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[MUG] Hopfu.mws
| [MUG] Hopfu.mws |
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Author: C W
Posted: Tue, 30 Apr 2002 20:54:14 -0300
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>> From: C W "sylvester7"
Hi !
I downloaded this maple worksheet entitled Hopfu.mws. It contains a
bifucation model of a sort. I am looking for a more complete workup
on this example or for nay other example in this domain.
Thank You
Chris
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| [MUG] Re: Hopfu.mws |
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Author: Douglas B Meade
Posted: Fri, 03 May 2002 23:23:54 -0400
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>> From: "Douglas B. Meade" "meade"
Chris and MUG,
| >> From: C W "sylvester7"
| I downloaded this maple worksheet entitled Hopfu.mws. It contains a
| bifucation model of a sort. I am looking for a more complete workup
| on this example or for nay other example in this domain.
You might want to take a look at Unit 6 in the Differential Equations
PowerTool on the Waterloo Maple website. The URL is
http://www.mapleapps.com/powertools/des/des.shtml. As the author of the
DE PowerTool, I welcome comments, questions, and suggestions for
improvements.
I hope this helps,
Doug
-----------------------------------------------------------------------
Douglas B. Meade Phone: (803) 777-6183 FAX: (803) 777-6527
Department of Mathematics URL: http://www.math.sc.edu/~meade/
USC, Columbia, SC 29208 E-mail: "mailto:meade"
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| [MUG] Hopfu.mws |
|
Author: C W
Posted: Thu, 02 Jan 2003 09:33:29 -0400
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>> From: C W "sylvester7"
Hi !
I have been editing the Hopfu.mws DE :
de1 := diff(x(t),t) = (-a + b*y(t)/(c + k*y(t)))*x(t);
de2 := diff(y(t),t) = (d - e*y(t) - f*x(t)/(c+k*y(t)))*y(t);
{a=0.5, b=1, d=1, e=1, f=1, c=0.3, k=1.0};
I managed create 2 DE equations, each in one variable, 2nd order. All efforts
were done by manual substitution... Is there a Maple package, that would do this
automatically ? Arethere more papers available about this particular DE ?
Chris
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