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Differential Equations

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Chaos

Part of the book series: Textbooks in Mathematical Sciences ((TIMS))

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Abstract

IN THE FIRST six chapters, we modeled physical processes with maps. One of the most important uses of maps in scientific applications is to assist in the study of a differential equation model. We found in Chapter 2 that the time-T map of a differential equation may capture the interesting dynamics of the process while affording substantial simplification from the original differential equation.

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© 1997 Springer Science+Business Media New York

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Alligood, K.T., Sauer, T.D., Yorke, J.A. (1997). Differential Equations. In: Chaos. Textbooks in Mathematical Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59281-2_7

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  • DOI: https://doi.org/10.1007/978-3-642-59281-2_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78036-6

  • Online ISBN: 978-3-642-59281-2

  • eBook Packages: Springer Book Archive

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