Existence of subharmonic solutions to a hysteresis system with sinusoidal external influence

Abstract

We consider a system of ordinary differential equations with nonlinearity describing relay hysteresis under sinusoidal external influence. Theorems on sufficient conditions for the existence of subharmonic solutions to the system being investigated are established.

Keywords

• Hysteresis nonlinearity
• sinusoidal external influence
• subharmonic solutions
• switching points