Chaotic Oscillators as Inductive Sensors: Theory and Practice

Каримов, Тимур; Nepomuceno, Erivelton G.; Druzhina, Olga; Каримов, А.; Butusov, Denis N.

doi:10.3390/s19194314

Cited by 29 publications

(21 citation statements)

References 15 publications

(30 reference statements)

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“…Following this approach, only three basic building blocks are necessary: inverting integrators, differential amplifiers, and two ports with the prescribed nonlinear transfer curve. These circuits can be designed either in voltage mode [38,39] or current mode [40]. The first case is much more common because of the commercial availability of active elements and easily measurable state variables.…”

Section: Circuit Designmentioning

confidence: 99%

Generalized Single Stage Class C Amplifier: Analysis from the Viewpoint of Chaotic Behavior

Petržela

2020

Applied Sciences

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This paper briefly describes a recent discovery that occurred during the study of the simplest mathematical model of a class C amplifier with a bipolar transistor. It is proved both numerically and experimentally that chaos can be observed in this simple network structure under three conditions: (1) the transistor is considered non-unilateral, (2) bias point provides cubic polynomial feedforward and feedback transconductance, and (3) the LC tank has very high resonant frequency. Moreover, chaos is generated by an autonomous class C amplifier; i.e., an isolated system without a driving force is analyzed. By the connection of a harmonic input signal, much more complex behavior can be observed. Additionally, due to the high degree of generalization of the amplifier cell, similar fundamental circuits can be ordinarily found as subparts of typical building blocks of a radio frequency signal path.

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Section: Circuit Designmentioning

confidence: 99%

Generalized Single Stage Class C Amplifier: Analysis from the Viewpoint of Chaotic Behavior

Petržela

2020

Applied Sciences

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“…Chaos theory has been studied and used by several authors over time, and it is possible to find its application in different areas; for example, chaotic oscillators as a form of inductive sensors [ 47 ] or analysing the influence of external effects, such as temperature, on chaotic circuits physically implemented [ 48 ]. The study of chaos is also widely applied in the analysis of the effect of arithmetic computation in simulations of nonlinear dynamic systems, in which it is possible to find works such as those by [ 49 ], in which the authors analysed aspects of computational arithmetic, and their finite precision, in three types of dynamic systems.…”

Section: Related Workmentioning

confidence: 99%

A Note on the Reproducibility of Chaos Simulation

Nazare

Nepomuceno

Martins

et al. 2020

Entropy

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An evergreen scientific feature is the ability for scientific works to be reproduced. Since chaotic systems are so hard to understand analytically, numerical simulations assume a key role in their investigation. Such simulations have been considered as reproducible in many works. However, few studies have focused on the effects of the finite precision of computers on the simulation reproducibility of chaotic systems; moreover, code sharing and details on how to reproduce simulation results are not present in many investigations. In this work, a case study of reproducibility is presented in the simulation of a chaotic jerk circuit, using the software LTspice. We also employ the OSF platform to share the project associated with this paper. Tests performed with LTspice XVII on four different computers show the difficulties of simulation reproducibility by this software. We compare these results with experimental data using a normalised root mean square error in order to identify the computer with the highest prediction horizon. We also calculate the entropy of the signals to check differences among computer simulations and the practical experiment. The methodology developed is efficient in identifying the computer with better performance, which allows applying it to other cases in the literature. This investigation is fully described and available on the OSF platform.

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“…In recent years, the effect of a time-varying magnetic field on systems with chaotic dynamics has attracted considerable attention [5][6][7][8][9]. Recently, Chua's circuit [10] operating in a chaotic regime was used to experimentally present the stochastic resonance phenomenon for a weak periodic magnetic field signal [5], and the dynamic behavior of two Chua's circuits coupled by the effect of mutual inductance has been reported [6].…”

Section: Introductionmentioning

confidence: 99%

Biomimetic Chaotic Sensor for Moderate Static Magnetic Field

Korneta

Gomes

Picos

et al. 2021

Sensors

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The effects of a static magnetic field on systems with chaotic dynamical behavior have attracted little attention so far. Here, Chua’s electronic circuit with an inductor placed in a static uniform magnetic field operating in a chaotic double-scroll regime is studied experimentally. The effect of the magnetic field on the duty cycle factor and the spike count rate, with spikes defined by crossings between the scrolls of the double-scroll attractor, is described. A slow monotonic variation in the duty cycle factor and constant spike count rate is observed for magnetic field intensities up to the threshold, where both these metrics change severely; the dynamic trajectory remains on one scroll and spikes disappear. The dependence of the static magnetic field intensity on Chua’s circuit resistivity at the threshold is given. Two biomimetic magnetic chaotic sensors are proposed: one based on one Chua’s circuit and another that can have various transfer functions and is composed of several independent Chua’s circuits.

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Chaotic Oscillators as Inductive Sensors: Theory and Practice

Cited by 29 publications

References 15 publications

Generalized Single Stage Class C Amplifier: Analysis from the Viewpoint of Chaotic Behavior

Generalized Single Stage Class C Amplifier: Analysis from the Viewpoint of Chaotic Behavior

A Note on the Reproducibility of Chaos Simulation

Biomimetic Chaotic Sensor for Moderate Static Magnetic Field

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