Revision as of 22:31, 6 October 2008

(Under Construction : synchronisation and whole system)

Simulations and Mathematical analysis

Oscillations

We wanted to see if, from a mathematical point of view, it was possible for the "short" system presented above to hover.

The equations are normalized (thus the degradation term set to 1), as well as the parameters :

As introcued befoe, the goal of this model was to give us useful bases on which to work on. Then, we shall use the values of the parameters presented below as a "starting point". Again, we shall present a double approach, composed of a theoretical and a simulation approach. Both approaches should interact so as to help us understand the way our system behaves.
First of all, let us see what the simulation gives, and what pieces of information we can get from it.

By looking at this simulation, we could think that it is going to be hard to get oscillations...

However when we zoom, we get this more reassuring view :

@@ Line 48: / Line 48: @@
 * First of all, let us see what the simulation gives, and what pieces of information we can get from it.
 By looking at this simulation, we could think that it is going to be hard to get oscillations...
-[[Image:Simul_fig1.jpg|400px|center|thumb]]
+[[Image:Simul_fig1.jpg|600px|center]]
 However when we zoom, we get this more reassuring view :
-[[Image:Simul_fig2.jpg|400px|center|thumb]]
+[[Image:Simul_fig2.jpg|600px|center]]