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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Published inComplexity (New York, N.Y.) Vol. 2020; no. 2020; pp. 1 - 12
Main Authors Huang, Fangjun, Lian, Jing, Zhao, Qingchun, Zhang, Xiangzi, Liu, Jizhao, Ma, Yide
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 06.07.2020
Hindawi
John Wiley & Sons, Inc
Wiley
Subjects
Algorithms
Analysis
Behavior
Bifurcations
Chaos theory
Communication
Cybersecurity
Data encryption
Dynamic stability
Eigenvalues
Equilibrium
Field programmable gate arrays
Liapunov exponents
Orbits
Pseudorandom
Random numbers
Security systems
Spread spectrum
Stability analysis
Toruses
China
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Abstract 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.
AbstractList 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.
Audience Academic
Author Zhang, Xiangzi
Ma, Yide
Zhao, Qingchun
Liu, Jizhao
Huang, Fangjun
Lian, Jing
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Copyright Copyright © 2020 Jizhao Liu et al.
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SubjectTerms Algorithms
Analysis
Behavior
Bifurcations
Chaos theory
Communication
Cybersecurity
Data encryption
Dynamic stability
Eigenvalues
Equilibrium
Field programmable gate arrays
Liapunov exponents
Orbits
Pseudorandom
Random numbers
Security systems
Spread spectrum
Stability analysis
Toruses
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Title A Torus-Chaotic System and Its Pseudorandom Properties
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