Simulating, Analyzing, and Animating Dynamical Systems

Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students provides sophisticated numerical methods for the fast and accurate solution of a variety of equations, including ordinary differential equations, delay equations, integral equations, functional equations, and some partial differential equations, as well as boundary value problems. It introduces many modeling techniques and methods for analyzing the resulting equations. Instructors, students, and researchers will all benefit from this book, which demonstrates how to use software tools to simulate and study sets of equations that arise in a variety of applications. Instructors will learn how to use computer software in their differential equations and modeling classes, while students will learn how to create animations of their equations that can be displayed on the World Wide Web. Researchers will be introduced to useful tricks that will allow them to take full advantage of XPPAUTs capabilities.

Spis treści:
List of figures
Preface
1. Installation
2
A Very Brief Tour of XPPAUT
3. Writing ODE Files for Differential Equations
4. XPPAUT in the Classroom
5. More Advanced Diffferential Equations
6. Spatial Problems, PDEs, and BVPs
7. Using AUTO. Bifurcation and Continuation
8. Animation
9
Tricks and Advanced Methods
Appendix A. Colors and Linestyles
Appendix B. The Options
Appendix C. Numerical Methods
Appendix D. Structure of ODE Files
Appendix E. Complete Command List
Appendix F. Error Messages
Appendix G. Cheat Sheet
References
IndexAppendix C. Numerical Methods
Appendix D. Structure of ODE Files
Appendix E. Complete Command List
Appendix F. Error Messages
Appendix G. Cheat Sheet
References
Index.