A simplified model of coupled relaxation oscillators
In this paper we analyze a simplified model of a pair of coupled relaxation oscillators. The simplified model employs a two-dimensional phase space with jump conditions to approximate the behavior in the full four-dimensional phase space. The stability of the phase-locked modes of oscillation for the simplified system is obtained using phase plane techniques and compared to that previously obtained for the full system using asymptotic and numerical methods. It is shown that these results differ qualitatively over a region of the parameter space, and Lyapunov's direct stability method is used to explain this shortcoming of the model.
scientific article; zbMATH DE number 3995152