Nonlinear Ordinary Differential Equations: Problems and Solutions: A Sourcebook For Scientists And Engineers by Dominic Jordan

Nonlinear Ordinary Differential Equations: Problems and Solutions: A Sourcebook For Scientists And…

byDominic Jordan, Peter Smith

Paperback | September 5, 2007

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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 inthe plane, classification of equilibrium points, geometry of the phase plane, perturbation methods, forced oscillations, stability, Mathieu's equation, Liapunov methods, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's method. The problems are of variable difficulty; some are routine questions, others are longer and expand on concepts discussed in Nonlinear Ordinary Differential Equations 4th Edition, and in most cases can be adapted for coursework or self-study. Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.

About The Author

Dominic Jordan and Peter Smith are both with the University of Keele.

Details & Specs

Title:Nonlinear Ordinary Differential Equations: Problems and Solutions: A Sourcebook For Scientists And…Format:PaperbackDimensions:450 pages, 9.69 × 6.73 × 1.33 inPublished:September 5, 2007Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199212031

ISBN - 13:9780199212033

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Table of Contents

Preface1. Second-order differential equations in the phase plane2. Plane autonomous systems and linearization3. Geometrical aspects of plane autonomous systems4. Periodic solutions; averaging methods5. Perturbation methods6. Singular perturbation methods7. Forced oscillations: harmonic and subharmonic response, stability, entrainment8. Stability9. Stability by solution perturbation: Mathieu's equation10. Liapunov methods for determining stability of the zero equation11. The existence of periodic solutions12. Bifurcations and manifolds13. Poincare sequences, homoclinic bifurcation, and chaos