Effect of coupling resistors on steady patterns in coupled oscillator networks

Seiichiro Moro, Tadashi Matsumoto · Electronics and Communications in Japan (Part III Fundamental Electronic Science) · 2003

Abstract The present authors recently reported synchronization phenomena in a star connection of several oscillators with identical characteristics through resistors. In such a system there occurs synchronization of the oscillators with deviated phases. Hence, extremely many phase conditions can be observed. The authors have also proposed a coupled oscillator network by extending this system. In the present network, many different phase patterns are observed. Based on its configuration, this network is a candidate for application as a cellular neural network (CNN). When this network is applied as a CNN, control parameters that characterize the behavior of the network are needed. In the present paper, the coupling resistors are recognized as such parameters. This paper examines how the variations of the coupling resistors affect the relationship between the initial state and the observed steady‐state pattern. © 2003 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 87(1): 29–37, 2004; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/ecjc.10102

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