Introduction to applied nonlinear dynamical systems and chaos / Stephen Wiggins.
Tipo de material: TextoSeries Texts in applied mathematics ; 2Detalles de publicación: New York : Springer, 2010. Edición: 2nd ed.Descripción: xix, 843 p. 24 cmISBN: 9781441918079Tema(s): Differentiable dynamical systems | Nonlinear theories | Chaotic behavior in systems | Sistemas, Teoria de | Teorías no lineales | Comportamiento caótico en sistemas | Sistemas dinámicos | Sistemas dinámicos diferenciablesTipo de ítem | Biblioteca de origen | Signatura | URL | Estado | Fecha de vencimiento | Código de barras | Reserva de ítems | Bibliografía recomendada |
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ECUACIONES DIFERENCIALES II GRADO EN MATEMÁTICAS Asignatura actualizada 2022-2023 |
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Monografías | 03. BIBLIOTECA INGENIERÍA PUERTO REAL | 530.1/WIN/int (Navegar estantería(Abre debajo)) | Texto completo | Prestado | 31/01/2025 | 3742086735 |
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
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