Hyperbolic vs Non-Hyperbolic Fixed Points - Computing Their Invariant Manifolds via Taylor Series

Hyperbolic vs Non-Hyperbolic Fixed Points - Computing Their Invariant Manifolds via Taylor Series

Ross Dynamics Lab via YouTube Direct link

Fixed points of maps and their stable, unstable, and center subspaces

1 of 7

1 of 7

Fixed points of maps and their stable, unstable, and center subspaces

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Hyperbolic vs Non-Hyperbolic Fixed Points - Computing Their Invariant Manifolds via Taylor Series

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  1. 1 Fixed points of maps and their stable, unstable, and center subspaces
  2. 2 Subspaces (linear) vs. invariant manifolds (nonlinear)
  3. 3 Hyperbolic vs. non-hyperbolic fixed points
  4. 4 Diagram of hyperbolic vs. non-hyperbolic fixed points
  5. 5 Why look at center manifold theory?
  6. 6 2D example of calculating an invariant manifold analytically
  7. 7 Approximating invariant manifolds via Taylor series expansion

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