Coexisting Attractors in a New Smooth Inductorless Chua’s Circuit

Abstract

The inductorless design method can facilitate experiment debugging and even engineering applications for various circuits. By introducing active diode pair as Chua's diode, a new smooth inductorless Chua's circuit is proposed based on a band pass filter with second order Sallen-Key topology. The dynamical analyses for this circuit are numerically carried out by use of bifurcation diagrams, Lyapunov exponent spectra and phase portraits. The results of numerical simulations and further circuit simulations reveal that this new circuit has rich dynamic behaviors of coexisting periodic attractors, coexisting single-scroll chaotic attractors, double-scroll chaotic attractor, periodic windows, boundary crisis and coexisting period-doubling bifurcation modes. This new circuit model and the corresponding research results enrich our understanding to Chua's circuit.