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Period of the DE trajectory

by srpvx
Tags: period, trajectory
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srpvx
#1
Feb10-12, 08:43 AM
P: 5
I have a second order nonlinear ODE. I know that a trajectory with specified initial conditions [tex]\left[ x(0) = x_0, \dot{x}(0) = \dot{x}_0 \right] [/tex] is periodic. How can I numerically calculate period of this trajectory without solve this DE?
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rcgldr
#2
Feb10-12, 09:54 AM
HW Helper
P: 7,108
Are you allowed to use a numerical method like Runge Kutta or would that be considered "solving" the ODE?
srpvx
#3
Feb13-12, 03:53 AM
P: 5
Quote Quote by rcgldr View Post
Are you allowed to use a numerical method like Runge Kutta or would that be considered "solving" the ODE?
I mean that the numerical solution like the attachment paper.

rcgldr
#4
Feb13-12, 03:59 AM
HW Helper
P: 7,108
Period of the DE trajectory

That's a method that I'm not familiar with. Hopefully someone here may be able to help.


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