Superstable Synchronous Phenomena of Switch-Coupled Relaxation Oscillators

Toshimichi SAITO  Fumitaka KOMATSU  Hiroyuki TORIKAI  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E85-A   No.10   pp.2318-2325
Publication Date: 2002/10/01
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Nonlinear Problems
coupled oscillators,  hysteresis,  synchronization,  bifurcation,  switched capacitors,  

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As two simple relaxation oscillators are coupled by periodical and instantaneous switching, the system exhibits rich superstable synchronous phenomena. In order to analyze the phenomena, we derive a hybrid return map of real and binary variables; and give theoretical results for (1) superstability of the synchronous phenomena and (2) period of the synchronous phenomena as a function of the parameters. Using a simple test circuit, typical phenomena are verified in the laboratory.