A forced three-dimensional ODE system ?

From: Marc Lefranc (postmaster_at_127.0.0.1)
Date: 07/23/04 

Date: 23 Jul 2004 11:55:23 +0200

Hi all,

I am looking for a third-order differential equation that exhibits
interesting chaotic properties when an external modulation is applied.

I have spent some time on topological methods for analyzing chaotic
behavior in three-dimensional systems, including forced nonlinear
oscillators with phase space R^2 x S^1 (see home page).

I am investigating possible extensions of this approach to
higher-dimensional systems and I would like to make some tests on a
system that lives in R^3 x S^1, which is the simplest structure above
dimension three. I often work with laser models but the simplest
multimode one has natural phase space R^4 x S^1 because each new mode
comes with least an inversion population variable.

Thus if some kind soul could suggest an interesting forced third-order
differential equation, I would be very grateful.

Many thanks in advance, have a good day. 

-- 
Marc
http://www-phlam.univ-lille1.fr/perso/lefranc/

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