Experimental dynamical characterization of five autonomous chaotic oscillators with tunable series resistance

Ludovico Minati

Research output: Contribution to journalArticle

Abstract

In this paper, an experimental characterization of the dynamical properties of five autonomous chaotic oscillators, based on bipolar-junction transistors and obtained de-novo through a genetic algorithm in a previous study, is presented. In these circuits, a variable resistor connected in series to the DC voltage source acts as control parameter, for a range of which the largest Lyapunov exponent, correlation dimension, approximate entropy, and amplitude variance asymmetry are calculated, alongside bifurcation diagrams and spectrograms. Numerical simulations are compared to experimental measurements. The oscillators can generate a considerable variety of regular and chaotic sine-like and spike-like signals.

Original languageEnglish
Article number033110
JournalChaos (Woodbury, N.Y.)
Volume24
Issue number3
DOIs
Publication statusPublished - Sep 1 2014

Fingerprint

Chaotic Oscillator
Bipolar transistors
Resistors
Entropy
Genetic algorithms
oscillators
Approximate Entropy
junction transistors
Spectrogram
Largest Lyapunov Exponent
Correlation Dimension
Series
spectrograms
Networks (circuits)
Computer simulation
Electric potential
Bifurcation Diagram
bipolar transistors
Spike
spikes

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Experimental dynamical characterization of five autonomous chaotic oscillators with tunable series resistance. / Minati, Ludovico.

In: Chaos (Woodbury, N.Y.), Vol. 24, No. 3, 033110, 01.09.2014.

Research output: Contribution to journalArticle

@article{fda2b20d0b8a4d59b2864e848bc1c865,
title = "Experimental dynamical characterization of five autonomous chaotic oscillators with tunable series resistance",
abstract = "In this paper, an experimental characterization of the dynamical properties of five autonomous chaotic oscillators, based on bipolar-junction transistors and obtained de-novo through a genetic algorithm in a previous study, is presented. In these circuits, a variable resistor connected in series to the DC voltage source acts as control parameter, for a range of which the largest Lyapunov exponent, correlation dimension, approximate entropy, and amplitude variance asymmetry are calculated, alongside bifurcation diagrams and spectrograms. Numerical simulations are compared to experimental measurements. The oscillators can generate a considerable variety of regular and chaotic sine-like and spike-like signals.",
author = "Ludovico Minati",
year = "2014",
month = "9",
day = "1",
doi = "10.1063/1.4890530",
language = "English",
volume = "24",
journal = "Chaos",
issn = "1054-1500",
publisher = "American Institute of Physics Inc.",
number = "3",

}

TY - JOUR

T1 - Experimental dynamical characterization of five autonomous chaotic oscillators with tunable series resistance

AU - Minati, Ludovico

PY - 2014/9/1

Y1 - 2014/9/1

N2 - In this paper, an experimental characterization of the dynamical properties of five autonomous chaotic oscillators, based on bipolar-junction transistors and obtained de-novo through a genetic algorithm in a previous study, is presented. In these circuits, a variable resistor connected in series to the DC voltage source acts as control parameter, for a range of which the largest Lyapunov exponent, correlation dimension, approximate entropy, and amplitude variance asymmetry are calculated, alongside bifurcation diagrams and spectrograms. Numerical simulations are compared to experimental measurements. The oscillators can generate a considerable variety of regular and chaotic sine-like and spike-like signals.

AB - In this paper, an experimental characterization of the dynamical properties of five autonomous chaotic oscillators, based on bipolar-junction transistors and obtained de-novo through a genetic algorithm in a previous study, is presented. In these circuits, a variable resistor connected in series to the DC voltage source acts as control parameter, for a range of which the largest Lyapunov exponent, correlation dimension, approximate entropy, and amplitude variance asymmetry are calculated, alongside bifurcation diagrams and spectrograms. Numerical simulations are compared to experimental measurements. The oscillators can generate a considerable variety of regular and chaotic sine-like and spike-like signals.

UR - http://www.scopus.com/inward/record.url?scp=84910062029&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84910062029&partnerID=8YFLogxK

U2 - 10.1063/1.4890530

DO - 10.1063/1.4890530

M3 - Article

AN - SCOPUS:84910062029

VL - 24

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 3

M1 - 033110

ER -