Exploring Appdynsys Bifurcation Examples Cusp Unfolding

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  • The pitchfork bifiurcation has an "evil twin" -- the subcritical pitchfork happens when an unstable equilibrium splits into a symmetric ...
  • So, past the supercritical pitchfork, what determines which way the system buckles? Chance. The smallest change in the initial ...
  • In the same way that there are supercritical and subcritical pitchfork
  • The logistic equation is a 1-d discrete time system x(n+1) = r x(n) (1-x(n)) with parameter r. It is a famous

In-Depth Information on Appdynsys Bifurcation Examples Cusp Unfolding

This surface represent the equilibria in a 2-parameter family of 1-d systems modeled by the previous spring-disc system. One good physical Along a certain slice of the 2-parameter The pitchfork

When you have a more complicated 1-D continuous-time system, you can plot the equilibria versus the parameter and look for ...

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