A new class of Hamiltonian conservative chaotic systems with multistability and design of pseudo-random number generator

Compared to dissipative chaotic system, conservative chaotic systems have some attractive features valuable for engineering applications, such as security communication. This paper proposes a method for constructing new high dimensional conservative chaotic systems, for instance 4 dimensional conser...

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Bibliographic Details
Published in:Applied Mathematical Modelling Vol. 73; p. 40
Main Authors: Dong, Enzeng, Yuan, Mingfeng, Du, Shengzhi, Chen, Zengqiang
Format: Journal Article
Language:English
Published: New York Elsevier BV 01.09.2019
Subjects:
Analog circuits
Chaos theory
Communication
Energy dissipation
Field programmable gate arrays
Pseudorandom
Random numbers
Security
Signal generators
Topology
ISSN:1088-8691, 0307-904X
Online Access:Get full text
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Summary:Compared to dissipative chaotic system, conservative chaotic systems have some attractive features valuable for engineering applications, such as security communication. This paper proposes a method for constructing new high dimensional conservative chaotic systems, for instance 4 dimensional conservative chaotic systems and 5 dimensional conservative hyper-chaotic systems. The dynamic properties of the constructed systems are verified by the dynamical evolution map, equilibrium points, Lyapunov dimension, the volume of flow and the Hamiltonian energy. An interesting co-existence of quasi-period, chaos and hyper-chaos flows are observed in the developed conservative chaotic systems. With trigonometric transformation, parallel conservative chaotic systems are achieved with infinitely many scrolls. To accommodate the engineering application requirement, the security communication is considered as a case study. The proposed conservative chaotic systems passed the validation National Institute of Standard Statistic Test criteria for the pseudo-random property, which is the critical factor of security communication. Furthermore, the pseudo-random signal generator is developed using the Field Programmable Gate Array technique. Due to the complicated topology structure, such digital implementation was not commonly reported in literatures, instead most conservative chaotic systems were validated only by analog circuit simulation.
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ISSN:1088-8691
0307-904X
DOI:10.1016/j.apm.2019.03.037