Timeline for Periodicity of a specific non-linear ODE of second order
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Feb 11, 2013 at 23:00 | history | edited | Alexandre Eremenko | CC BY-SA 3.0 |
added 286 characters in body
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| Feb 11, 2013 at 14:30 | comment | added | Alexandre Eremenko | Finding the length of the period is simple. You write your equation as $(dx/dt)^2=P(x)$. This is separable, and the period $T=\int dx/\sqrt{P},$ where the integration is over the closed trajectory. This is an elliptic integral; it can be brought to a standard form, and this gives an explicit answer. | |
| Feb 11, 2013 at 9:24 | comment | added | Per Alexandersson | Thank you! J.E Bjork tells me he has some ideas as well on how to find the length of the period for initial values <0.5... | |
| Feb 8, 2013 at 21:05 | history | answered | Alexandre Eremenko | CC BY-SA 3.0 |