1st Edition
Surveying a Dynamical System A Study of the Gray-Scott Reaction in a Two-Phase Reactor
352 Pages
by
Chapman & Hall
When a dynamical system has a large number of parameters it is not possible to get a completely comprehensive picture of all the types of behavior that it may display and one must be content with surveying the system along various corridors of lower dimension. Using an example with three differential equations and six parameters it is shown how the available methods of singularity theory,... Read more
Introduction
Mathematical modeling
Steady state analysis
Steady state analysis: Model I
Steady state analysis: Model II
Dynamics - theory
Dynamics - Model I
Dynamics - Model II
Chaos - theory
Chaos - Model I
Chaos - Model II
Summary and conclusions
Mathematical modeling
Steady state analysis
Steady state analysis: Model I
Steady state analysis: Model II
Dynamics - theory
Dynamics - Model I
Dynamics - Model II
Chaos - theory
Chaos - Model I
Chaos - Model II
Summary and conclusions
Biography
Khalid Alhumaizi, Rutherford Aris
The authors of this book made the interesting and inspiring choice to approach this problem in a very applied fashion…only two related, relatively simple, three-dimensional ordinary differential equations are studied…The nice thing about this book is that the two models studied here are not completely 'toy models'…
-Nonlinear Science Today, November 1996
