LEADER 03357nam 2200673Ia 450 001 9910811910503321 005 20230721031947.0 010 $a1-383-03499-0 010 $a1-281-16088-1 010 $a9786611160883 010 $a0-19-152640-1 010 $a1-4356-1803-3 035 $a(CKB)1000000000482307 035 $a(EBL)415594 035 $a(OCoLC)437093947 035 $a(SSID)ssj0000211932 035 $a(PQKBManifestationID)11194494 035 $a(PQKBTitleCode)TC0000211932 035 $a(PQKBWorkID)10136043 035 $a(PQKB)11499100 035 $a(Au-PeEL)EBL415594 035 $a(CaPaEBR)ebr10199719 035 $a(Au-PeEL)EBL4700591 035 $a(CaONFJC)MIL116088 035 $a(OCoLC)1024261248 035 $a(Au-PeEL)EBL7035889 035 $a(MiAaPQ)EBC415594 035 $a(EXLCZ)991000000000482307 100 $a20070411d2007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNonlinear ordinary differential equations$b[electronic resource] $eproblems and solutions : a sourcebook for scientists and engineers /$fD.W. Jordan and P. Smith 210 $aOxford $cOxford University Press$d2007 215 $a1 online resource (594 p.) 225 1 $aOxford Texts in Applied and Engineering Mathematics ;$vv.No. 11 300 $aDescription based upon print version of record. 311 $a0-19-921203-1 320 $aIncludes bibliographical references. 327 $aContents; 1 Second-order differential equations in the phase plane; 2 Plane autonomous systems and linearization; 3 Geometrical aspects of plane autonomous systems; 4 Periodic solutions; averaging methods; 5 Perturbation methods; 6 Singular perturbation methods; 7 Forced oscillations: harmonic and subharmonic response, stability, and entrainment; 8 Stability; 9 Stabilty by solution perturbation: Mathieu's equation; 10 Liapunov methods for determining stability of the zero solution; 11 The existence of periodic solutions; 12 Bifurcations and manifolds 327 $a13 Poincare? sequences, homoclinic bifurcation, and chaosReferences 330 $aAn ideal companion to the student textbook Nonlinear Ordinary Differential Equations 4th Edition (OUP, 2007) this text contains over 500 problems and solutions in nonlinear differential equations, many of which can be adapted for independent coursework and self-study. - ;An ideal companion to the new 4th Edition of Nonlinear Ordinary Differential Equations by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fully-worked solutions in nonlinear differential equations. With 272 figures and diagrams, subjects covered include phase diagrams in the plane, classification of equi 410 0$aOxford Texts in Applied and Engineering Mathematics 606 $aDifferential equations, Nonlinear$vProblems, exercises, etc 606 $aNonlinear theories 615 0$aDifferential equations, Nonlinear 615 0$aNonlinear theories. 676 $a515.352 700 $aJordan$b D. W$g(Dominic William)$022976 701 $aSmith$b Peter$f1935-$0727174 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910811910503321 996 $aNonlinear ordinary differential equations$91422409 997 $aUNINA