Nonlinear Ordinary Differential Equations : Problems and Solutions.

Nonlinear Ordinary Differential Equations : Problems and Solutions.

An ideal companion to the student textbook Nonlinear Ordinary Differential Equations 4th Edition (OUP, 2007) this text contains over 500 problems and solutions in nonlinear differential equations, many of which can be adapted for independent coursework and self-study. - ;An ideal companion to the ne...

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Bibliographic Details
Main Author: Jordan, Dominic
Other Authors: Smith, Peter, 1935-
Format: Electronic eBook
Language:English
Published: Oxford : Oxford University Press, UK, 2007.
Series:Oxford texts in applied and engineering mathematics.
Subjects:
Differential equations, Nonlinear > Problems, exercises, etc.
Nonlinear theories.
Online Access: Full text (Wentworth users only)
Local Note:ProQuest Ebook Central
Table of Contents:
  • 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 Stabilty 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 PoincarĂ© sequences, homoclinic bifurcation, and chaosReferences.

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