Nonlinear ordinary differential equations : problems and solutions : a sourcebook for scientists and engineers / D.W. Jordan and P. Smith.

Format:

Book

Author/Creator:

Jordan, D. W. (Dominic William), author.

Smith, Peter, 1935- author.

Series:

Oxford scholarship online.

Oxford scholarship online

Language:

English

Subjects (All):

Differential equations, Nonlinear--Problems, exercises, etc.

Differential equations, Nonlinear.

Physical Description:

1 online resource (594 p.)

Place of Publication:

Oxford : Oxford University Press, 2023.

Language Note:

English

Summary:

An ideal companion to 'Nonlinear Ordinary Differential Equations, Fourth Edition', this text contains over 500 problems and solutions in nonlinear differential equations, many of which can be adapted for independent coursework and self-study.

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 Poincaré sequences, homoclinic bifurcation, and chaosReferences

Notes:

Formerly CIP.

Previously issued in print: 2007.

Includes bibliographical references.

Derived record based on print version record and publisher information.

Description based on publisher supplied metadata and other sources.

ISBN:

1-383-03499-0

1-281-16088-1

9786611160883

0-19-152640-1

1-4356-1803-3

OCLC:

437093947