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The Geometrical Point of View of Dynamical Systems: Background Material, Poincaré Maps, and Examples

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Introduction to Applied Nonlinear Dynamical Systems and Chaos

Part of the book series: Texts in Applied Mathematics ((TAM,volume 2))

Abstract

Our main goal in the study of dynamical systems is simple. Given a specific dynamical system, give a complete characterization of the geometry of the orbit structure. If the dynamical system depends on parameters, then characterize the change in the orbit structure as the parameters are varied.

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© 1990 Springer Science+Business Media New York

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Wiggins, S. (1990). The Geometrical Point of View of Dynamical Systems: Background Material, Poincaré Maps, and Examples. In: Introduction to Applied Nonlinear Dynamical Systems and Chaos. Texts in Applied Mathematics, vol 2. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4067-7_2

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  • DOI: https://doi.org/10.1007/978-1-4757-4067-7_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-4069-1

  • Online ISBN: 978-1-4757-4067-7

  • eBook Packages: Springer Book Archive

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