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Titlebook: Ordinary Differential Equations and Dynamical Systems; Thomas C. Sideris Book 2013 The Editor(s) (if applicable) and The Author(s), under

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Nonautonomous Linear Systems,Let be a continuous map from into the set of matrices over .
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Linearization and Invariant Manifolds,be . autonomous vector fields. Let ., be the associated flows.
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Periodic Solutions,We are going to consider time .-periodic perturbations of an autonomous vector field with an equilibrium.
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Center Manifolds and Bifurcation Theory,Let . be a . vector field with .. A center manifold for . at . is an invariant manifold containing . which is tangent to and of the same dimension as the center subspace of ..
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The Birkhoff Smale Homoclinic Theorem,The starting point is Newton’s equation
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