Exploring 412 08 The Saddle Node Bifurcation

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  • Describes the
  • This surface represent the equilibria in a 2-parameter family of 1-d systems modeled by the previous spring-disc system.
  • Welcome to a new section of Nonlinear Dynamics:
  • For the given ODE equation, dx/dt=r-x^2, we observe changes in the fixed point as the parameter r varies.
  • At the point h=50, a

In-Depth Information on 412 08 The Saddle Node Bifurcation

This video covers Chapter 3.2 of the Lecture Notes for the Graduate Class 'Methods of Nonlinear Analysis'. The notes are ... We then introduce the normal form of the A dx/dt = r - x^2 dy/dt = -y.

Bifurcations in 2D, extending the saddle-node, transcritical, and

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