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Title: Chaotic attractors with separated scrolls

Abstract

This paper proposes a new behavior of chaotic attractors with separated scrolls while combining Julia's process with Chua's attractor and Lorenz's attractor. The main motivation of this work is the ability to generate a set of separated scrolls with different behaviors, which in turn allows us to choose one or many scrolls combined with modulation (amplitude and frequency) for secure communication or synchronization. This set seems a new class of hyperchaos because each element of this set looks like a simple chaotic attractor with one positive Lyapunov exponent, so the cardinal of this set is greater than one. This new approach could be used to generate more general higher-dimensional hyperchaotic attractor for more potential application. Numerical simulations are given to show the effectiveness of the proposed theoretical results.

Authors:
 [1]
  1. Department of Electrical Engineering, Higher Institute of Applied Sciences and Technology of Sousse, Sousse (Tunisia)
Publication Date:
OSTI Identifier:
22483216
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 25; Journal Issue: 7; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; ATTRACTORS; CHAOS THEORY; COMMUNICATIONS; COMPUTERIZED SIMULATION; LYAPUNOV METHOD; MODULATION; POTENTIALS; SYNCHRONIZATION

Citation Formats

Bouallegue, Kais, E-mail: kais-bouallegue@yahoo.fr. Chaotic attractors with separated scrolls. United States: N. p., 2015. Web. doi:10.1063/1.4923302.
Bouallegue, Kais, E-mail: kais-bouallegue@yahoo.fr. Chaotic attractors with separated scrolls. United States. doi:10.1063/1.4923302.
Bouallegue, Kais, E-mail: kais-bouallegue@yahoo.fr. Wed . "Chaotic attractors with separated scrolls". United States. doi:10.1063/1.4923302.
@article{osti_22483216,
title = {Chaotic attractors with separated scrolls},
author = {Bouallegue, Kais, E-mail: kais-bouallegue@yahoo.fr},
abstractNote = {This paper proposes a new behavior of chaotic attractors with separated scrolls while combining Julia's process with Chua's attractor and Lorenz's attractor. The main motivation of this work is the ability to generate a set of separated scrolls with different behaviors, which in turn allows us to choose one or many scrolls combined with modulation (amplitude and frequency) for secure communication or synchronization. This set seems a new class of hyperchaos because each element of this set looks like a simple chaotic attractor with one positive Lyapunov exponent, so the cardinal of this set is greater than one. This new approach could be used to generate more general higher-dimensional hyperchaotic attractor for more potential application. Numerical simulations are given to show the effectiveness of the proposed theoretical results.},
doi = {10.1063/1.4923302},
journal = {Chaos (Woodbury, N. Y.)},
number = 7,
volume = 25,
place = {United States},
year = {Wed Jul 15 00:00:00 EDT 2015},
month = {Wed Jul 15 00:00:00 EDT 2015}
}
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