Book contents
- Frontmatter
- Contents
- Preface
- 1 Nonlinear behavior in the physical sciences and biology: some typical examples.
- 2 Quantitative formulation
- 3 Dynamical systems with a finite number of degrees of freedom
- 4 Linear stability analysis of fixed points
- 5 Nonlinear behavior around fixed points: bifurcation analysis
- 6 Spatially distributed systems, broken symmetries, pattern formation
- 7 Chaotic dynamics
- Appendices
- A1 Proof of the principle of linearized stability for one-variable systems
- A2 Hopf bifurcation analysis of the Brusselator model
- References
- Index
A1 - Proof of the principle of linearized stability for one-variable systems
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Preface
- 1 Nonlinear behavior in the physical sciences and biology: some typical examples.
- 2 Quantitative formulation
- 3 Dynamical systems with a finite number of degrees of freedom
- 4 Linear stability analysis of fixed points
- 5 Nonlinear behavior around fixed points: bifurcation analysis
- 6 Spatially distributed systems, broken symmetries, pattern formation
- 7 Chaotic dynamics
- Appendices
- A1 Proof of the principle of linearized stability for one-variable systems
- A2 Hopf bifurcation analysis of the Brusselator model
- References
- Index
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- Introduction to Nonlinear Science , pp. 230 - 233Publisher: Cambridge University PressPrint publication year: 1995