K.Arrowsmith@qmw.ac.uk
Journal: Bull. Amer. Math. Soc. 33 (1996), 377-380
DOI: https://doi.org/10.1090/S0273-0979-96-00665-9
Review copyright: © Copyright 1996 American Mathematical Society