Smooth dynamical systems [[electronic resource] /] / M.C. Irwin

• Autore: Irwin M. C (Michael Charles), <1934->
• Pubblicazione: Singapore ; ; River Edge, N.J., : World Scientific, c2001
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (273 p.)
• Disciplina: 515/.352
• Soggetto topico: Differentiable dynamical systems; Differential equations
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 246-252) and index.
• Nota di contenuto: Contents ; Foreword ; Preface ; Introduction ; I. The simple pendulum ; II. A dissipative system ; III. The spherical pendulum ; IV. Vector fields and dynamical systems ; Chapter 1. Some Simple Examples ; I. Flows and homeomorphisms ; II. Orbits ; III. Examples of dynamical systems IV. Constructing systems ; V. Properties of orbits ; Appendix 1 ; I. Group actions ; Chapter 2. Equivalent Systems ; I. Topological conjugacy ; II. Homeomorphisms of the circle ; III. Flow equivalence and topological equivalence ; IV. Local equivalence V. Limit sets of flows ; VI. Limit sets of homeomorphisms ; VII. Non-wandering sets ; Appendix 2 ; I. Two topological lemmas ; II. Oriented orbits in Hausdorff spaces ; III. Compactification ; Chapter 3. Integration of Vector Fields ; I. Vector fields ; II. Velocity vector fields and integral flows III. Ordinary differential equations ; IV. Local integrals ; V. Global integrals ; Appendix 3 ; I. Integrals of perturbed vector fields ; II. First integrals ; Chapter 4. Linear Systems ; I. Linear flows on R"" ; II. Linear automorphisms of R"" III. The spectrum of a linear endomorphism ; IV. Hyperbolic linear automorphisms ; V. Hyperbolic linear vector fields ; Appendix 4 ; I. Spectral Theory ; Chapter 5. Linearization ; I. Regular points ; II. Hartman's theorem ; III. Hartman's theorem for flows
• Sommario/riassunto: This is a reprint of M C Irwin's beautiful book, first published in 1980. The material covered continues to provide the basis for current research in the mathematics of dynamical systems. The book is essential reading for all who want to master this area. Request Inspection Copy <br><i>Contents: </i><ul><li>Some Simple Examples</li><li>Equivalent Systems</li><li>Integration of Vector Fields</li><li>Linear Systems, Linearization, Stable Manifolds</li><li>Stable Systems</li><li>Appendices</li></ul><br><i>Readership: </i>Graduate students in mathematics.<br>
• Titolo autorizzato: Smooth dynamical systems
• ISBN: 1-281-95165-X; 9786611951658; 981-281-012-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910817326903321
• Lo trovi qui: Univ. Federico II
• Serie: Advanced series in nonlinear dynamics ; ; v. 17.