Register to reply

Period of the DE trajectory

by srpvx
Tags: period, trajectory
Share this thread:
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?
Phys.Org News Partner Science news on Phys.org
'Office life' of bacteria may be their weak spot
Lunar explorers will walk at higher speeds than thought
Philips introduces BlueTouch, PulseRelief control for pain relief
rcgldr
#2
Feb10-12, 09:54 AM
HW Helper
P: 7,180
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: 7,180
Period of the DE trajectory

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


Register to reply

Related Discussions
Central Force (period of revolution and period of small radial oscillations) Advanced Physics Homework 2
Does damping of period affect the period? Classical Physics 2
Possible to take a trajectory from (x,y,t) and get a trajectory in phase space (q,p) Classical Physics 4
SHOW: if x1 & x2 have a period T then x3 = a*x1 + b*x2 also has period T Precalculus Mathematics Homework 1