Book contents
- Frontmatter
- Contents
- Preface
- Part One Linear Equations
- Part Two Nonlinear Equations and Advanced Techniques
- 8 Existence, Uniqueness, Continuity and Comparison of Solutions of Ordinary Differential Equations
- 9 Nonlinear Ordinary Differential Equations: Phase Plane Methods
- 10 Group Theoretical Methods
- 11 Asymptotic Methods: Basic Ideas
- 12 Asymptotic Methods: Differential Equations
- 13 Stability, Instability and Bifurcations
- 14 Time-Optimal Control in the Phase Plane
- 15 An Introduction to Chaotic Systems
- Appendix 1 Linear Algebra
- Appendix 2 Continuity and Differentiability
- Appendix 3 Power Series
- Appendix 4 Sequences of Functions
- Appendix 5 Ordinary Differential Equations
- Appendix 6 Complex Variables
- Appendix 7 A Short Introduction to MATLAB
- Bibliography
- Index
9 - Nonlinear Ordinary Differential Equations: Phase Plane Methods
Published online by Cambridge University Press: 06 July 2010
Book contents
- Frontmatter
- Contents
- Preface
- Part One Linear Equations
- Part Two Nonlinear Equations and Advanced Techniques
- 8 Existence, Uniqueness, Continuity and Comparison of Solutions of Ordinary Differential Equations
- 9 Nonlinear Ordinary Differential Equations: Phase Plane Methods
- 10 Group Theoretical Methods
- 11 Asymptotic Methods: Basic Ideas
- 12 Asymptotic Methods: Differential Equations
- 13 Stability, Instability and Bifurcations
- 14 Time-Optimal Control in the Phase Plane
- 15 An Introduction to Chaotic Systems
- Appendix 1 Linear Algebra
- Appendix 2 Continuity and Differentiability
- Appendix 3 Power Series
- Appendix 4 Sequences of Functions
- Appendix 5 Ordinary Differential Equations
- Appendix 6 Complex Variables
- Appendix 7 A Short Introduction to MATLAB
- Bibliography
- Index
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Differential EquationsLinear, Nonlinear, Ordinary, Partial, pp. 217 - 255Publisher: Cambridge University PressPrint publication year: 2003