Page Snapshot: When you have a more complicated 1-D continuous-time system, you can plot the equilibria versus the parameter and look for ... So, past the supercritical pitchfork, what determines which way the system buckles?
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In the same way that there are supercritical and subcritical pitchfork The pitchfork bifiurcation has an "evil twin" -- the subcritical pitchfork happens when an unstable equilibrium splits into a symmetric ...
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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 ... This surface represent the equilibria in a 2-parameter family of 1-d systems modeled by the previous spring-disc system. So, past the supercritical pitchfork, what determines which way the system buckles?
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So, past the supercritical pitchfork, what determines which way the system buckles? 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
- 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
- When you have a more complicated 1-D continuous-time system, you can plot the equilibria versus the parameter and look for ...
- So, past the supercritical pitchfork, what determines which way the system buckles?
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