Nonlinear Ordinary Differential Equations: Problems and Solutions: A Sourcebook for Scientists and Engineers...

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Dominic Jordan (University of Keele) Peter Smith (University of Keele)

Nonlinear Ordinary Differential Equations

Problems and Solutions: A Sourcebook for Scientists and Engineers

Dominic Jordan (University of Keele), Peter Smith (University of Keele)

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English

Oxford University Press
01 August 2007

Mathematics & Sciences; Differential calculus & equations; Maths for scientists; Maths for engineers

Series: Oxford Texts in Applied and Engineering Mathematics

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 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.

By: Dominic Jordan (University of Keele), Peter Smith (University of Keele)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Volume: No. 11
Dimensions: Height: 246mm, Width: 172mm, Spine: 34mm
Weight: 1g
ISBN: 9780199212033
ISBN 10: 0199212031
Series: Oxford Texts in Applied and Engineering Mathematics
Pages: 594
Publication Date: 01 August 2007
Audience: College/higher education , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Preface 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, entrainment 8: Stability 9: Stability by solution perturbation: Mathieu's equation 10: Liapunov methods for determining stability of the zero equation 11: The existence of periodic solutions 12: Bifurcations and manifolds 13: Poincaré sequences, homoclinic bifurcation, and chaos