Since outcome of strong non-linear interaction dynamics often lead to chaos. In some cases it called Lyapunov instability ,
which may bring a disaster looking like this:like this I am afraid.

No-linear dynamics study and exploitation has become my new thematics with quite a few publications (follow later)

http://cnls.lanl.gov/~toro/Chaos.htmExperimentalWiglerModelledTetheredParticle