A memristive chaotic system with two dimensional offset boosting and extreme multistability

Abstract

Due to its unique nonlinearity and memory characteristics, memristor is considered one of the most promising partners for designing chaotic systems. In this paper, a memristor is introduced into a nonlinear system to produce complex dynamical behaviors. Symmetric extremely multistability induced by the initial condition of the memristor is observed in the asymmetric system. Attractors are arranged in the phase space by two independent offset boosters, strength cancellation gives birth to various offset boosting patterns. The effective action of the offset controller is reflected in the linear growth of the mean values and the linear shift of the signal diagrams. Moreover, the circuit implementation based on Multisim demonstrates consistency with numerical simulations and theoretical analyses. Finally, the Pseudorandom Number Generator (PRNG), tested through NIST, is developed to validate its high performance in engineering applications.