Main Takeaway: 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 ...
Appdynsys Bifurcation Examples Switch -
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 ... This surface represent the equilibria in a 2-parameter family of 1-d systems modeled by the previous spring-disc system.
Important details found
- 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 ...
- This surface represent the equilibria in a 2-parameter family of 1-d systems modeled by the previous spring-disc system.
- 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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