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Linearizing Nonlinear Differential Equations Near a Fixed Point

Linearizing Nonlinear Differential Equations Near a Fixed Point

Steve Brunton via YouTube Direct link

Fixed points of nonlinear systems

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Fixed points of nonlinear systems

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Linearizing Nonlinear Differential Equations Near a Fixed Point

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  1. 1 Overview
  2. 2 Fixed points of nonlinear systems
  3. 3 Zooming in to small neighborhood of fixed point
  4. 4 Solving for linearization with Taylor series
  5. 5 Computing Jacobian matrix of partial derivatives
  6. 6 Example of linearizing nonlinear system

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