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
3 - Recapturing linear ordinary differential equations
Published online by Cambridge University Press: 05 March 2012
- 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
- Type
- Chapter
- Information
- Basics of Nonlinearities in Mathematical Sciences , pp. 19 - 23Publisher: Anthem PressPrint publication year: 2007