LEADER 05104nam 2200673Ia 450 001 9910817326903321 005 20240402135911.0 010 $a1-281-95165-X 010 $a9786611951658 010 $a981-281-012-9 035 $a(CKB)1000000000538033 035 $a(EBL)1679293 035 $a(OCoLC)815754703 035 $a(SSID)ssj0000247133 035 $a(PQKBManifestationID)11173972 035 $a(PQKBTitleCode)TC0000247133 035 $a(PQKBWorkID)10195344 035 $a(PQKB)10851844 035 $a(MiAaPQ)EBC1679293 035 $a(WSP)00004681 035 $a(Au-PeEL)EBL1679293 035 $a(CaPaEBR)ebr10255415 035 $a(CaONFJC)MIL195165 035 $a(EXLCZ)991000000000538033 100 $a20011029d2001 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSmooth dynamical systems /$fM.C. Irwin 205 $a1st ed. 210 $aSingapore ;$aRiver Edge, N.J. $cWorld Scientific$dc2001 215 $a1 online resource (273 p.) 225 1 $aAdvanced series in nonlinear dynamics ;$vv. 17 300 $aDescription based upon print version of record. 311 $a981-02-4599-8 320 $aIncludes bibliographical references (p. 246-252) and index. 327 $aContents ; 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 327 $aIII. 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 327 $aIV. 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 327 $aII. 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"" 327 $aII. 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 327 $aIII. Hartman's theorem for flows 330 $a This is a reprint of M C Irwin's beautiful book, first published in 1980. The material covered continues to provide the basis for current research in the mathematics of dynamical systems. The book is essential reading for all who want to master this area. Request Inspection Copy
Contents:
Readership: Graduate students in mathematics.
410 0$aAdvanced series in nonlinear dynamics ;$vv. 17. 606 $aDifferentiable dynamical systems 606 $aDifferential equations 615 0$aDifferentiable dynamical systems. 615 0$aDifferential equations. 676 $a515/.352 700 $aIrwin$b M. C$g(Michael Charles),$f1934-$066403 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817326903321 996 $aSmooth dynamical systems$9377713 997 $aUNINA