In this chapter we discuss typical local bifurcations in one and two dimensions. We restrict our attention to bifurcations of codimension 1, which require only one real parameter in order to generically occur. We include several cases of systems that possess an invariance under some simple symmetry.
KeywordsNormal Form Hopf Bifurcation Phase Portrait Bifurcation Diagram Pitchfork Bifurcation
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