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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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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