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Nonlinear Ordinary Differential Equations An Introduction for Scientists and Engineers

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ISBN-10: 0199208255

ISBN-13: 9780199208258

Edition: 4th 2007 (Revised)

Authors: Dominic Jordan, Peter Smith, Dominic Jordan

List price: $49.99
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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 of the 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…    
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Book details

List price: $49.99
Edition: 4th
Copyright year: 2007
Publisher: Oxford University Press, Incorporated
Publication date: 10/11/2007
Binding: Paperback
Pages: 560
Size: 6.73" wide x 9.69" long x 1.18" tall
Weight: 2.266
Language: English

Pete Smith is a Technical Architect and data warehouse specialist with a wide range of expertise from application analysis, design and development through to database design, administration and tuning. This experience covers 19 years in the IT industry, 14 of which are specifically on Oracle platforms and demonstrates a high degree of longevity and familiarity with the Oracle database server and associated products. Qualified to degree level, Pete has worked for many years as an independent Oracle consultant and, more recently, in a senior position as a Principal consultant with Oracle UK; Pete now works for a specialist UK IT consultancy.

Preface
Second-order differential equations in the phase plane
Plane autonomous systems and linearization
Geometrical aspects of plane autonomous systems
Periodic solutions; averaging methods
Perturbation methods
Singular perturbation methods
Forced oscillations: harmonic and subharmonic response, stability, and entrainment
Stability
Stability by solution perturbation: Mathieu's equation
Liapurnov methods for determining stability of the zero solution
The existence of periodic solutions
Bifurcations and manifolds
Poincar� sequences, homoclinic bifurcation, and chaos
Answers to the exercises
Appendices
Existence and uniqueness theorems
Topographic systems
Norms for vectors and matrices
A contour integral
Useful identities
References and further reading
Index