phase-space versus controlling parameter surface
- To: mathgroup at smc.vnet.net
- Subject: [mg91726] phase-space versus controlling parameter surface
- From: Luca Petrone <luke-sky-walker at hotmail.it>
- Date: Sat, 6 Sep 2008 02:09:51 -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=2C in the space {x[t]=2C v[t]=2C B} for a known k and B varying from Bmin to BmaxI tryed something like : ParametricPlot3D[ Evaluate[{x[t]=2C v[t]=2C B} /. NDSolve[{v'[t] == - x[t]^3 - k v[t] + B Cos[t]=2C x'[t] == v[t]=2C x[0] === 1=2C v[0] == 0}=2C {x=2C v}=2C {t=2C 0=2C 2000}=2C MaxSteps -> Infinity] ]=2C {t=2C 1950=2C 1950 + 4 Pi}=2C {B=2C 0.2=2C 0.6}] but without success.Is there any way to get it ? Thank you very much for your help. Yours=2C Luca P.Milano - Italy _________________________________________________________________