Media Summary: Along a certain slice of the 2-parameter unfolding of a supercritical pitchfork So, past the supercritical pitchfork, what determines which way the system buckles? Chance. The smallest When you have a more complicated 1-D continuous-time system, you can plot the equilibria versus the parameter and look for ...
Appdynsys Bifurcation Examples Switch - Detailed Analysis & Overview
Along a certain slice of the 2-parameter unfolding of a supercritical pitchfork So, past the supercritical pitchfork, what determines which way the system buckles? Chance. The smallest When you have a more complicated 1-D continuous-time system, you can plot the equilibria versus the parameter and look for ... This surface represent the equilibria in a 2-parameter family of 1-d systems modeled by the previous spring-disc system. The pitchfork bifiurcation has an "evil twin" -- the subcritical pitchfork happens when an unstable equilibrium splits into a symmetric ... 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
