Nonlinear Autonomous Oscillations: Analytical Theory

Content: 
Edited by
Page v

Copyright page
Page vi

Preface
Pages vii-viii
Minoru Urabb

1. Analysis of Vectors and Matrices
Pages 1-16

2. Basic Theorems Concerning Ordinary Differential Equations
Pages 17-23

3. Linear Differential Systems
Pages 24-33

4. Orbits of Autonomous Systems
Pages 34-41

5. Moving Orthonormal Systems along a Closed Orbit
Pages 42-53

6. Stability
Pages 54-90

7. Perturbation of Autonomous Systems
Pages 91-100

8. Perturbation of Fully Oscillatory Systems
Pages 101-118

9. Perturbation of Partially Oscillatory Systems
Pages 119-162

10. Analysis of Two-Dimensional Autonomous Systems
Pages 163-203

11. Numerical Computation of Periodic Solutions
Pages 204-228

12. Center of the Autonomous System
Pages 229-243

13. Inverse Problems Connected with Periods of Oscillations Described by  + g(x) = 0
Pages 244-279

Appendix: The Newton Method and Step-by-Step Methods for Ordinary Differential Equations
Pages 280-322

Bibliography Review Article
Pages 323-325

Subject Index
Pages 327-330