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What is Bifurcation Theory Overview about?
Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of systems like vector fields and differential equations. A bifurcation occurs when small changes to parameter values cause sudden changes in behavior. There are two main types of bifurcations: local bifurcations which affect stability of equilibria, and global bifurcations which involve larger invariant sets colliding. Examples of local bifurcations include saddle-node, transcritical, and Hopf bifurcations.
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- Private27
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- EN