Geometric phalses in the motion of rigid bodies
- M. Levi
- To appear in Arch, Rat. Mech. Anal,
A series of numerical experiments which were carried out with Michael Henderson at IBM (Yorktown) uncovered a very puzzling phenomenon of phase repulsion. This effect consists of the following: when two (identical) oscillators interact, their phases actually repel: one oscillator wants to be "slightly ahead or slightly behind the other; this happens despite the apparently synchronizing effect of the coupling. This phase-replusion phenomenon was totally unexpected and a full explanation remains to be given. The PI did provide an explanation in a simple case, based on estimates (he would like to find a more universal explanation of this apparently basic effect.) The PI expects phase repulsion to play an interesting role in large networks Of coti'pled oscillators.