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Full Product Details

Author:   D.W. Jordan ,  P. Smith
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Edition:   3rd Revised edition
Dimensions:   Width: 15.60cm , Height: 3.30cm , Length: 23.40cm
Weight:   0.930kg
ISBN:  

9780198565635

ISBN 10:   0198565631
Pages:   560
Publication Date:   05 August 1999
Audience:   College/higher education ,  Tertiary & Higher Education
Replaced By:   9780199208241
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   In Print  
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

Table of Contents

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 and entrainment; 8. Stability; 9. Determination of stability by solution perturbation; 10. Liapunov methods for determining stability of the zero solution; 11. The existence of periodic solutions; 12. Bifurcations and manifolds; 13. Poincare series, homoclinic bifurcations and chaos; HINTS AND ANSWERS TO THE PROBLEMS; Appendix A. Existence and uniqueness theorems; Appendix B. Topographic systems; Appendix C. Norms for vectors and matrices; Appendix D. A contour integral; References and further reading; Index

Reviews

<br>On the second edition: The subject has wide applications in physical, biological, and social sciences which continuously supply new problems of practical and theoretical importance. The book does a good job in motivating the reader in such pursuits, and presents the subject in a simple but elegant style. --P. K. Kythe in Applied Mechanics Reviews<br>On the first edition: The book can profitably be used in a senior undergraduate course. It is well written, well motivated and contains some recent developments of interest which have not been readily accessible before at this level. --V. Lakshmikantham in Mathematical Reviews<br>

On the second edition: The subject has wide applications in physical, biological, and social sciences which continuously supply new problems of practical and theoretical importance. The book does a good job in motivating the reader in such pursuits, and presents the subject in a simple but elegant style. --P. K. Kythe in Applied Mechanics Reviews<br> On the first edition: The book can profitably be used in a senior undergraduate course. It is well written, well motivated and contains some recent developments of interest which have not been readily accessible before at this level. --V. Lakshmikantham in Mathematical Reviews<br>

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