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

机译：具有多功率和伪随机数发生器设计的新一类汉密尔顿保守混沌系统

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摘要

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.
机译：与耗散混沌系统相比，保守的混沌系统具有一些有吸引力的特征对于工程应用有价值，例如安全通信。本文提出了一种构建新型高维保守混沌系统的方法，例如4维保守混沌系统和5维保守超混沌系统。由动态演进图，平衡点，Lyapunov维度，流量和哈密顿能量的体积验证了构造系统的动态特性。在发达的保守化混沌系统中观察到拟时间，混乱和超混沌流动的有趣的共存。通过三角变换，并行保守混沌系统是无限的许多卷轴实现的。为了适应工程应用要求，安全通信被视为案例研究。拟议的保守混沌系统通过了伪随机物业的验证国家标准统计测试标准研究所，这是安全沟通的关键因素。此外，伪随机信号发生器是使用现场可编程门阵列技术开发的。由于拓扑结构复杂，这些数字实现在文献中不常见，而是仅通过模拟电路仿真验证了大多数保守的混沌系统。 （c）2019 Elsevier Inc.保留所有权利。

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