A Torus-Chaotic System and Its Pseudorandom Properties
Exploring and investigating new chaotic systems is a popular topic in nonlinear science. Although numerous chaotic systems have been introduced in the literature, few of them focus on torus-chaotic system. The aim of our short work is to widen the current knowledge of torus chaos. In this paper, a n...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8315658 |
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| _version_ | 1832550990367162368 |
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| author | Jizhao Liu Xiangzi Zhang Qingchun Zhao Jing Lian Fangjun Huang Yide Ma |
| author_facet | Jizhao Liu Xiangzi Zhang Qingchun Zhao Jing Lian Fangjun Huang Yide Ma |
| author_sort | Jizhao Liu |
| collection | DOAJ |
| description | Exploring and investigating new chaotic systems is a popular topic in nonlinear science. Although numerous chaotic systems have been introduced in the literature, few of them focus on torus-chaotic system. The aim of our short work is to widen the current knowledge of torus chaos. In this paper, a new torus-chaotic system is proposed, which has one positive Lyapunov exponent, two zero Lyapunov exponents, and two negative Lyapunov exponents. The dynamic behavior is investigated by Lyapunov exponents, bifurcations, and stability. The analysis shows that this system has an interesting route leading to chaos. Furthermore, the pseudorandom properties of output sequence are well studied and a random number generator algorithm is proposed, which has the potential of being used in several cyber security systems such as the verification code, secure QR code, and some secure communication protocols. |
| format | Article |
| id | doaj-art-8ce9fc63a4d34acfb7c581c450608cd4 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-8ce9fc63a4d34acfb7c581c450608cd42025-02-03T06:05:12ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/83156588315658A Torus-Chaotic System and Its Pseudorandom PropertiesJizhao Liu0Xiangzi Zhang1Qingchun Zhao2Jing Lian3Fangjun Huang4Yide Ma5School of Data and Computer Science, Sun Yat-sen University, Guangzhou, Guangdong 510006, ChinaCollege of Information Science and Technology, Jinan University, Guangzhou, ChinaSchool of Computer and Communication Engineering, Northeastern University, Qinhuangdao 066004, ChinaSchool of Electronics and Information Engineering, Lanzhou Jiaotong University, 88 West Anning Road, Lanzhou, Gansu 730070, ChinaSchool of Data and Computer Science, Sun Yat-sen University, Guangzhou, Guangdong 510006, ChinaSchool of Information Science and Engineering, Lanzhou University, Lanzhou, Gansu, ChinaExploring and investigating new chaotic systems is a popular topic in nonlinear science. Although numerous chaotic systems have been introduced in the literature, few of them focus on torus-chaotic system. The aim of our short work is to widen the current knowledge of torus chaos. In this paper, a new torus-chaotic system is proposed, which has one positive Lyapunov exponent, two zero Lyapunov exponents, and two negative Lyapunov exponents. The dynamic behavior is investigated by Lyapunov exponents, bifurcations, and stability. The analysis shows that this system has an interesting route leading to chaos. Furthermore, the pseudorandom properties of output sequence are well studied and a random number generator algorithm is proposed, which has the potential of being used in several cyber security systems such as the verification code, secure QR code, and some secure communication protocols.http://dx.doi.org/10.1155/2020/8315658 |
| spellingShingle | Jizhao Liu Xiangzi Zhang Qingchun Zhao Jing Lian Fangjun Huang Yide Ma A Torus-Chaotic System and Its Pseudorandom Properties Complexity |
| title | A Torus-Chaotic System and Its Pseudorandom Properties |
| title_full | A Torus-Chaotic System and Its Pseudorandom Properties |
| title_fullStr | A Torus-Chaotic System and Its Pseudorandom Properties |
| title_full_unstemmed | A Torus-Chaotic System and Its Pseudorandom Properties |
| title_short | A Torus-Chaotic System and Its Pseudorandom Properties |
| title_sort | torus chaotic system and its pseudorandom properties |
| url | http://dx.doi.org/10.1155/2020/8315658 |
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