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RE: adding subset of interpolating function from a system of ODE
*To*: mathgroup at smc.vnet.net
*Subject*: [mg45870] RE: [mg45859] adding subset of interpolating function from a system of ODE
*From*: "David Park" <djmp at earthlink.net>
*Date*: Wed, 28 Jan 2004 05:19:07 -0500 (EST)
*Sender*: owner-wri-mathgroup at wolfram.com
Sean,
Plot[Evaluate[x[t] + y[t] /. solution], {t, 0, 25},
PlotPoints -> 1000, PlotRange -> All,
Frame -> True,
FrameLabel -> {t, x + y}];
ParametricPlot[Evaluate[{y[t], x[t] + z[t]} /. solution], {t, 0, 25},
PlotPoints -> 1000, PlotRange -> All,
Frame -> True,
FrameLabel -> {y, x + z}];
David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/
From: sean kim [mailto:sean_incali at yahoo.com]
To: mathgroup at smc.vnet.net
hello group.
Please consider the lorenz system for example.
In[2]:=
solution=NDSolve[{Derivative[1][x][t]\[Equal]-y[t]-z[t],x[0]\[Equal]-0.04,
Derivative[1][y][t]\[Equal]x[t]+0.425*y[t],y[0]\[Equal]-0.3,
Derivative[1][z][t]\[Equal]2-(4-x[t])*z[t],z[0]\[Equal]0.52},{x[t],
y[t],z[t]},{t,0,25}];
ParametricPlot3D[Evaluate[{x[t],y[t],z[t]}/.solution],{t,0,25},
PlotPoints -> 1000,PlotRange ->All];
above shows a parametric plot of x, y and z.
but let's say for some reason I want to plot the following..
x+y vs time
x+z vs y
how do I achieve this? is this possible in mathematica?
as always any and all thoughts are appreciated.
thank you all in advance
sean
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