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Analysis of memristive chaotic system with conditional symmetry and offset boosting

In this paper, memristor chaotic systems with bias enhancement are studied, including voltage bias, sine function of one dimensional bias, two dimensional bias, conditional symmetry and amplitude adjustment. First, the absolute value function was added into the bias boost system, and three different bias are constructed. The influence of bias parameters on the system output polarity was analyzed. Then the memristor system with conditional symmetry was constructed by introducing absolute value functions satisfying F(x + h) = -F (x). The influence of conditional symmetry on the system was studied, and the multi-stability of conditional symmetry system is proved by analyzing bifurcation diagrams and Lyapunov exponents of each parameter under different initial conditions. Finally, by scaling y and z, the system has the amplitude adjustment characteristic, and qualitatively analyzes the influence of scaling parameter f on each output variable.