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Question on the influence of inconsistent initial values on solving periodic IVP

  1. Nov 11, 2011 #1
    Hello everybody,

    I was wondering whether someone has more information on the influence of inconsistant initial conditions on solving a system of ODE's with periodic solutions using a time marching method like a 4th order Runge-Kutta scheme. The phenomenon I am studying is described by a system of 1st order ODE's. I know the system must have a periodic solution, since the motion and environment of the phenomenon are completely periodic. The system of ODE's tells me how the phenomenon evolves, but to solve the system I naturally need an initial condition to start the calculations from. However, I don't know this initial conditions, I can at most guess an approximate initial condition. My question now is: since the solution will have to be periodic, will the influence of inconsistent initial conditions eventually fade out?

    Thanks a lot in advance,

    Best regards,

    Bart B
     
  2. jcsd
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