In the first section of this chapter, some basic properties of asymptotically autonomous systems are prepared for later use. In Section 7.2, one-dimensional bifurcations such as the pitchfork, transcritical and saddle node bifurcation are discussed. Section 7.3 is devoted to study the Hopf bifurcation scenario.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(2007). Bifurcations of Asymptotically Autonomous Systems. In: Attractivity and Bifurcation for Nonautonomous Dynamical Systems. Lecture Notes in Mathematics, vol 1907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71225-1_7
Download citation
DOI: https://doi.org/10.1007/978-3-540-71225-1_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71224-4
Online ISBN: 978-3-540-71225-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)