Description 
1 online resource (594 pages) 
Series 
Oxford Texts in Applied and Engineering Mathematics 

Oxford texts in applied and engineering mathematics.

Contents 
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 

13 PoincarĂ© sequences, homoclinic bifurcation, and chaosReferences 
Summary 
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 selfstudy.  ;An ideal companion to the new 4th Edition of 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 equi 
Notes 
Print version record 
Subject 
Differential equations, Nonlinear  Problems, exercises, etc


Nonlinear theories.


Differential equations, Nonlinear.


Nonlinear theories.

Genre/Form 
Problems and exercises.

Form 
Electronic book

Author 
Smith, Peter, 1935

ISBN 
9780191526404 

0191526401 
