Buffeting Chaotification Model for Enhancing Chaos and Its Hardware Implementation

Many shortcomings of chaos-based applications stem from the weak dynamic properties of the chaotic maps they use. To alleviate this problem, inspired by the buffeting effect in aeroelasticity, this article proposes the buffeting chaotification model (BCM). Using the especially designed buffeting and...

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Published in:	IEEE transactions on industrial electronics (1982) Vol. 70; no. 3; pp. 2916 - 2926
Main Authors:	Zhang, Zhiqiang, Zhu, Hong, Ban, Pengxin, Wang, Yong, Zhang, Leo Yu
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.03.2023 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Aerodynamics Aeroelasticity Behavioral sciences Buffeting Buffeting effect Chaos theory chaotic system chaotification Complexity theory Field programmable gate arrays field-programmable gate array (FPGA) implementation Hardware Liapunov exponents Logistics Lyapunov exponent (LE) Orbits Pseudorandom sequences Space vehicles
ISSN:	0278-0046, 1557-9948
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Abstract	Many shortcomings of chaos-based applications stem from the weak dynamic properties of the chaotic maps they use. To alleviate this problem, inspired by the buffeting effect in aeroelasticity, this article proposes the buffeting chaotification model (BCM). Using the especially designed buffeting and modulo operators, the BCM can generate numerous new chaotic maps with strong dynamic properties from existing one-dimensional chaotic maps. The effectiveness of the BCM is mathematically proven according to the Lyapunov exponent, and further numerical experiments confirm the superiority of the chaotic maps generated by the BCM in terms of the dynamic properties. The field-programmable gate array implementation also shows that the BCM owns simplicity in hardware devices. To investigate the practical application, a scheme for constructing the pseudorandom number generator is designed. Performance analyses indicate that our generators have a strong ability to produce high-quality pseudorandom sequences rapidly.
AbstractList	Many shortcomings of chaos-based applications stem from the weak dynamic properties of the chaotic maps they use. To alleviate this problem, inspired by the buffeting effect in aeroelasticity, this article proposes the buffeting chaotification model (BCM). Using the especially designed buffeting and modulo operators, the BCM can generate numerous new chaotic maps with strong dynamic properties from existing one-dimensional chaotic maps. The effectiveness of the BCM is mathematically proven according to the Lyapunov exponent, and further numerical experiments confirm the superiority of the chaotic maps generated by the BCM in terms of the dynamic properties. The field-programmable gate array implementation also shows that the BCM owns simplicity in hardware devices. To investigate the practical application, a scheme for constructing the pseudorandom number generator is designed. Performance analyses indicate that our generators have a strong ability to produce high-quality pseudorandom sequences rapidly.
Author	Ban, Pengxin Zhang, Zhiqiang Wang, Yong Zhang, Leo Yu Zhu, Hong
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SubjectTerms	Aerodynamics Aeroelasticity Behavioral sciences Buffeting Buffeting effect Chaos theory chaotic system chaotification Complexity theory Field programmable gate arrays field-programmable gate array (FPGA) implementation Hardware Liapunov exponents Logistics Lyapunov exponent (LE) Orbits Pseudorandom sequences Space vehicles
Title	Buffeting Chaotification Model for Enhancing Chaos and Its Hardware Implementation
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