05104nam 2200673Ia 450 991081732690332120240402135911.01-281-95165-X9786611951658981-281-012-9(CKB)1000000000538033(EBL)1679293(OCoLC)815754703(SSID)ssj0000247133(PQKBManifestationID)11173972(PQKBTitleCode)TC0000247133(PQKBWorkID)10195344(PQKB)10851844(MiAaPQ)EBC1679293(WSP)00004681(Au-PeEL)EBL1679293(CaPaEBR)ebr10255415(CaONFJC)MIL195165(EXLCZ)99100000000053803320011029d2001 uy 0engur|n|---|||||txtccrSmooth dynamical systems /M.C. Irwin1st ed.Singapore ;River Edge, N.J. World Scientificc20011 online resource (273 p.)Advanced series in nonlinear dynamics ;v. 17Description based upon print version of record.981-02-4599-8 Includes bibliographical references (p. 246-252) and index.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. OrbitsIII. 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 equivalenceIV. 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 fieldsII. 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 theoremIII. Hartman's theorem for flows 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>Advanced series in nonlinear dynamics ;v. 17.Differentiable dynamical systemsDifferential equationsDifferentiable dynamical systems.Differential equations.515/.352Irwin M. C(Michael Charles),1934-66403MiAaPQMiAaPQMiAaPQBOOK9910817326903321Smooth dynamical systems377713UNINA