| Topic: |
Science > Physics |
| User: |
"Mark" |
| Date: |
24 Mar 2005 11:10:02 AM |
| Object: |
How to construct a Poincaré Map |
I ought to construct a Poincaré Map from the following system: (formulas are
in LaTeX for a better view)
\begin{equation}
\frac{dx}{dt} = Ax + B\sin \omega t
\end{equation}
\begin{equation}
\frac{d \omega}{dt} = 1
\end{equation}
First of all I resolved the differential equations:
\begin{equation}
x = c * e^{At} + \frac{\omega}{A^{2} + B} (A\sin \omega t - \cos \omega t)
\end{equation}
\begin{equation}
\omega = \omega_{0} + t
\end{equation}
Supposing it's correct ( or I hope so :p ), what should I do next? On
Google, I've found some related links on Poincaré Map, but apart the
definition, none of them explains how to build it. Could anyone help me?
--
M&C
clnmrc@tin.it
.
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