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Introduction to Applied Nonlinear Dynamical Systems and Chaos / Stephen Wiggins

By: Wiggins, Stephen.
Series: Texts in applied mathematics 2.New York : Springer, 2003 Edition: 2a. ed.Description: xix, 843 p. : ilustrado ; 23 cm.ISBN: 0-387-00177-8.Subject(s): Diferentiable dynamical systems | Nonlinear theories | Chaotic behavior in systems | Sistemas dinámicos diferencial | Sistemas no lineales | Comportamiento caótico en sistemaDDC classification: 003.85 / W655i
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List(s) this item appears in: Maestría Complejidad
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PARA DOMIC 003.85 / W655i (Browse shelf) 8001 1 Available CO 8000021842
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Equilibrium Solutions, Stability, and Linearized Stability -- Liapunov Functions -- Invariant Manifolde :

Linear and Nonlinear Systems -- Periodic Orbits -- Vector Fields Possessing an Integral -- Index Theory --

Sonne General Propierties of Vector Fields : Existence, Uniqueness, Differentiability, and Flows -- Asymptotic

: Behavior -- The POincaré-Bendisson Theorem -- Poincaré Maps -- Conjugacies of Maps, and Varying the

Croos-Section -- Structural Stabillity, 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 Maps -- The Smale Horseshoe --

Symbolic Dynamics -- 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 and Elliptic Islands in

Conservative Systems -- Global Bifurcations Arising from Local Codimension-Two Bifurcations -- Glosary of

Frequently Used Terms -- Biblyography -- Index

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