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Analysis of a neural oscillator. (English) Zbl 1232.34058

Summary: Although the Matsuoka neural oscillator, which was originally proposed as a model of central pattern generators, has widely been used for various robots performing rhythmic movements, its characteristics are not clearly explained even now. This article shows two closed-form relations that express the frequency and amplitude of the generated oscillation as functions of the parameters of the model. Although they are derived based on a rough linear approximation, they accord with the result obtained by a simulation considerably. The obtained relations also give us some nontrivial predictions about the properties of the oscillator.

MSC:

34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
92C20 Neural biology
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