Analysis of a 4th-Order Autonomous Chaotic Circuit with an Active Memristive Diode Bridge

Leon Chua's introduction of the memristor in 1971 sparked a growth in research, yet challenges in nanoscale manufacturing prompted the development of emulators. This paper explores the dynamical behavior of a simple analog circuit that contains a memristor emulator as a non-linear element. More specifically, a second-order active memristive diode bridge with an LC filter is employed, along with a modified circuit of the Vilnius chaotic oscillator. Nonlinear techniques, such as bifurcation and continuation diagrams, Lyapunov spectrum diagrams, and phase portraits, were utilized to analyze the dynamic characteristics of the circuit. The findings uncovered a range of captivating phenomena associated with chaos theory, including periodic, quasiperiodic, and chaotic orbits, the mechanism of period doubling route to chaos, coexisting attractors, and crisis phenomena.