Period of the DE trajectory

srpvx

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?

rcgldr

Are you allowed to use a numerical method like Runge Kutta or would that be considered "solving" the ODE?

srpvx

Quote by rcgldr

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

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

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srpvx	Period of the DE trajectory Tweet 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?

rcgldr Recognitions: Homework Help	Are you allowed to use a numerical method like Runge Kutta or would that be considered "solving" the ODE?

rcgldr Recognitions: Homework Help	Period of the DE trajectory That's a method that I'm not familiar with. Hopefully someone here may be able to help.