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… 
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