Implementation of a Hyperchaotic System with Hidden Attractors into a Microcontroller

Implementation of a Hyperchaotic System with Hidden Attractors into a Microcontroller

In this work, the implementation of a hyperchaotic oscillator by using a microcontroller is proposed. The dynamical system, which is used, belongs to the recently new proposed category of dynamical systems with hidden attractors. By programming the microcontroller, the three most useful tools of non...

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Main Authors: Giakoumis Angelos E., Volos Christos K., Stouboulos Ioannis N., Kyprianidis Ioannis K.
Format: Article
Language:English
Published: EDP Sciences 2016-01-01
Series:MATEC Web of Conferences
Online Access:http://dx.doi.org/10.1051/matecconf/20167602048
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spelling doaj-8dff3f9043dc4aef9b1f31e52c103bb72021-02-02T03:50:15ZengEDP SciencesMATEC Web of Conferences2261-236X2016-01-01760204810.1051/matecconf/20167602048matecconf_cscc2016_02048Implementation of a Hyperchaotic System with Hidden Attractors into a MicrocontrollerGiakoumis Angelos E.Volos Christos K.Stouboulos Ioannis N.Kyprianidis Ioannis K.In this work, the implementation of a hyperchaotic oscillator by using a microcontroller is proposed. The dynamical system, which is used, belongs to the recently new proposed category of dynamical systems with hidden attractors. By programming the microcontroller, the three most useful tools of nonlinear theory, the phase portrait, the Poincaré map and the bifurcation diagram can be produced. The comparison of these with the respective simulation results, which are produced by solving the continuous dynamical system with Runge-Kutta, verified the feasibility of the proposed method. The algorithms could be easily modified to add or substitute the hyperchaotic system.http://dx.doi.org/10.1051/matecconf/20167602048
collection DOAJ
language English
format Article
sources DOAJ
author Giakoumis Angelos E.
Volos Christos K.
Stouboulos Ioannis N.
Kyprianidis Ioannis K.
spellingShingle Giakoumis Angelos E.
Volos Christos K.
Stouboulos Ioannis N.
Kyprianidis Ioannis K.
Implementation of a Hyperchaotic System with Hidden Attractors into a Microcontroller
MATEC Web of Conferences
author_facet Giakoumis Angelos E.
Volos Christos K.
Stouboulos Ioannis N.
Kyprianidis Ioannis K.
author_sort Giakoumis Angelos E.
title Implementation of a Hyperchaotic System with Hidden Attractors into a Microcontroller
title_short Implementation of a Hyperchaotic System with Hidden Attractors into a Microcontroller
title_full Implementation of a Hyperchaotic System with Hidden Attractors into a Microcontroller
title_fullStr Implementation of a Hyperchaotic System with Hidden Attractors into a Microcontroller
title_full_unstemmed Implementation of a Hyperchaotic System with Hidden Attractors into a Microcontroller
title_sort implementation of a hyperchaotic system with hidden attractors into a microcontroller
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2016-01-01
description In this work, the implementation of a hyperchaotic oscillator by using a microcontroller is proposed. The dynamical system, which is used, belongs to the recently new proposed category of dynamical systems with hidden attractors. By programming the microcontroller, the three most useful tools of nonlinear theory, the phase portrait, the Poincaré map and the bifurcation diagram can be produced. The comparison of these with the respective simulation results, which are produced by solving the continuous dynamical system with Runge-Kutta, verified the feasibility of the proposed method. The algorithms could be easily modified to add or substitute the hyperchaotic system.
url http://dx.doi.org/10.1051/matecconf/20167602048
work_keys_str_mv AT giakoumisangelose implementationofahyperchaoticsystemwithhiddenattractorsintoamicrocontroller
AT voloschristosk implementationofahyperchaoticsystemwithhiddenattractorsintoamicrocontroller
AT stouboulosioannisn implementationofahyperchaoticsystemwithhiddenattractorsintoamicrocontroller
AT kyprianidisioannisk implementationofahyperchaoticsystemwithhiddenattractorsintoamicrocontroller
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