Intent Snapshot: When you have a more complicated 1-D continuous-time system, you can plot the equilibria versus the parameter and look for ... The pitchfork bifiurcation has an "evil twin" -- the subcritical pitchfork happens when an unstable equilibrium splits into a symmetric ...
Appdynsys Bifurcation Examples Zee Macheen - Common Reasons
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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 ...
Context Search Overview
When you have a more complicated 1-D continuous-time system, you can plot the equilibria versus the parameter and look for ... The logistic equation is a 1-d discrete time system x(n+1) = r x(n) (1-x(n)) with parameter r. Along a certain slice of the 2-parameter unfolding of a supercritical pitchfork
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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?
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Quick reference points
- Along a certain slice of the 2-parameter unfolding of a supercritical pitchfork
- 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 ...
- When you have a more complicated 1-D continuous-time system, you can plot the equilibria versus the parameter and look for ...
- The logistic equation is a 1-d discrete time system x(n+1) = r x(n) (1-x(n)) with parameter r.
- So, past the supercritical pitchfork, what determines which way the system buckles?
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