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Drawing Phase Portraits for Nonlinear Systems

Drawing Phase Portraits for Nonlinear Systems

Steve Brunton via YouTube Direct link

Finding fixed points of system

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Finding fixed points of system

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Drawing Phase Portraits for Nonlinear Systems

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  1. 1 Overview and deriving equations from F=ma
  2. 2 Finding fixed points of system
  3. 3 Linearizing near fixed points
  4. 4 First fixed point: A linear center
  5. 5 Second fixed point: An unstable saddle
  6. 6 Drawing full global phase portrait
  7. 7 Adding friction and drawing phase portrait

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