Phys. Rev. Lett. 82, 4228–4231 (1999)Alternating Locking Ratios in Imperfect Phase SynchronizationReceived 4 November 1998; published in the issue dated 24 May 1999 In periodically driven chaotic dynamical systems with a broad distribution of intrinsic time scales, perfect phase synchronization cannot be reached. Long segments of evolution during which the phase of a chaotic variable follows the phase of the driving force are interrupted by short segments of phase drift. We demonstrate that this drift is another short-lived synchronized state; its onset is caused by the passage near the long unstable periodic orbits whose frequencies are locked by external force in ratios different from 1:1. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.4228
DOI:
10.1103/PhysRevLett.82.4228
PACS:
05.45.Xt
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