Abstract
In bifurcation theory one usually considers systems with parameters whose values are independent of time. However, in applications, situations are often encountered where the parameters slowly evolve over time. In this situation new phenomena may arise. For example, a stable equilibrium may, as a parameter changes, disappear or become unstable; and then the state of the system must change rapidly (compared with the rate of change of the parameter) to a new state of motion (an attractor).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Arnol’d, V.I. (1994). Relaxation Oscillations. In: Arnol’d, V.I. (eds) Dynamical Systems V. Encyclopaedia of Mathematical Sciences, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57884-7_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-57884-7_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65379-0
Online ISBN: 978-3-642-57884-7
eBook Packages: Springer Book Archive