A Synthetic Inductor Implementation of Chua's Circuit
نویسندگان
چکیده
We show how to build an inductorless version of the classic Chua’s circuit. The goal is to build Chua’s circuit quickly and easily. To this end, only off-the-shelf components are used. A suitable inductor for Chua’s circuit is often hard to procure. Here, the inductor is replaced by a single op-amp synthetic inductor circuit. The synthetic inductor is novel in the sense that it is not a gyrator, it is a one port device and thus a simple blackbox analogy to an inductor is possible. We illustrate the robustness of the synthetic inductor by synthesizing two different inductor values.
منابع مشابه
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
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, NR in Chua’s circuit. The main idea in the second approach related to the implementation of the circuit is an inductorl...
متن کاملRobust Op Amp Realization of Chua's Circuit
Chua's circuit is a simple electronic network which exhibits a variety of bifurcation phenomena and attractors. The circuit consists of two capacitors, an inductor, a linear resistor, and a nonlinear resistor. This paper describes the design methodology for a robust practical op amp implementation of Chua's circuit. In addition, we present experimental results and SPICE simulations for a workin...
متن کاملA new high frequency realization of Chua’s chaotic circuit using current feedback operational amplifiers (CFOA’s)
A new implementation of Chua’s chaotic circuit using current feedback operational amplifier (CFOAs) and giving high frequency oscillations is presented. Both the circuit topologies based on CFOA’S i.e. CFOA based nonlinear resistor and CFOA based synthetic inductor are used together The new circuit is operated at high frequencies in which the CFOAs have excellent performance. The workability of...
متن کاملChua's circuit decomposition: a systematic design approach for chaotic oscillators
The fact that Chua's circuit can be physically decomposed into a sinusoidal oscillator coupled to an active voltage-controlled nonlinear resistor is demonstrated. The sinusoidal oscillator is the beating heart of Chua's circuit and many novel implementations can be obtained by using di!erent sinusoidal oscillator engines. In particular, inductorless realizations can be derived not by replacing ...
متن کاملGeneric RC realizations of Chua's Circuit
Since its discovery, Chua’s circuit has served as the main prototype circuit for studying chaos in electronic systems [Matsumoto, 1984]. Several realizations of this circuit have been introduced in the literature [Cruz & Chua, 1992; Kennedy, 1992, 1995; Rodriguez-Vazquez & Delgado-Restituto, 1993; Zhong, 1994; Morgul, 1995; Elwakil & Kennedy, 1999a, 1999b, 2000]. These various implementations w...
متن کامل