Nonlinear ordinary differential equations [[electronic resource] ] : problems and solutions : a sourcebook for scientists and engineers / / D.W. Jordan and P. Smith

• Autore: Jordan D. W (Dominic William)
• Pubblicazione: Oxford, : Oxford University Press, 2007
• Descrizione fisica: 1 online resource (594 p.)
• Disciplina: 515.352
• Soggetto topico: Differential equations, Nonlinear; Nonlinear theories
• Altri autori: SmithPeter <1935->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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 manifolds ; 13 Poincaré sequences, homoclinic bifurcation, and chaosReferences
• Sommario/riassunto: An 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
• Titolo autorizzato: Nonlinear ordinary differential equations
• ISBN: 1-383-03499-0; 1-281-16088-1; 9786611160883; 0-19-152640-1; 1-4356-1803-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910811910503321
• Lo trovi qui: Univ. Federico II
• Serie: Oxford Texts in Applied and Engineering Mathematics