Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Differential equations, maps and asymptotic behaviour
- 3 Transition from order to chaos
- 4 Numerical methods for studies of parametric dependences, bifurcations and chaos
- 5 Chaotic dynamics in experiments
- 6 Forced and coupled chemical oscillators – a case study of chaos
- 7 Chaos in distributed systems, perspectives
- Appendix A Normal forms and their bifurcation diagrams
- Appendix B CONT – a program for construction of solution and bifurcation dia-grams
- Index
Appendix B - CONT – a program for construction of solution and bifurcation dia-grams
Published online by Cambridge University Press: 24 November 2009
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Differential equations, maps and asymptotic behaviour
- 3 Transition from order to chaos
- 4 Numerical methods for studies of parametric dependences, bifurcations and chaos
- 5 Chaotic dynamics in experiments
- 6 Forced and coupled chemical oscillators – a case study of chaos
- 7 Chaos in distributed systems, perspectives
- Appendix A Normal forms and their bifurcation diagrams
- Appendix B CONT – a program for construction of solution and bifurcation dia-grams
- Index
Summary
This is the simplest self-consistent version of a continuation program developed and used in our research group. The program is able to find a starting point in a state space and to continue this point as one or two parameters are varied. The description of the method of continuation used in the program as well as references are contained in Chapter 4. Hints for running the program are found in comment lines to the main program. The subroutine PRSTR defining the equations and the Jacobi matrix must be supplied by the user. As a test model, two coupled Brusselators discussed in detail in Chapter 6 are defined in the sample subroutine PRSTR. Also included are input data for obtaining solution diagrams in Figs 6.14 and 6.17
CONT package is available through Internet upon request. For information send and e-mail message to marek@ vscht.cs or schrig@ vscht.cs.
- Type
- Chapter
- Information
- Chaotic Behaviour of Deterministic Dissipative Systems , pp. 302 - 362Publisher: Cambridge University PressPrint publication year: 1991