Temporal and spatial locking of nonlinear systems

摘要

Peer-to-peer locking of two magnetrons is analyzed including the effects of a frequency chirp and of low frequency noise. It is found that complete phase locking cannot be achieved in either case. However, as long as the locking condition is well satisfied instantaneously, a high degree of locking occurs. This analysis in the time domain is adapted to locking in the spatial domain, in particular to the interpretation of some recent experiments on the spatial correlation of two ablating current-carrying wires that are placed sufficiently close to each other.