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Title: Generation of 2N + 1-scroll existence in new three-dimensional chaos systems

Abstract

We propose a systematic methodology for creating 2N + 1-scroll chaotic attractors from a simple three-dimensional system, which is named as the translation chaotic system. It satisfies the condition a{sub 12}a{sub 21} = 0, while the Chua system satisfies a{sub 12}a{sub 21} > 0. In this paper, we also propose a successful (an effective) design and an analytical approach for constructing 2N + 1-scrolls, the translation transformation principle. Also, the dynamics properties of the system are studied in detail. MATLAB simulation results show very sophisticated dynamical behaviors and unique chaotic behaviors of the system. It provides a new approach for 2N + 1-scroll attractors. Finally, to explore the potential use in technological applications, a novel block circuit diagram is also designed for the hardware implementation of 1-, 3-, 5-, and 7-scroll attractors via switching the switches. Translation chaotic system has the merit of convenience and high sensitivity to initial values, emerging potentials in future engineering chaos design.

Authors:
; ; ;  [1]
  1. College of Electronic Science and Engineering, Jilin University, Changchun 130012 (China)
Publication Date:
OSTI Identifier:
22596615
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 26; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; ATTRACTORS; CHAOS THEORY; COMPUTERIZED SIMULATION; SWITCHES; THREE-DIMENSIONAL CALCULATIONS

Citation Formats

Liu, Yue, Guan, Jian, Ma, Chunyang, and Guo, Shuxu, E-mail: guosx@jlu.edu.cn. Generation of 2N + 1-scroll existence in new three-dimensional chaos systems. United States: N. p., 2016. Web. doi:10.1063/1.4958919.
Liu, Yue, Guan, Jian, Ma, Chunyang, & Guo, Shuxu, E-mail: guosx@jlu.edu.cn. Generation of 2N + 1-scroll existence in new three-dimensional chaos systems. United States. doi:10.1063/1.4958919.
Liu, Yue, Guan, Jian, Ma, Chunyang, and Guo, Shuxu, E-mail: guosx@jlu.edu.cn. Mon . "Generation of 2N + 1-scroll existence in new three-dimensional chaos systems". United States. doi:10.1063/1.4958919.
@article{osti_22596615,
title = {Generation of 2N + 1-scroll existence in new three-dimensional chaos systems},
author = {Liu, Yue and Guan, Jian and Ma, Chunyang and Guo, Shuxu, E-mail: guosx@jlu.edu.cn},
abstractNote = {We propose a systematic methodology for creating 2N + 1-scroll chaotic attractors from a simple three-dimensional system, which is named as the translation chaotic system. It satisfies the condition a{sub 12}a{sub 21} = 0, while the Chua system satisfies a{sub 12}a{sub 21} > 0. In this paper, we also propose a successful (an effective) design and an analytical approach for constructing 2N + 1-scrolls, the translation transformation principle. Also, the dynamics properties of the system are studied in detail. MATLAB simulation results show very sophisticated dynamical behaviors and unique chaotic behaviors of the system. It provides a new approach for 2N + 1-scroll attractors. Finally, to explore the potential use in technological applications, a novel block circuit diagram is also designed for the hardware implementation of 1-, 3-, 5-, and 7-scroll attractors via switching the switches. Translation chaotic system has the merit of convenience and high sensitivity to initial values, emerging potentials in future engineering chaos design.},
doi = {10.1063/1.4958919},
journal = {Chaos (Woodbury, N. Y.)},
number = 8,
volume = 26,
place = {United States},
year = {Mon Aug 15 00:00:00 EDT 2016},
month = {Mon Aug 15 00:00:00 EDT 2016}
}