Synchronization of Relaxation Oscillators Having Individual Difference by Non-Periodic Signal Injection

Takuya KURIHARA  Kenya JIN'NO  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E99-A   No.6   pp.1188-1197
Publication Date: 2016/06/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E99.A.1188
Type of Manuscript: PAPER
Category: Nonlinear Problems
Keyword: 
injection locking,  relaxation oscillator,  non-periodic injected signal,  piecewise linear system,  

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Summary: 
In this study we investigate the synchronization of relaxation oscillators having individual differences by using non-periodic signal injection. When a common non-periodic signal is injected into the relaxation oscillators, the oscillators exhibit synchronization phenomena. Such synchronization phenomena can be classified as injection locking. We also consider the relation between the synchronization state and the individual difference. Further, we pay attention to the effect of the fluctuation range of the non-periodic injected signal. When the fluctuation range is wide, we confirm that the synchronization range increases if the individual difference is small.