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Nonlinear ordinary differential equations : an introduction for scientists and engineers / D.W. Jordan and P. Smith

Author
Jordan, D. W. (Dominic William)
Published
Oxford ; New York : Oxford University Press, 2007.
Edition
4th ed.
Physical Description
1 online resource (viii, 531 pages) : illustrations
Additional Creators
Smith, Peter, 1935-
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Series
Language Note
English.
Contents
Preface to the fourth edition; 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 and 13 Poincaré sequences, homoclinic bifurcation, and chaosAnswers to the exercises; Appendices; References and further reading; Index;
Summary
Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises. An ideal resource for students and lecturers in engineering, mathematics and the sciences it is published alongside a separate Problems and Solutions Sourcebook containing over 500 problems and fully-worked solutions. - ;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.
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Subject(s)
ISBN
9780191525995 (electronic bk.)
0191525995 (electronic bk.)
9780199208241 (hbk.)
0199208247 (hbk.)
9780199208258 (pbk.)
0199208255 (pbk.)
Note
Previous edition: 1999.
Bibliography Note
Includes bibliographical references and index.
View MARC record | catkey: 43161310