MARC Record from harvard_bibliographic_metadata

LEADER: 02999cam a2200421 i 4500
001 013818983-8
005 20140326083742.0
008 140224s2013 fr a b 001 0 eng c
016 7 $a016509038$2Uk
020 $a9789462390201
020 $a9462390207
020 $z9789462390218 (eBook)
035 0 $aocn870969598
040 $aDXU$beng$erda$cDXU$dBTCTA$dUKMGB$dYDXCP$dCDX$dOCLCO$dIUL
042 $apcc
050 14 $aQA372$b.S544 2013
050 4 $aQA371$b.S53 2013
082 04 $a515.4$b23
100 1 $aSideris, Thomas C.,$eauthor.
245 10 $aOrdinary differential equations and dynamical systems /$cThomas C. Sideris.
264 1 $aParis :$bAtlantis Press,$c2013.
300 $axi, 225 pages :$billustrations ;$c24 cm
336 $atext$2rdacontent
337 $aunmediated$2rdamedia
338 $avolume$2rdacarrier
490 1 $aAtlantis Studies in Differential Equations,$x2214-6253 ;$v2
504 $aIncludes bibliographical references (page 221) and index.
505 0 $aIntroduction -- Linear systems -- Existence theory -- Nonautomous linear systems -- Results from functional analysis -- Dependence on initial conditions and parameters -- Linearization and invariant manifolds -- Periodic solutions -- Center manifolds and bifurcation theory -- The Birkhoff Smale Homoclinic Theorem -- Appendix: Results from real analysis.
520 $aThis book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basic theory: linear systems, existence and uniqueness of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigm for evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and the existence of transverse homoclinic points and their link to chaotic dynamics. A common thread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as the bridge between the two halves of the book.
650 0 $aMathematics.
650 0 $aDifferential equations.
650 7 $aMathematics.$2ukslc
775 08 $iOnline version:$aSideris, Thomas C.$tOrdinary differential equations and dynamical systems.$dParis : Atlantis Press, 2013$z9789462390218$w(OCoLC)862577939
830 0 $aAtlantis Studies in Differential Equations ;$v2.
899 $a415_565982
988 $a20131102
049 $aHLSS
906 $0OCLC