Chaos improvement in AC variable active passive reactance systems with OGY method

Variable active passive reactance (VAPAR) is nonlinear time varying system which can generate virtual variable inductance including negative values in power circuits. AC source of VAPAR causes sinusoidal states in circuit then the circuit has not one fixed point in source period. And modified Poincare map must be used for modeling of these systems. The OGY method is used for controlling of chaos. The OGY moves characteristic multipliers to stable manifolds and characteristic multipliers in modified Poincare map are moved to stable locations. In the physical system, chaotic behaviors of the system are reduced. The fixed point on each period is calculated by averaging theory.