Nonlinear Ordinary Differential Equations: An Introduction For Scientists And Engineers

Paperback | August 24, 2007

byDominic Jordan, Peter Smith

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This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back ofthe book. Topics include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinic bifurcation and Liapunov exponents.Over 500 end-of-chapter problems are also included and as an additional resource fully-worked solutions to these are provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions, (OUP, 2007). 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.

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From the Publisher

This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back ofthe book. Topics include phase plane analy...

Prior to his retirement, Dominic Jordan was a professor in the Mathematics Department at Keele University. His research interests include applications of applied mathematics to elasticity, asymptotic theory, wave and diffusion problems, as well as research on the development of applied mathematics in its close association with late 1...

other books by Dominic Jordan

Format:PaperbackDimensions:560 pages, 9.69 × 6.73 × 1.18 inPublished:August 24, 2007Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199208255

ISBN - 13:9780199208258

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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, and entrainment8. Stability9. Stability by solution perturbation: Mathieu's equation10. Liapurnov methods for determining stability of the zero solution11. The existence of periodic solutions12. Bifurcations and manifolds13. Poincare; sequences, homoclinic bifurcation, and chaosAnswers to the exercisesAppendicesA. Existence and uniqueness theoremsB. Topographic systemsC. Norms for vectors and matricesD. A contour integralE. Useful identitiesReferences and further readingIndex

Editorial Reviews

`Review from previous edition "...classic book...The book succeeds as an exceptionally well written test fot its intended audience...No doubt one of its strongest features is over 500 problems...throughout the entire book only important physical processes are described... The new edition isgreatly enhanced...I strongly recommend that you take a look. The presentation is exquisitely straightforward with numerous physically interesting examples, and it is carefully and well written"'SIAM