Abstract
This paper describes characteristics of the FitzHugh oscillator that represents dynamic properties of nerve cells and is applied to a filter, which can extract the designated frequency, for semi-active control of structures. The FitzHugh oscillator is one of the nonlinear oscillator who has a property and which is synchronized with a sinusoidal input. To detect the synchronization region, the phase reduction method is applied. As a result of the application, a phase coupling function to drive the region and phase difference between the output and input of the oscillator, which are important when using the oscillator as a filter, were obtained. In addition, a response of the oscillator to dual frequency input, whose frequencies were the natural frequency of oscillator and another, was investigated by numerical simulation. In the simulation, it was clear that a specified frequency filtered by the oscillator could be extracted. Additionally, in the case of single frequency input, it was unveiled that the completion time of synchronization depended on the initial phase difference between input and output by the simulation.
