AppDynSys : Bifurcation Diagrams : Local Analysis

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When you have a more complicated 1-D continuous-time system, you can plot the equilibria versus the parameter and look for interesting singularities. A simple Taylor expansion about these points will often reveal one of the elementary bifurcations. Here you can see a pair of transcriticals and a pair of subcritical pitchforks.
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do you recommend any study materials if anyone wants to better understand these short videos?

douglas