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