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.
Keywords
- Hopf Bifurcation
- Autonomous System
- Center Manifold
- Saddle Node Bifurcation
- Pitchfork Bifurcation
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© 2007 Springer-Verlag Berlin Heidelberg
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(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
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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
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