Introduction to Applied Nonlinear Dynamical Systems and Chaos
@inproceedings{Wiggins1989IntroductionTA, title={Introduction to Applied Nonlinear Dynamical Systems and Chaos}, author={Stephen Wiggins}, year={1989} }
Equilibrium Solutions, Stability, and Linearized Stability * Liapunov Functions * Invariant Manifolds: Linear and Nonlinear Systems * Periodic Orbits * Vector Fields Possessing an Integral * Index Theory * Some General Properties of Vector Fields: Existence, Uniqueness, Differentiability, and Flows * Asymptotic Behavior * The Poincare-Bendixson Theorem * Poincare Maps * Conjugacies of Maps, and Varying the Cross-Section * Structural Stability, Genericity, and Transversality * Lagrange's…
5,033 Citations
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