Dynamics analysis of memristor chaotic circuit with coexisting hidden attractors

Hidden attractors have garnered significant attention in physics and other dynamical areas recently. This paper introduces a novel cubic nonlinear magnetic control model, derived from the analysis of measured data from Sr_0.97Ba_0.03Ti O_3-δ memristor. A single-memory fifth-order chaotic circuit was designed based on the SBT memristor, in which coexisting hidden attractors were generated. Equilibrium points and their stability within the circuit system are meticulously examined using the Jacobi matrix method. Furthermore, the impact of initial states and circuit parameters on the system is explored through various analytical techniques including Lyapunov exponents spectra and bifurcation diagrams. The findings illustrate that the chaotic circuits can manifest intricate dynamic behaviors such as chaos and multistability by varying the initial state and circuit parameters, especially the dynamical phenomena such as coexisting attractors have been discovered. These investigations hold significant implications for engineering applications.