TY  - BOOK
AU  - Wiggins,Stephen
TI  - Introduction to applied nonlinear dynamical systems and chaos
T2  - Texts in applied mathematics
SN  - 9781441918079
PY  - 2010///
CY  - New York
PB  - Springer
KW  - Differentiable dynamical systems
KW  - Nonlinear theories
KW  - Chaotic behavior in systems
KW  - Sistemas, Teoria de
KW  - Teorías no lineales
KW  - Comportamiento caótico en sistemas
KW  - Sistemas dinámicos
KW  - Sistemas dinámicos diferenciables
N1  - Previous ed.: New York: Springer-Verlag, 1990; Includes bibliographical references and index; 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 Equations * Hamiltonian Vector Fields * Gradient Vector Fields * Reversible Dynamical Systems * Asymptotically Autonomous Vector Fields * Center Manifolds * Normal Forms * Bifurcation of Fixed Points of Vector Fields * Bifurcations of Fixed Points of Maps * On the Interpretation and Application of Bifurcation Diagrams: A Word of Caution * The Smale Horseshoe * Symbolic Dynamics * The Conley-Moser Conditions or "How to Prove That a Dynamical System is Chaotic" * Dynamics Near Homoclinic Points of Two-Dimensional Maps * Orbits Homoclinic to Hyperbolic Fixed Points in Three-Dimensional Autonomous Vector Fields * Melnikov's Method for Homoclinic Orbits in Two-Dimensional, Time-Periodic Vector Fields * Liapunov Exponents * Chaos and Strange Attractors * Hyperbolic Invariant Sets: A Chaotic Saddle * Long Period Sinks in Dissipative Systems and Elliptic Islands in Conservative Systems * Global Bifurcations Arising from Local Codimension-Two Bifurcations * Glossary of Frequently Used Terms
ER  -