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Autor Wiggins, Stephen

Título Introduction to applied nonlinear dynamical systems and chaos / Stephen Wiggins

Publicación New York [etc.] : Springer, cop. 2010
Ubicación Signatura Tipo de préstamo Estado Notas
 Ciencias.Física/Química-Física Teórica  FT 31.5-WIG    CONSULTAR DEPT  DISPONIBLE
Edición 2nd ed.
Descripción física XIX, 843 p. ; 24 cm
Colección Texts in Applied Mathematics ; 2
Texts in Applied Mathematics (Springer) ; 2
Bibliografía p. 809-835. -- Índices p. 836-843
Contiene: 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 Poincaré-Bendixson Theorem -- Poincaré 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
Materia Teorias no lineales
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ISBN 9781441918079