Antimonotonicity, chaos and multiple coexisting attractors in a simple hybrid diode-based jerk circuit

Abstract

This paper focuses on the dynamics of a modified jerk circuit obtained via replacing the diode bridge memristor in the original jerk circuit introduced in [24] with a first-order hybrid diode circuit. Both memristive diode bridge and first order hybrid diode are frequency dependent component even though the later device doesn't has a pinched hysteresis loop. The analysis is carried out in terms of bifurcation diagrams, graph of Lyapunov exponents, phase portraits, Poincaré section, time series and frequency spectra. The results indicate that, the new circuit exhibits rich dynamic behaviors including multiple coexisting self-excited attractors (e.g. coexistence of two, four or six disconnected periodic and chaotic attractors) and antimonotonicity (i.e. concurrent creation and annihilation of periodic orbits) compared to the original memrisitve jerk circuit. Basins of attraction of various coexisting attractors display extremely complex structures thus justifying jumps between coexisting attractors in experiment. Both PSpice simulations and laboratory experimental measurements are carried out to support the theoretical analyses.