03357nam 2200673Ia 450 991081191050332120230721031947.01-383-03499-01-281-16088-197866111608830-19-152640-11-4356-1803-3(CKB)1000000000482307(EBL)415594(OCoLC)437093947(SSID)ssj0000211932(PQKBManifestationID)11194494(PQKBTitleCode)TC0000211932(PQKBWorkID)10136043(PQKB)11499100(Au-PeEL)EBL415594(CaPaEBR)ebr10199719(Au-PeEL)EBL4700591(CaONFJC)MIL116088(OCoLC)1024261248(Au-PeEL)EBL7035889(MiAaPQ)EBC415594(EXLCZ)99100000000048230720070411d2007 uy 0engur|n|---|||||txtccrNonlinear ordinary differential equations[electronic resource] problems and solutions : a sourcebook for scientists and engineers /D.W. Jordan and P. SmithOxford Oxford University Press20071 online resource (594 p.)Oxford Texts in Applied and Engineering Mathematics ;v.No. 11Description based upon print version of record.0-19-921203-1 Includes bibliographical references.Contents; 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 manifolds13 Poincaré sequences, homoclinic bifurcation, and chaosReferencesAn 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 equiOxford Texts in Applied and Engineering MathematicsDifferential equations, NonlinearProblems, exercises, etcNonlinear theoriesDifferential equations, NonlinearNonlinear theories.515.352Jordan D. W(Dominic William)22976Smith Peter1935-727174MiAaPQMiAaPQMiAaPQBOOK9910811910503321Nonlinear ordinary differential equations1422409UNINA