Abstract
The cooperative behavior of a network of interacting nonlinear oscillators is investigated numerically. Such an oscillator-net serves as a phenomenological model for an endogenous circadian pacemaker in organisms. Following two types of network are examined. (1) Ordered oscillator-net: oscillators sit on the square-lattice points and interact with the nearest neighbors. (2) Random oscillator-net: each oscillator is influenced by a certain number of randomly chosen oscillators. Detailed computer experiment is made on the oscillator-net containing one hundred to one thousand oscillators. The self-entraining behavior is found to be very different in the two types of oscillator-net. The sample- and size-dependence are also studied. The relevance of the oscillator-net as a model for the circadian pacemaker is discussed.
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