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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.
  • A transcritical
  • So, past the supercritical pitchfork, what determines which way the system buckles? Chance. The smallest
  • Why is the "saddle-node
  • The pitchfork

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This is an illustration of the One good physical When you have a more complicated 1-D continuous-time system, you can plot the equilibria versus the parameter and look for ... Along a certain slice of the 2-parameter unfolding of a supercritical pitchfork

The (supercritical) Hopf

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