Book contents
- Frontmatter
- Contents
- Preface
- 1 Preamble
- 2 Motivation
- 3 Recapturing linear ordinary differential equations
- 4 Linear systems: Qualitative behaviour
- 5 Stability studies
- 6 Study of equilibria: Another approach
- 7 Non-linear vis a vis linear systems
- 8 Stability aspects: Liapunov's direct method
- 9 Manifolds: Introduction and applications in nonlinearity studies
- 10 Periodicity: Orbits, limit cycles, Poincare map
- 11 Bifurcations: A prelude
- 12 Catastrophes: A prelude
- 13 Theorizing, further, bifurcations and catastrophes
- 14 Dynamical systems
- 15 Epilogue
- Appendix I
- Appendix II
- Appendix III
- Appendix IV
- Appendix V
- Frontmatter
- Contents
- Preface
- 1 Preamble
- 2 Motivation
- 3 Recapturing linear ordinary differential equations
- 4 Linear systems: Qualitative behaviour
- 5 Stability studies
- 6 Study of equilibria: Another approach
- 7 Non-linear vis a vis linear systems
- 8 Stability aspects: Liapunov's direct method
- 9 Manifolds: Introduction and applications in nonlinearity studies
- 10 Periodicity: Orbits, limit cycles, Poincare map
- 11 Bifurcations: A prelude
- 12 Catastrophes: A prelude
- 13 Theorizing, further, bifurcations and catastrophes
- 14 Dynamical systems
- 15 Epilogue
- Appendix I
- Appendix II
- Appendix III
- Appendix IV
- Appendix V
Summary
![Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'](https://static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Abook%3A9781843313564/resource/name/firstPage-9781843313564apx4_p314-315_CBO.jpg)
- Type
- Chapter
- Information
- Basics of Nonlinearities in Mathematical Sciences , pp. 314 - 315Publisher: Anthem PressPrint publication year: 2007