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Bifurcations of Asymptotically Autonomous Systems

Part of the Lecture Notes in Mathematics book series (LNM, volume 1907)

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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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

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