Quasistatic-State Methods

  • Frank C. Hoppensteadt
Part of the Applied Mathematical Sciences book series (AMS, volume 94)


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.


Singular Perturbation Singular Perturbation Problem Initial Transient Fast Time Scale Matched Asymptotic Expansion 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Frank C. Hoppensteadt
    • 1
  1. 1.College of Natural SciencesMichigan State UniversityEast LansingUSA

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