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MathGroup Archive 2008

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Re: phase-space versus controlling parameter surface

  • To: mathgroup at smc.vnet.net
  • Subject: [mg91737] Re: phase-space versus controlling parameter surface
  • From: Luca Petrone <luke-sky-walker at hotmail.it>
  • Date: Sun, 7 Sep 2008 05:33:14 -0400 (EDT)

Dear All,

I am interested in plotting a surface of the phase-space versus a controlling parameter, e.g. the B in a Duffing's equation

x'[t] == v[t]
v'[t] == - x[t]^3 - k v[t] + B Cos[t]

that is, in the space {x[t], v[t], B} for a known k and B varying from Bmin to Bmax
I tryed something like :

ParametricPlot3D[ Evaluate[{x[t], v[t], B} /. NDSolve[{v'[t] == - x[t]^3 - k v[t] + B Cos[t], x'[t] == v[t], x[0] == 1, v[0] == 0}, {x=, v}, {t, 0, 2000}, MaxSteps -> Infinity] ], {t, 1950, 1950 + 4 Pi}, {B, 0.2, 0.6}]

but without success.
Is there any way to get it ?

Thank you very much for your help.

Yours,
Luca P.
Milano - Italy

(I re-edited the message, I had some problem with 7-bit... sorry..)


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