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This paper proposes a novel jerk circuit obtained by using an alternative nonlinear bipole component of inductor and diode in parallel. The circuit is described by five differential equations and investigated by the stability analysis, equilibria points, Kaplan–Yorke dimension, phase portraits, Lyapunov characteristic exponent estimation, bifurcation diagram and the 0–1 test chaos detection. The control parameter is adopted by varying the inductor L value, this system can display periodic orbit, quasi-periodic orbit and chaotic behavior. The dynamic influence of transit diode capacitance is done and this confirms the robustness of the system to noise influence. The validity of the numerical simulations is experimentally realized through the phase portraits of the circuit. Finally, the synchronization of the systems is studied and time simulation results are presented. [ABSTRACT FROM AUTHOR]

By diode bridging an inductor to implement a memristor bipole, with active Wien-bridge oscillator, a simple and feasible third-order autonomous memristive chaotic oscillator is presented. The dynamical characteristics of the proposed circuit are investigated both theoretically and numerically, from which it can be found that the circuit has one unstable equilibrium point. Through the analysis of the bifurcation diagram, Lyapunov exponent spectrum and the 0–1 test chaos detection, it is shown that this system displays limit cycle orbit with different periodicity, quasi-periodic behavior, chaotic behavior and bursting behavior. The bursting behavior found in this circuit is periodic, quasi-periodic and chaotic bursting. We confirm the feasibility of the proposed theoretical model using Pspice simulations and a physical realization based on an electronic analog implementation of the model. [ABSTRACT FROM AUTHOR]