Generation of 2N + 1scroll existence in new threedimensional chaos systems
Abstract
We propose a systematic methodology for creating 2N + 1scroll chaotic attractors from a simple threedimensional 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 + 1scrolls, 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 + 1scroll 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 7scroll 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:
 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; THREEDIMENSIONAL CALCULATIONS
Citation Formats
Liu, Yue, Guan, Jian, Ma, Chunyang, and Guo, Shuxu, Email: guosx@jlu.edu.cn. Generation of 2N + 1scroll existence in new threedimensional chaos systems. United States: N. p., 2016.
Web. doi:10.1063/1.4958919.
Liu, Yue, Guan, Jian, Ma, Chunyang, & Guo, Shuxu, Email: guosx@jlu.edu.cn. Generation of 2N + 1scroll existence in new threedimensional chaos systems. United States. doi:10.1063/1.4958919.
Liu, Yue, Guan, Jian, Ma, Chunyang, and Guo, Shuxu, Email: guosx@jlu.edu.cn. 2016.
"Generation of 2N + 1scroll existence in new threedimensional chaos systems". United States.
doi:10.1063/1.4958919.
@article{osti_22596615,
title = {Generation of 2N + 1scroll existence in new threedimensional chaos systems},
author = {Liu, Yue and Guan, Jian and Ma, Chunyang and Guo, Shuxu, Email: guosx@jlu.edu.cn},
abstractNote = {We propose a systematic methodology for creating 2N + 1scroll chaotic attractors from a simple threedimensional 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 + 1scrolls, 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 + 1scroll 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 7scroll 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 = 2016,
month = 8
}

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