Subcritical Andronov–Hopf scenario for systems with a line of equilibria

Using numerical simulation methods and analytical approaches, we demonstrate hard self-oscillation excitation in systems with infinitely many equilibrium points forming a line of equilibria the phase space. The studied bifurcation phenomena are equivalent to scenario via subcritical Andronov–Hopf observed classical self-oscillators isolated points. hysteresis bistability accompanying discussed processes shown explained. research is carried out on an example nonlinear memristor-based self-oscillator model. First, simpler model including Chua’s memristor piecewise-smooth characteristic explored. Then, changed function being smooth everywhere. Finally, action forgetting effect taken into consideration.