Coexistence of periodic and strange attractor in a memristive band pass filter circuit with amplitude control

摘要

By replacing the cubic voltage-controlled memristor emulator with the quadratic one in an existing memristive band pass filter (BPF) chaotic circuit, a modified memristive BPF circuit with two asymmetric equilibria is proposed. A dimensionless model is used to analyse the fundamental properties. The nonlinear techniques including phase portraits, bifurcation diagrams, Lyapunov exponents, Poincare sections, and attraction basins are used to analyse the complex dynamics. The striking feature is that this system exhibits the bi-stability phenomenon of coexisting periodic and strange attractors with adjustable amplitudes. The results of theoretical analysis are effectively verified by numerical simulations and hardware experiments.