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Nonlinear Ordinary Differential Equations An Introduction to Dynamical Systems

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ISBN-10: 0198565623

ISBN-13: 9780198565628

Edition: 3rd 1999 (Revised)

Authors: D. W. Jordan, Peter Smith

List price: $64.95
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Nonlinear ordinary differential equations was first published in 1977 and has since become a standard text in the teaching of the subject. It takes a qualitative approach, and is designed for advanced undergraduate and graduate students of dynamical systems in mathematics or mathematics-related subjects. The text of this third edition has been completely revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos. The book is directed towards practical applications of the theory, with several hundred examples and problems covering a wide variety of applications. Prerequisites are kept to a minimum, with appendices containing the…    
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Book details

List price: $64.95
Edition: 3rd
Copyright year: 1999
Publisher: Oxford University Press, Incorporated
Publication date: 10/21/1999
Binding: Paperback
Pages: 560
Size: 6.14" wide x 9.21" long x 1.22" tall
Weight: 1.760
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.

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
Determination of stability by solution perturbation
Liapunov methods for determining stability of the zero solution
The existence of periodic solutions
Bifurcations and manifolds
Poincare sequences, homoclinic bifurcation, and chaos
Hints and answers to the problems
Existence and uniqueness theorems
Topographic systems
Norms for vectors and matrices
A contour integral
References and further reading
Index