立体网格多涡卷混沌系统及其电路实现

doi:10.13190/j.jbupt.2017.02.013

北京邮电大学学报 ›› 2017, Vol. 40 ›› Issue (2): 84-87.doi: 10.13190/j.jbupt.2017.02.013

立体网格多涡卷混沌系统及其电路实现

马英杰¹, 李亚², 谢绒娜¹

1. 北京电子科技学院通信工程系, 北京 100070;
2. 广东工业大学信息工程学院, 广东 510075

收稿日期:2016-10-28 出版日期:2017-04-28 发布日期:2017-04-26
作者简介:马英杰(1979-),女,讲师;李亚(1979-),男,讲师,E-mail:liya2829@live.com.
基金资助:
中央高校基本科研业务费项目（2016LG02）；国家自然科学基金应急管理项目（61640216）；中国博士后科学基金面上一等项目（2016M600642）

3-D 2×2×2-grid Scroll Chaotic System and Its Circuit Implementation

MA Ying-jie¹, LI Ya², XIE Rong-na¹

1. Department of Communication Engineering, Beijing Electronic Science and Technology Institute, Beijing 100070, China;
2. School of Information Engineering, Guangdong University of Technology, Guangdong 510075, China

Received:2016-10-28 Online:2017-04-28 Published:2017-04-26

摘要/Abstract

摘要： 在经典Jerk混沌系统和现有多涡卷混沌系统最新研究成果的基础上，引入符号函数构建了一个能够产生立体网格多涡卷混沌吸引子的新型混沌系统模型.该模型的动力学分析和Matlab数值仿真结果表明，该系统能够产生立体网格2×2×2多涡卷混沌吸引子.最后，设计了硬件电路，并且给出了立体网格2×2×2多涡卷的硬件电路实验结果.硬件实验结果与理论分析、仿真结果一致，从而验证了该系统的物理可实现性.

关键词: 混沌, 立体网格多涡卷, 符号函数, 混沌吸引子, 硬件电路

Abstract: Based on the classical Jerk chaotic system and the latest research of multi-scroll chaotic system, a model of the new chaotic system was constructed to produce 3-D grid multi-scroll chaotic attractors with the sign function in the modified Jerk's circuit. Both model analysis and Matlab simulation show that the system generates 3-D 2×2×2-grid multi-scroll chaotic attractors. Finally, the design of the hardware circuit was made at 3-D 2×2×2-grid multi-scroll hardware experiments. Hardware experiments. Analysis and simulation are full matched that is proven the physical realization of the system.

Key words: chaos, 3-D grid multi-scroll, sign function, chaotic attractors, hardware implementation

中图分类号:

TN918

马英杰, 李亚, 谢绒娜. 立体网格多涡卷混沌系统及其电路实现[J]. 北京邮电大学学报, 2017, 40(2): 84-87.

MA Ying-jie, LI Ya, XIE Rong-na. 3-D 2×2×2-grid Scroll Chaotic System and Its Circuit Implementation[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2017, 40(2): 84-87.

参考文献

[1] Lorenz E N. Deterministic nonperiodic flow[J]. Journal of the Atmospheric Sciences, 1963, 20(2):130-141.
[2] Sprott J C. Simple chaotic systems and circuits[J]. American Journal of Physics, 2000, 68(8):758-763.
[3] Sprott J C. A new class of chaotic circuit[J]. Physics Letters A, 2000, 266(1):19-23.
[4] Shaik K B, Mandal M K. Chaos from Jerk circuit[J]. National Institute of Technology, 2010:257-267.
[5] Yalcin M E. Multi-scroll and hypercube attractors from a general Jerk circuit using josephson junctions[J]. Chaos Solitons & Fractals, 2007, 34(5):1659-1666.
[6] Kilinc S, Yalcin M E, Ozoguz S. Multiscroll chaotic attractors from a hysteresis based time-delay differential equation[J]. International Journal of Bifurcation and Chaos, 2010, 20(10):3275-3281.
[7] Yeniceri Ramazan, Yalcin M E. Multi-scroll chaotic attractors from a generalized time-delay sampled-data system[J]. International Journal of Circuit Theory and Applications, 2016, 44(6):1263-1276.
[8] Henry Alombah N, Hilaire Fotsin, Megam Ngouonkadi E B, et al. Dynamics, analysis and implementation of a multiscroll memristor-based chaotic circuit[J]. International Journal of Bifurcation and Chaos, 2016, 26(8):16501281-20.
[9] He Shaobo, Sun Kehui, Wang Huihai. Modified multiscale permutation entropy algorithm and its application for multiscroll Ccaotic systems[J]. Complexity, 2016, 21(5):52-58.
[10] Sajad Jafari, Viet-Thanh Pham, Tomasz Kapitaniak. Multiscroll chaotic sea obtained from a simple 3D system without equilibrium[J]. International Journal of Bifurcation and Chaos, 2016, 26(2):1-7.
[11] Wu Xianming, He Yigang A systematic design method for 3D grid multiscroll chaotic attractors and its circuit implementation employing CFOAs[J]. International Journal of Bifurcation and Chaos, 2015, 25(3):1-10.
[12] Garcia-Martinez M, Ontanon-Garcia L J, Campos-Canton E, et al. Hyperchaotic encryption based on multi-scroll piecewise linear systems[J]. Applied Mathematics and Computation, 2015(270):413-424.
[13] Hu Xiaoyu, Liu Chongxin, Liu Ling, et al. Multi-scroll hidden attractors in improved sprott a system[J]. Nonlinear Dynamics, 2016, 86(3):1725-1734.
[14] Yuan Fang, Wang Guangyi, Wang Xiaowei. Extreme multistability in a memristor-based multi-scroll hyper-chaotic system[J]. Chaos, 2016, 26(7):1-10.
[15] Sprott J C, Linz S J. Algebraically simple chaotic flows[J]. Chaos Theory and Applications, 2000(5):3-20.

立体网格多涡卷混沌系统及其电路实现

3-D 2×2×2-grid Scroll Chaotic System and Its Circuit Implementation

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