R: R: Help.Help.Help.Help
- To: mathgroup at smc.vnet.net
- Subject: [mg15333] R: R: Help.Help.Help.Help
- From: "Alessandro Ercolani" <alerco at tin.it>
- Date: Fri, 8 Jan 1999 04:15:21 -0500
- Sender: owner-wri-mathgroup at wolfram.com
[Contact the author to obtain the file mentioned below - moderator] Hi It's me Alessandro Ercolani. I'd like to explain well my problem. The file Duff1.bmp is token from file orbits.nb. It show the evolution of circle of initial condition of radius r that it follow the Duffing's equation x''[t]+x'[t]+(x[t]^3)==Cos[t] I thought to put together Duffin's equation and equation of a circle to calculate parametric equation of the curve in the picture for every t. But using Mathematica 3.0 I have a lot of problems. A important thing is that the evolution of the Duffing's equation is represented on phase plane so on the axes there are x[t] and x'[t]. So for example the circle's equation is (x[t]^2) + (x' [t]^2) + ax[t]+bx' [t]+c==0 Beside I don't have the exact initial conditions because x[0] and x'[0] don't represent a point but a circle. The only things that I know they are the center (-1,1) and the radius r=0.3 Can you help me please? Thanks in advance.
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