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Analysis and Simulation of Chaotic Systems pp 236–287Cite as

Quasistatic-State Methods

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Part of the book series: Applied Mathematical Sciences ((AMS,volume 94))

Abstract

The appearance of several time scales in a problem can mean that various components of the system equilibrate at different rates. Rapidly responding components can try to reach some equilibrium, while the other components change hardly at all. It is not surprising that such perturbation problems can be studied using stability methods, because both deal with how solutions approach equilibria. These problems differ from those in Chapter 7 where oscillations occurred on a fast time scale relative to other changes. In this chapter, we study problems that try to equilibrate on a fast time scale while other components in the system change more slowly.

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Authors and Affiliations

  1. College of Natural Sciences, Michigan State University, 48824-1115, East Lansing, MI, USA

    Frank C. Hoppensteadt

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  1. Frank C. Hoppensteadt
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© 1993 Springer Science+Business Media New York

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Hoppensteadt, F.C. (1993). Quasistatic-State Methods. In: Analysis and Simulation of Chaotic Systems. Applied Mathematical Sciences, vol 94. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2275-8_8

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  • DOI: https://doi.org/10.1007/978-1-4757-2275-8_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-2277-2

  • Online ISBN: 978-1-4757-2275-8

  • eBook Packages: Springer Book Archive

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