Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Concepts related to nonlinear dynamics: historical outline
- 1 In the beginning …
- 2 A potpourri of basic concepts
- 3 First order differential systems (n = 1)
- 4 Models based on first order difference equations
- 5 Second order differential systems (n = 2)
- Appendices
- A A brief glossary of mathematical terms and notation
- B Notes on topology, dimensions, measures, embeddings and homotopy
- C Integral invariants
- D The Schwarzian derivative
- E The digraph method
- F Elliptic integrals and elliptic functions
- G The Poincaré–Bendixson theorem and Birkhoff's α and ω-limit sets
- H A modified fourth-order Runge–Kutta iteration method
- I The Stoker–Haag model of relaxation oscillations
- Bibliography
- References by topics
- References added at 1991 reprinting
- Index
D - The Schwarzian derivative
Published online by Cambridge University Press: 13 January 2010
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Concepts related to nonlinear dynamics: historical outline
- 1 In the beginning …
- 2 A potpourri of basic concepts
- 3 First order differential systems (n = 1)
- 4 Models based on first order difference equations
- 5 Second order differential systems (n = 2)
- Appendices
- A A brief glossary of mathematical terms and notation
- B Notes on topology, dimensions, measures, embeddings and homotopy
- C Integral invariants
- D The Schwarzian derivative
- E The digraph method
- F Elliptic integrals and elliptic functions
- G The Poincaré–Bendixson theorem and Birkhoff's α and ω-limit sets
- H A modified fourth-order Runge–Kutta iteration method
- I The Stoker–Haag model of relaxation oscillations
- Bibliography
- References by topics
- References added at 1991 reprinting
- Index
- Type
- Chapter
- Information
- Perspectives of Nonlinear Dynamics , pp. 396 - 399Publisher: Cambridge University PressPrint publication year: 1989