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 | | From: | Roger Bagula | | Subject: | [Fwd: Lyapunov Function] | | Date: | Thu, 02 Dec 2004 15:16:17 GMT |
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-------- Original Message --------
Subject: Lyapunov Function
Date: Thu, 2 Dec 2004 14:03:31 +0000 (UTC)
From: donpost2000@hotmail.com (Mike Dartnall)
Organization: The Math Forum
Newsgroups: sci.math
Hi, can anyone figure out a Lyapunov function (non-strict)for the following system of equations?
x' = y - 2*x*(y^2)
y' = -(x^3) + (x^4)*y
I have tried V(x,y) of the form:
a(x^2) + b(y^2)
a(x^2) + b(y^2) + c(x^4)
a(x^2) + b(y^2) + c(y^4)
a(x^2) + c*x*y + b(y^2) -1
--
Respectfully, Roger L. Bagula
tftn@earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
alternative email: rlbtftn@netscape.net
URL : http://home.earthlink.net/~tftn
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