A Meminductor-based Chaotic System

  • Aixue Qi NanJing University of Aeronautics and Astronautics
  • Lei Ding Binzhou University
  • Wenbo Liu NanJing University of Aeronautics and Astronautics
Keywords: Chaotic system; meminductor; coexisting attractor; meminductor-based circuit; Dynamic analysis


We propose a meminductor-based chaotic system. Theoretical analysis and numerical simulations reveal complex dynamical behaviors of the proposed meminductor-based chaotic system with five unstable equilibrium points and three different states of chaotic attractors in its phase trajectory with only a single change in circuit parameter. Lyapunov exponents, bifurcation diagrams, and phase portraits are used to investigate its complex chaotic and multi-stability behaviors, including its coexisting chaotic, periodic and point attractors. The proposed meminductor-based chaotic system was implemented using analog integrators, inverters, summers, and multipliers. PSPICE simulation results verified different chaotic characteristics of the proposed circuit with a single change in a resistor value.