期刊
APPLIED MATHEMATICAL MODELLING
卷 73, 期 -, 页码 40-71出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2019.03.037
关键词
Multi-stability; Infinite-equilibrium; Hamiltonian conservative chaotic system; Coexistence hidden attractors; Generalized Hamiltonian system; Field Programmable Gate Array implementation
资金
- Natural Science Foundation of China [61603274, 61502340]
- Natural Science Foundation of Tianjin [18JCYBJC87700]
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 pseudorandom 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. (C) 2019 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据