A Novel Multi-Wing Fractional-order Chaotic System, its Synchronisation Control and Application in Secure Communication

Manashita Borah, B. K. Roy
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引用次数: 10

Abstract

This paper presents a fractional-order (FO) model of an eight-wing strange attractor. The proposed fractional-order chaotic system (FOCS) displays rich bifurcation, transient chaos and complex topology due to its multi-wing structure. Study of the multi-wing attractor dynamics is performed by means of fractal Lyapunov dimension, bifurcation analysis, maximum Lyapunov exponents spectrum, sensitivity to initial conditions and phase portraits. The minimum commensurate dimension to display chaos is determined. The proposed FOCS has the potential to safeguard the privacy of data transmission in secure communication and hence, a synchronisation control procedure is designed. Its application to a FO chaos based cryptographic scheme is validated with suitable examples. Finally, the numerical simulation results which are in good agreement with that of theoretical analysis confirm that the objectives of the paper are successfully achieved.
一种新型多翼分数阶混沌系统及其同步控制及在保密通信中的应用
本文给出了一个八翼奇异吸引子的分数阶模型。所提出的分数阶混沌系统由于其多翼结构而表现出丰富的分岔、瞬态混沌和复杂的拓扑结构。采用分形李雅普诺夫维数、分岔分析、最大李雅普诺夫指数谱、初始条件灵敏度和相位谱等方法对多翼吸引子动力学进行了研究。确定了显示混沌的最小尺寸。所提出的FOCS具有在安全通信中保护数据传输隐私的潜力,因此,设计了一个同步控制程序。通过适当的算例验证了该方法在基于FO混沌的密码方案中的应用。最后,数值模拟结果与理论分析结果吻合较好,验证了本文的目标是成功实现的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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