VMI Chaos Lab: 2D and 3D flows
These experiments require the free version of
Berkeley Madonna.
After installing it, you may download any of these "models", and
open it with Berkeley Madonna.
All of these models are set to display a 2D "phase plot"
with the Overlay and Initial Condition options set.
This means that if you click on the graph, a new trajectory
will leap from that point.
In this menu,
- DGB denotes the text
Dynamics: the Geometry of Behavior,
- DGB1 denotes the first edition, and
- DGB2 denotes the second edition.
Exemplary Systems
- #1. Negradient system, 2D
- DGB1: Section 1.6, p. 47; Appendix B, p. 210, of Part One.
- DGB2: Section 1.6, p. 47; Appendix B, p. 627.
- #2a. Simple pendulum, 2D
- DGB1: Section 2.1, p. 55; Appendix B, p. 211, of Part One.
- DGB2: Section 2.1, p. 55; Appendix B, p. 627.
- #2bc. Buckling column and spring, 2D
- DGB1: Sections 2.2-3, p. 65-71; Appendix B, p. 211-212, of Part One.
- DGB2: Sections 2.2-3, p. 65-71; Appendix B, p. 627-628.
- #3. Predator-prey, 2D
- DGB1: Section 2.4, p. 83; Appendix B, p. 212, of Part One.
- DGB2: Section 2.4, p. 83; Appendix B, p. 628.
- #4a. Self-sustained oscillation, 2D
- DGB1: Sections 3.1-3, p. 89; Appendix B, p. 212, of Part One.
- DGB2: Sections 3.1-3, p. 89; Appendix B, p. 629.
- #5. Lorenz, 3D
- DGB1: Section 3.3, p. 85; Appendix B, p. 136, of Part Two.
- DGB2: Section 8.3, p. 283; Appendix B, p. 630.
- #6. Roessler, 3D
- DGB1: Section 3.4, p. 89; Appendix B, p. 136, of Part Two.
- DGB2: Section 8.4, p. 287; Appendix B, p. 631.
Revised 21 April 2003 by Ralph Abraham,
<abraham@vismath.org>
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