Stability Theory

David Betounes ()
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David Betounes: University of Southern Mississippi, Mathematics Department

Chapter Chapter 7 in Differential Equations: Theory and Applications, 2001, pp 275-322 from Springer

Abstract: Abstract 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).

Keywords: Vector Field; Periodic Solution; Phase Portrait; Stability Theory; Integral Curve (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-1-4757-4971-7_7

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