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Lecture 1 Stable, unstable, and center subspaces and examples.pdf
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Lecture 2 Hyperbolic vs non-hyperbolic fixed points and computing their invariant manifolds via Taylor series.pdf
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Lecture 3 Center manifold theory, computing center manifolds.pdf
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Lecture 4 Center manifolds depending on parameters and connections to bifurcations- Lorenz system.pdf
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Lecture 5 Center manifolds for Hamiltonian systems and PDEs.pdf
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Lecture 6 Center manifold theory for maps.pdf
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Lecture 7 Normal forms for vector fields near equilibria.pdf
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Lecture 8 Hopf bifurcation example - Normal forms for vector fields depending on parameters.pdf
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Lecture 9 Normal forms for maps near fixed points.pdf
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Lecture 10 Bifurcation theory- saddle-node, transcritical, pitchfork, Hopf.pdf