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Stability Theory

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In this chapter we study the topic of stability for dynamical systems. There are number of different concepts and definitions of stability and these apply to various types of integral curves: fixed points, periodic solutions, etc., for dynamical systems (cf. [Ha 82], [Rob 95], [RM 80], [AM 78], [Co 65], [Bel 53], [Mer 97]). This chapter provides an introduction to the subject, giving first a few results about stability of fixed points and then a brief discussion of stability of periodic solutions (also called cycles or closed integral curves).

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© 2001 Springer Science+Business Media New York

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Betounes, D. (2001). Stability Theory. In: Differential Equations: Theory and Applications. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4971-7_7

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  • DOI: https://doi.org/10.1007/978-1-4757-4971-7_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-4973-1

  • Online ISBN: 978-1-4757-4971-7

  • eBook Packages: Springer Book Archive

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