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).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media New York
About this chapter
Cite this chapter
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
Download citation
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