Improved Realization of Mixed-Mode Chaotic Circuit

Abstract

An improved realization of mixed-mode chaotic circuit which has both autonomous and nonautonomous chaotic dynamics is proposed. Central to this study is inductorless realization of mixed-mode chaotic circuit using FTFN-based inductance simulator. FTFN-based topology used in this realization enables the simulation of ideal floating and grounded inductance. This modification provides an alternative solution to the integration problem of not only mixed-mode chaotic circuit but also other chaotic circuits in the literature using CMOS VLSI technologies. In addition to this major improvement, CFOA-based nonlinear resistor was used in the new realization of mixed-mode chaotic circuit. The usage of CFOA-based nonlinear resistor in the circuit's structure reduces the component count and provides buffered and isolated output.

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

“…Furthermore, the internal resistance of the inductor can compromise the correct operation of the circuit. 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].…”

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

“…While in Torres and Aguirre's [2000] op amp-based design for simulating the inductor in Chua's circuit, the third state variable (the inductor current i L in Chua's circuit) cannot be determined in a direct manner, in Senani and Gupta's design, the inductor current i L is available directly as a current output. Recently, we introduced an alternative inductance simulator topology based on a four terminal floating nullor (FTFN) for inductorless realization of Chua's circuit and other chaotic oscillators such as the mixed-mode chaotic circuit [Kiliç et al, 2002] which contains both a grounded and a floating inductor element. The FTFN-based inductance simulator, shown in Fig.…”

“…10 were determined as R 1 = R 2 = R 4 = 100 Ω, R 3 = 200 Ω, C 2 = C 3 = 220 nF and C 1 = 2.2 nF. [Kennedy, 1992] synthetic inductor [Senani & Gupta, 1998] Hybrid-II Realization Elwakil and Kennedy's CFOA-based Senani and Gupta's CFOA-based synthetic nonlinear resistor [Elwakil & Kennedy, 2000] inductor [Senani & Gupta, 1998] Hybrid-III Realization Kennedy's VOA-based nonlinear FTFN-based inductance simulator resistor [Kennedy, 1992] [ Kiliç et al, 2002] Hybrid-IV Realization Elwakil and Kennedy's CFOA-based FTFN-based inductance simulator nonlinear resistor [Elwakil & Kennedy, 2000] [ Kiliç et al, 2002].…”

“…The inductance simulators used in such realizations are generally based on circuit elements such as op amps [Torres & Aguirre, 2000] and OTAs [Cruz & Chua, 1993;RodriguezVazquez & Delgado-Restituto, 1993]. Recently, a CFOA-based synthetic inductor [Senani & Gupta, 1998] and an FTFN-based inductance simulator [Kiliç et al, 2002] have been proposed for an inductorless Chua's circuit and other chaotic circuits. In addition to using an inductance simulator for an inductorless Chua's circuit, another approach has been developed based on replacing the LC resonator of Chua's circuit with an RC configuration.…”

Ordered and Chaotic Phenomena in Two Coupled Forced LCR Oscillators Sharing a Common Nonlinearity

“…As an active research topic, it has also advanced significantly due to the many contributions of different researchers [Matsumoto, 1984;Kennedy, 1994;Saito & Nakagawa, 1996;Zhong & Ayron, 1985]. Further, the design of mixed mode chaotic circuit in which both autonomous and nonautonomous oscillators were combined using the switching method [Kilic, 2005] and application of such circuits for transmission of analog signals can also be studied [Kilic & Alic, 2001;Kilic et al, 2002]. In recent times, the studies on coupled chaotic systems have attracted many researchers' attention and as a consequence, following the most interesting Kaneko's coupled map lattice, many investigations such as the generation of spatial patterns, chaotic wandering of such patterns, etc., have been well-studied [Kaneko, 1993;Nishio & Ushida, 2002].…”