Torus birth and destruction in an autonomous piecewise-smooth system

This paper is devoted to investigating the quasiperiodic route to chaos in the four-dimensional piecewise-smooth autonomous model of a control system with hysteresis. We show how the quasiperiodic trajectory may lie on different kinds of two dimensional tori, including single-, double-, and quintuple-turn tori. We also present a detailed analysis of a scenario for the destruction of two-dimensional torus through a homoclinic bifurcation.