Synchronization from Pulse-Coupled Integrate-and-Fire Chaotic Oscillators

Hidehiro NAKANO  Toshimichi SAITO  Kunihiko MITSUBORI  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E83-A   No.5   pp.895-900
Publication Date: 2000/05/25
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Nonlinear Problems
integrate-and-fire model,  chaos,  synchronization,  switched capacitors,  coupled oscillators,  

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This paper studies mutually coupled integrate-and-fire type chaotic oscillators. The coupling is realized by impulsive switchings and the system exhibits various synchronous and asynchronous phenomena. We give a basic classification of the chaos synchronization phenomena and their breakdown patterns. The stability of the synchronous states can be confirmed using the piecewise exact solutions, and the basic mechanism of the phenomena can be elucidated by a simple geometric consideration. The typical phenomena are confirmed in the laboratory.