[Date Index]
[Thread Index]
[Author Index]
Poincare section for double pendulum
*To*: mathgroup at smc.vnet.net
*Subject*: [mg120573] Poincare section for double pendulum
*From*: gal bevc <gal.bevc at gmail.com>
*Date*: Fri, 29 Jul 2011 08:02:28 -0400 (EDT)
*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com
Hello,
I'm a relatively new user of Mathematica, who doesn't have much of
programming skills. For my undergraduate assingment I must analyze chaotic
motion of double pendulum.
Until now i have got system of differential equations for equations of
motion for double pendulum(i have x''[t]=function(t) and
y''[t]=function(t)). System of differential equations can be solved for 4
inital conditions, x[0],y[0],x'[0] and y'[0]. With using function NDSolve i
got functions of angles and angular velocities for upper and lower pendulum
with respect to time, x[t],x'[t],y[t] and y'[t].
To get a poincare section of double pendulum, i have to record position of
y[t] and y'[t] whenever x[t] is equal to zero and the velocity of x'[t] is a
positive number. In the end I must get some sort of phase diagram y[t] and
y'[t].
Because this is a Hamilton non-dissipative system, inital energy of the
system is a constant of time and initial energy is a function of initial
conditions. To get a real poincare diagram i must repeat the procedure
described above for different initial conditions, but for the same energy
level. I need mathematica to use some random numbers for initial conditions
in a way that the initial energy of the system stays the same. So i must
repeat procedure for poincare section(surface of section) for let's say 50
different initial conditions and then display all results in one y[t],y'[t]
diagram.
Hope that someone can help me.
Thank you,
Gal Bevc
Prev by Date:
**Re: CompressedData in Buttons**
Next by Date:
**Re: FinancialData errors**
Previous by thread:
**Re: NIntegrate issue with symbolic parameters**
Next by thread:
**Re: Poincare section for double pendulum**
| |