Chaotic Phenomena in a Simple 3D Autonomous Circuit with a Diode Pair

Abstract

The simple 3D-chaotic dynamics of an autonomous oscillator circuit was studied by measuring its responsible in the form of phase-portrait, power spectrum and chaotic time series. The new realization combines attractive features of the current feedback op-amp operating in both voltage and current modes to construct the active linear negative conductance. The component count is reduced and the chaotic spectrum is extended to higher frequencies. In addition, a buered and isolated voltage output directly representing a state variable is made available. The circuit consists of just three linear elements (two capacitors and one inductor), one linear negative conductance and two ideal diodes. The power spectra are presented to conrm the strong chaotic nature of the oscillations of the circuit. The performance of the circuit is investigated by means of experimental simulation and numerical conrmation of the appropriate dierential equations. The features of the obtained results are respected for various engineering systems such as chaos communication systems with robustness against various interferences.

Electronically Tunable 3D Autonomous Chaotic Oscillator Employing Single CCCFA and Its Extension to 4D

“…Topologies [39,40,45] employ one ABB and possess smooth symmetrical nonlinearity, however, [39] is controllable through L and does not have bifurcation parameter R, [40] uses excessive resistors and [45] use 2R and two ICs for practical implementation. In [46], the formation of different attractors is through variation in C and L, which is not desirable; moreover, electronic tuneability is not possible, and the advanced multistability phenomenon has also not been investigated.…”

“…Therefore, because of the simplest chaotic oscillator circuit design with smooth symmetric nonlinearity, the literature [13, 39-41, 42, 43, 44] illustrated the use of two antiparallelly connected diodes generating sin-hyperbolic like smooth symmetric nonlinearity. The chaotic oscillator in [39] uses one CFOA, two capacitors, one inductor, one resistor, and two diodes, whereas the circuit in [40] uses one Op-Amp, two capacitors, one inductor, three resistors, and two diodes. The chaotic oscillator in [41] uses one Op-Amp, two capacitors, one inductor, one resistor, and two diodes.…”

Simplified Chua's attractor via bridging a diode pair

“…Therefore a natural extension is to simplify the physical implement of Chua's circuit, on which Chua's attractors can be maintained to generate. Recently, Srisuchinwong and Munmuangsaen [5] demonstrated a four current tunable chaotic oscillators in set of two diode reversible pairs and Kandiban et al [6] proposed a simple three‐dimensional autonomous circuit with a diode pair, in which the physical circuits are achieved for simplified Chua's circuit. In this paper, a simplified Chua's circuit is proposed, which is realised by bridging a diode pair between a passive LC oscillator and an active RC filter.…”