Abstract
DUAL AMPLITUDE ENVELOPE SYNCHRONIZATION IN PERIODICALLY COUPLED OSCILLATORS
Jing Zeng*
ABSTRACT
Amplitude envelope synchronization is a kind of strong correlationwith the coupling between the phases and the amplitude in the coupledoscillators. A new type of synchronous amplitude envelope isgenerated on the original synchronous amplitude envelope induced bythe frequency mismatches in the periodically coupled nonidenticaloscillators. With the increment of the variation amplitude of theperiodic coupling strength the amplitude of the new born synchronousamplitude envelope increases accordingly while the average value ofthe synchronous amplitude envelope decreases to the increment of the average value of theperiodic coupling strength. The frequency of the synchronous amplitude envelope keeps equalto that of the periodic couplings. The new born synchronous amplitude envelope may enlargeor suppress the amplitude of the original frequency mismatches induced amplitude envelopein different time of a period. It is meaningful to understand the inner regimes of thecorrelation between the phase and amplitude coupling in the coupled neural system byexploring the dual amplitude envelope synchronization in the periodically coupled system.
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