Mathematical Models of Non-Linear Mechanical and Electrical Systems and Their Qualitative Behavior
Final rept. 15 Jul-14 Oct 1991,
BOSTON UNIV MA DEPT OF MATHEMATICS AND STATISTICS
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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-repulsion 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 coupled oscillators.
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