Complex Dynamics of a Memristor Based Chua’s Canonical Circuit
نویسندگان
چکیده
In this paper the complex dynamics of Chua’s canonical circuit with a memristor instead of a nonlinear resistor, was studied. The proposed memristor is a flux controlled memristor, where the relation between flux and charge is a smooth continuous cubic function. A very important phenomenon concerning Chaos theory, such us, the great sensitivity of the circuit on initial conditions, was studied thoroughly by using various techniques via computer simulations. Key-Words: Memristor, nonlinear circuit, Chua’s canonical circuit, sensitivity on initial conditions, bifurcation diagram.
منابع مشابه
A Memristive Diode Bridge-Based Canonical Chua's Circuit
A novel memristor circuit is presented, which is generated from the canonical Chua’s circuit by replacing the Chua’s diode with a first order memristive diode bridge. The circuit dynamical characteristics with the variations of circuit parameters are investigated both theoretically and numerically. It can be found that the circuit has three determined equilibrium points, including a zero saddle...
متن کاملMemristors: A New Approach in Nonlinear Circuits Design
The conception of memristor as the fourth fundamental component in circuit theory, creates a new approach in nonlinear circuit design. In this paper the complex dynamics of Chua’s canonical circuit implemented by using a memristor instead of the nonlinear resistor, was studied. The proposed memristor is a flux-controlled one, described by the function W(φ) = dq(φ) dφ , where q(φ) is a cubic fun...
متن کاملDynamics and Synchronization of Memristor-Based Fractional-Order System
A memristor-based fractional order circuit derived from Chua’s topology is presented. The dynamic properties of this circuit such as phase trajectories, time evolution characteristics of state variables are analyzed through the approximation method of fractional order operator. In addition, it clearly describes the relationships between the impedance variation of the memristor and the varying m...
متن کاملMemristor Based Chaotic Circuits
In this work, we present two memristor based chaotic circuits. These circuits are obtained by replacing the nonlinear resistor in the four element Chua’s circuit with a memristor. Hence, these chaotic circuits use only the four basic circuit elements. Moreover, one of these circuits has only one negative element in addition to the nonlinearity. The four element Chua’s circuit requires two negat...
متن کاملMATLAB Implementation of Memristorbased Chua’s Circuit and its Chaos Control
Abstract—Recently, there has been an extensive interest in research on the analysis and control of chaotic behaviour in nonlinear systems. Various control problems can be defined for such systems, such as targeting the trajectories to a desired point, stabilizing unstable periodic orbits etc. In this paper, necessity of Chaos control in Memristor based circuit is discussed. A MATLAB Simulink mo...
متن کامل