Nonlinear ordinary differential equations An Introduction for Scientists and Engineers 4th Edition by Dominic Jordan, Peter Smith 9781435613898 1435613899

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Product details:

ISBN 10: 1435613899

ISBN 13: 9781435613898

Author: Dominic W. Jordan, Peter Smith

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 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.

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. Stability by solution perturbation: Mathieu’s equation

10. Liapunov methods for determining stability of the zero solution

11. The existence of periodic solutions

12. Bifurcations and manifolds

13. Poincaré sequences, homoclinic bifurcation, and chaos

14. Answers to the exercises

15. Appendices

16. References and further reading

17. Index

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Tags: Dominic Jordan, Peter Smith, Nonlinear, differential