Chaotic and periodic bursting phenomena in a memristive Wien-bridge oscillator

Bursting, an important communication activity in biological neurons and endocrine cells, has been widely found in fast-slow dynamical systems. In this paper, a modified second-order generalized memristor, memristive diode bridge cascaded with LC network, is presented and its fingerprints of the pinched hysteresis loops are analyzed. By replacing the parallel resistor with the modified generalized memristor, a novel memristive Wien-bridge oscillator is constructed and its mathematical model is established, from which the dynamical behaviors of symmetric chaotic and periodic bursting oscillations are observed and the corresponding bifurcation mechanisms are explained. Based on a hardware realization circuit, experimental observations are performed, which verify the numerical simulations.