A Comparative Study on Realization of Chua's Circuit: Hybrid Realizations of Chua's Circuit Combining the Circuit Topologies Proposed for Chua's Diode and Inductor Elements

Abstract

Several realizations of Chua's circuit have been proposed in the literature. The methodologies used in these realizations can be divided into two basic categories. In the first approach, a variety of circuit topologies have been considered for realizing the nonlinear resistor, N R in Chua's circuit. The main idea in the second approach related to the implementation of the circuit is an inductorless realization of Chua's circuit. For this purpose, several circuit topologies serving as a synthetic inductor, i.e. inductance simulator, are used instead of the inductor element in Chua's circuit. In this study, after comparing the circuit topologies proposed for Chua's diode and the inductor element in the circuit, we will present six alternative hybrid realizations of Chua's circuit combining circuit topologies proposed for the nonlinear resistor and the inductor element in the literature. The PSpice simulation experiments confirm that the six alternative hybrid realizations of the circuit exhibit the original chaotic behavior of Chua's circuit.

An inductor-free realization of the Chua’s circuit based on electronic analogy

“…Many alternatives to replace the physical inductor in an implementation of a Chua's circuit have been presented in literature, such as the use of Wien-bridge [15] and inductance emulator circuits based on transistors [16], VOAs [17], CFOAs [12], OTAs [18,19] and FTFN [20]. A comparative investigation about the configurations of Chua's diode and inductance emulators, as well the combination of them to obtain an inductorless Chua's circuit, is presented in [21].…”

Experimental characterization of nonlinear systems: a real-time evaluation of the analogous Chua’s circuit behavior

“…There are several alternatives to implement the Chua's circuit, generally based in an electronic version of the Chua's diode combined with an inductor or an inductance emulator [10]. In this paper, the experimental characterization is realized using the analogous Chua's circuit, an inductor-free version that reproduces the dynamical behavior of the Chua's circuit with a remarkable similarity between theoretical simulations and the experimental results [7].…”

Untitled

“…Hence, the inductance simulator should be used to construct Chua's circuit instead of an ordinary inductor. [6][7][8] The equivalent circuit of the inductance simulator is shown in the left dashed box in Fig. 2, where R 1 = R 2 = R 3 = 1 kΩ, R 4 = 2.183 kΩ and C 5 = 10 nF.…”