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101 0 $aeng
135 $aur|n|---|||||
181 $ctxt
182 $cc
183 $acr
200 10$aSmooth dynamical systems$b[electronic resource] /$fM.C. Irwin
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
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