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Abstract

Let me first give a little mathematical background. This is conveniently divided into two parts. The first is the theory of ordinary differential equations having a finite number of periodic solutions; and the second has to do with the case of infinitely many solutions, or, roughly speaking, with “homoclinic behavior.”

Partly based on a talk given at a Berkeley seminar circa 1976. Reprinted with permission from The Mathematics of Time: Essays on Dynamical Systems, Economic Processes and Related Topics, S. Smale, Springer-Verlag, New York, 1980.

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© 1993 Springer-Verlag New York, Inc.

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Smale, S. (1993). On How I Got Started In Dynamical Systems, 1959–1962. In: Hirsch, M.W., Marsden, J.E., Shub, M. (eds) From Topology to Computation: Proceedings of the Smalefest. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2740-3_2

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  • DOI: https://doi.org/10.1007/978-1-4612-2740-3_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7648-7

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