Cheating Multiple Point Attractors into Existence
- To: mathgroup at smc.vnet.net
- Subject: [mg30775] Cheating Multiple Point Attractors into Existence
- From: Jeffrey Kazuo Yoshimi <yoshimi at taurus.oac.uci.edu>
- Date: Wed, 19 Sep 2001 00:16:15 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hello all, I want to create a digram for a paper I am writing which illustrates the concept of point attractors in a phase plane. I was going to simply draw an example but my efforts looked pretty crappy so I figured I'd try mathematica or some other computer mathematics system out. So here' s my question: Does anyone know of a differential equation whose phase portrait contains multiple point attractors ? If the equation had some parameter(s) that could be set to alter the number and location of these attractors even better. I don't care what the equation is, I just want to create a nice looking picture with 3-5 point attractors and trajectories curving towards them. Any tips on how to graph the equations in Mathematica would also be helpful. If I was a better mathematician I'd know what to do. As it is I appeal to your collective wisdom! Thanks Jeff Yoshimi