Conditional symmetry of symmetric systems with hidden attractors

Based on a symmetric system, a new conditionally symmetric chaotic system with hidden attractor is proposed. The dynamic behavior is analyzed by Lyapunov exponent, phase trajectory and bifurcation, its dynamic properties support periodicity and chaotic when certain parameters change. The polarity can be adjusted and controlled by introducing tangent function. In addition, the influence of tangent function on the amplitude and chaos complexity of the system was studie. One interesting thing is that the system has transient chaos and state transition characteristics. At last we designed the conditional symmetric circuit and rifled it by Pspice.