Description 
1 online resource (vi, 587 pages) : illustrations 
Series 
Oxford Texts in Applied and Engineering Mathematics ; v.No. 11 

Oxford texts in applied and engineering mathematics.

Contents 
1 Secondorder 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 
Summary 
An ideal companion to the new 4th Edition of <em/>Nonlinear Ordinary Differential Equations " by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fullyworked solutions in nonlinear differential equations. With 272 figures and diagrams, subjects covered include phase diagrams in the plane, classification of equilibrium points, geometry of the phase plane, perturbation methods, forced oscillations, stability, Mathieu's equation, Liapunov methods, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's method. The problems are of variable difficulty; some are routine questions, others are longer and expand on concepts discussed in <em/>Nonlinear Ordinary Differential Equations " 4th Edition, and in most cases can be adapted for coursework or selfstudy. 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 
Bibliography 
Includes bibliographical references 
Notes 
English 

Print version record 
Subject 
Differential equations, Nonlinear  Problems, exercises, etc


MATHEMATICS  Differential Equations  Ordinary.


Differential equations, Nonlinear

Genre/Form 
Electronic books


Problems and exercises

Form 
Electronic book

Author 
Smith, Peter, 1935

LC no. 
2008295712 
ISBN 
0191526401 

9780191526404 

1281160881 

9781281160881 

9786611160883 

6611160884 

1435618033 

9781435618039 
