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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Authors: John Guckenheimer and Philip Holmes
Title: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
Additional book information: Applied Mathematical Sciences, Vol. 42, Springer-Verlag, New York, 1983, xvi + 453 pp., $32.00. ISBN 0-3879-0819-6.

Author: M. C. Irwin
Title: Smooth dynamical systems
Additional book information: Academic Press Inc., London, 1980, x + 260 pp., $48.50. ISBN 0-1237-4450-4.

Authors: Jacob Palis Jr. and Welington de Melo
Title: Geometric theory of dynamical systems, an introduction
Additional book information: Springer-Verlag, New York, 1982, xii + 198 pp., $ 28.00. ISBN 0-3879-0668-1.

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

  • John Guckenheimer and R. F. Williams, Structural stability of Lorenz attractors, Inst. Hautes Études Sci. Publ. Math. 50 (1979), 59–72. MR 556582
  • [L] E. N. Lorenz, Deterministic non-peiodic flow, J. Atmospheric Sci. 20 (1963), 130-141.
  • Colin Sparrow, The Lorenz equations: bifurcations, chaos, and strange attractors, Applied Mathematical Sciences, vol. 41, Springer-Verlag, New York-Berlin, 1982. MR 681294
  • R. F. Williams, The structure of Lorenz attractors, Inst. Hautes Études Sci. Publ. Math. 50 (1979), 73–99. MR 556583

Review Information:

Reviewer: John Franks
Journal: Bull. Amer. Math. Soc. 10 (1984), 135-139
American Mathematical Society