Search

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]

In order to obtain more complex nonlinear characteristics, two memristive models were introduced into the Wien-bridge circuit, and a Wein-bridge chaotic circuit based on dual memristors was proposed. When analyzing the local stability of the circuit system, it is found that the stability of the system cannot be determined solely by the nonzero characteristic root. When studying the dynamic characteristics of the system with circuit parameters (such as Lyapunov exponent, bifurcation diagram and phase orbit diagram, etc.), the system exhibits complex dynamic behaviors, with double vortex chaotic attractors and coexistence bifurcation phenomenon. The hardware experiments of the system's dynamic characteristics are verified, and the results are in line with expectations, which can provide a reference for the study of memristive chaotic circuits. [ABSTRACT FROM AUTHOR]

In this paper a modified third order Wien bridge oscillator with fractional order memristor is proposed. Various dynamical properties of the proposed oscillator are investigated such as equilibrium points, Eigenvalues, Lyapunov exponents and bifurcation diagrams. The Lyapunov spectrum of the system for various values of fractional order is derived. Using forward and backward continuation methods of plotting bifurcation diagram, the multistability of the oscillator is investigated. The proposed oscillator is realized using Field Programmable Gate Arrays and the experiment is conducted using hardware-software co-simulation. [ABSTRACT FROM AUTHOR]

• A hyperchaotic circuit which contains an active flux-controlled memristor that is characterized with a smooth continuous cubic nonlinearity is introduced. • The dynamics of the proposed chaotic system are examined by obtaining the stability of equilibrium points, Lyapunov exponents, chaotic attractors and bifurcation diagrams. • The advantage of the proposed chaotic system over the existing models in the literature is that this circuit has non-clipping amplitude behavior and simplified circuit implementation. • The results of the real-time implemented circuit are consistent with the results of the circuit simulation generated in LTspice. The theoretical, simulation and real-time analysis clearly demonstrate that the presented hyperchaotic memristive circuit based on Wien bridge oscillator has rich chaotic dynamical characteristics. In this paper, a hyperchaotic memristive circuit that is based on a Wien bridge oscillator structure is introduced. The circuit contains an active flux-controlled memristor that is characterized with a smooth continuous cubic nonlinearity. Firstly, a floating implementation of the memristor is used in order to show the flexibility of the element and consequently, a typical application example is analyzed by employing it as the nonlinear element in Chua circuit. Later, the simulation and the experimental realization of the hyperchaotic memristive circuit are performed, resulting in a consistent match between them. Moreover, the dynamics of the proposed hyperchaotic system are theoretically examined in detail. When compared to similar work in the literature, the proposed hyperchaotic system demonstrates clear improvements such as non-clipping amplitude behavior and simplified circuit implementation along with rich chaotic dynamics. The proposed circuit can further be implemented for chaotic encryption, communication systems and synchronous control applications. Image, graphical abstract [ABSTRACT FROM AUTHOR]