Bulletin of the American Mathematical Society

MathSciNet review: 1567762
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Book Information:

Author: Stephen Wiggins
Title: Global bifurcation and chaos: analytical methods
Additional book information: Applied Mathematical Sciences, vol. 73, Springer-Verlag, New York, Berlin and Heidelberg, 1988, xiv + 494 pp., $49.95. ISBN 0-387-96775-3.

J. E. Marsden and M. McCracken, The Hopf bifurcation and its applications, Applied Mathematical Sciences, Vol. 19, 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. MR 0494309

John Guckenheimer and Philip Holmes, Nonlinear oscillations, dynamical systems, and bifurcations of vector fields, Applied Mathematical Sciences, vol. 42, Springer-Verlag, New York, 1983. MR 709768, DOI 10.1007/978-1-4612-1140-2

Stephen Smale, Diffeomorphisms with many periodic points, Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse), Princeton Univ. Press, Princeton, N.J., 1965, pp. 63–80. MR 0182020

John Guckenheimer and R. F. Williams, Structural stability of Lorenz attractors, Inst. Hautes Études Sci. Publ. Math. 50 (1979), 59–72. MR 556582

[G] J. Guckenheimer, A strange strange attractor, The Hopf Bifurcation and its Analysis, (J. E. Marsden and M. McCracken, eds.), Springer-Verlag, Berlin and New York, 1976, pp. 368-381. MR 0494309




[GH] J. Guckenheimer and P. Holmes, Nonlinear oscillations, dynamical systems, and bifurcations of vector fields, Springer-Verlag, Berlin and New York, 1983. MR 709768




[S] S. Smale, Diffeomorphisms with many periodic points, Differential and Combinatorial Topology (S. S. Cairns, ed.), Princeton Univ. Press, Princeton, N.J., 1963, pp. 63-80. MR 182020




[W] R. F. Williams, Structural stability of Lorenz attractors, Inst. Hautes Études Sci. Publ. Math. 50 (1979), 73-99. MR 556583