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MathGroup Archive 2004

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Re: adding subset of interpolating function from a system of ODE

  • To: mathgroup at smc.vnet.net
  • Subject: [mg45866] Re: adding subset of interpolating function from a system of ODE
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Wed, 28 Jan 2004 05:19:03 -0500 (EST)
  • Organization: Universitaet Leipzig
  • References: <bv5e79$t28$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

a) this is a R"ossler system and not a Lorenz system
b) what may

Plot[Evaluate[x[t] + y[t] /. solution], {t, 0, 25}]

and

ParametricPlot[Evaluate[{x[t] + z[t], y[t]} /. solution], {t, 0, 25}]

do ?

Regards
  Jens

sean kim wrote:
> 
> 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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