Implementation of a novel two-attractor grid multi-scroll chaotic system

doi:10.1088/1674-1056/19/7/070510

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70510-070510.doi: 10.1088/1674-1056/19/7/070510

Implementation of a novel two-attractor grid multi-scroll chaotic system

梁亦龙¹, 罗小华², 涂正伟², 刘希瑞², 蔡昌², 龚璞²

(1)College of Biological Information, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; (2)College of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

收稿日期:2009-11-03 修回日期:2010-02-03 出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 60972069) and the Science and Technology Foundation of the Education Department of Chongqing (Grant No. KJ090513).

Implementation of a novel two-attractor grid multi-scroll chaotic system

Luo Xiao-Hua(罗小华)^a)†, Tu Zheng-Wei(涂正伟)^a), Liu Xi-Rui(刘希瑞)^a), Cai Chang(蔡昌)^a), Liang Yi-Long(梁亦龙)^b), and Gong Pu(龚璞)^a)

^a College of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; ^b College of Biological Information, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received:2009-11-03 Revised:2010-02-03 Online:2010-07-15 Published:2010-07-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 60972069) and the Science and Technology Foundation of the Education Department of Chongqing (Grant No. KJ090513).

摘要/Abstract

摘要： This paper proposed a method of generating two attractors in a novel grid multi-scroll chaotic system. Based on a newly generated three-dimensional system, a two-attractor grid multi-scroll attractor system can be generated by adding two triangular waves and a sign function. Some basic dynamical properties, such as equilibrium points, bifurcations, and phase diagrams, were studied. Furthermore, the system was experimentally confirmed by an electronic circuit. The circuit simulation results and numerical simulation results verified the feasibility of this method.

Abstract: This paper proposed a method of generating two attractors in a novel grid multi-scroll chaotic system. Based on a newly generated three-dimensional system, a two-attractor grid multi-scroll attractor system can be generated by adding two triangular waves and a sign function. Some basic dynamical properties, such as equilibrium points, bifurcations, and phase diagrams, were studied. Furthermore, the system was experimentally confirmed by an electronic circuit. The circuit simulation results and numerical simulation results verified the feasibility of this method.

Key words: chaos, grid multi-scroll attractor, two-attractor grid multi-scroll chaotic system, circuit simulation

中图分类号: (Numerical simulations of chaotic systems)

05.45.Pq

05.45.Ac (Low-dimensional chaos) 02.30.Oz (Bifurcation theory)

罗小华, 涂正伟, 刘希瑞, 蔡昌, 梁亦龙, 龚璞. Implementation of a novel two-attractor grid multi-scroll chaotic system[J]. 中国物理B, 2010, 19(7): 70510-070510.

Luo Xiao-Hua(罗小华), Tu Zheng-Wei(涂正伟), Liu Xi-Rui(刘希瑞), Cai Chang(蔡昌), Liang Yi-Long(梁亦龙), and Gong Pu(龚璞). Implementation of a novel two-attractor grid multi-scroll chaotic system[J]. Chin. Phys. B, 2010, 19(7): 70510-070510.

参考文献 19

[1]	Lorenz E N 1963 J. Atmos. Sci. 20 130
[2]	Matsumoto T, Chua L O and Komuro M 1985 IEEE Trans. CAS 32 798
[3]	Suykens J and Vandewalle J 1993 IEEE Trans. CAS2 I 40 861
[4]	Yalcin M E, Suykens J and Vandewalle J 2000 IEEE Trans. CAS2 I 47 425
[5]	Tang W K S, Zhong G Q, Chen G and Man K F 2001 IEEE Trans. CAS I 48 1369
[6]	Zhong G Q, Man K F and Chen G R Int. J. Bifurc. Chaos 12 2907
[7]	Yu S M, Qiu S S and Lin Q H 2003 Sci. Chin. F 46 104
[8]	Elwakil A S and Kennedy M P 2000 Int. J. Circ. Theor. Appl. 28 319
[9]	Yu S M, Lin Q H and Qiu S S 2004 Acta Phys. Sin. 53 2084 (in Chinese)
[10]	Yu S M, Ma Z G, Qiu S S, Peng S G and Lin Q H 2004 Chin. Phys. 13 317
[11]	Lü J H, Han F, Yu X and Leung H 2004 IEEE Trans. Circuits Syst. I 51 2476
[12]	Yu S M, Lü J H and Chen G R 2007 IEEE Trans. Circuits Syst. I 54 2087
[13]	Yu S M, L"u J H and Chen G R 2007 Chaos 17 013118
[14]	Yu S M, Tang K S and Chen G R 2007 Int. J. Bifur. Chaos 17 3951
[15]	Liu F, Liu S D, Liu G and Liu S K 2007 Acta Phys. Sin. 56 5629 (in Chinese)
[16]	Wang F Q, Liu C X and Lu J J 2006 Acta Phys. Sin. 55 3289 (in Chinese)
[17]	Yu S M 2005 Acta Phys. Sin. 54 1500 (in Chinese)
[18]	Zhang Z X and Yu S M 2009 Acta Phys. Sin. 58 120 (in Chinese)
[19]	Wang F Q and Liu C X 2007 Acta Phys. Sin. 56 1983 (in Chinese) endfootnotesize

Implementation of a novel two-attractor grid multi-scroll chaotic system

Implementation of a novel two-attractor grid multi-scroll chaotic system

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 19

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Abderrahmane Abbes, Adel Ouannas, and Nabil Shawagfeh. An incommensurate fractional discrete macroeconomic system: Bifurcation, chaos, and complexity[J]. 中国物理B, 2023, 32(3): 30203-030203.
[2]	Zhan-Hong Guo(郭展宏), Zhi-Jun Li(李志军), Meng-Jiao Wang(王梦蛟), and Ming-Lin Ma(马铭磷). Hopf bifurcation and phase synchronization in memristor-coupled Hindmarsh-Rose and FitzHugh-Nagumo neurons with two time delays[J]. 中国物理B, 2023, 32(3): 38701-038701.
[3]	Fangfang Zhang(张芳芳), Zhe Huang(黄哲), Lei Kou(寇磊), Yang Li(李扬), Maoyong Cao(曹茂永), and Fengying Ma(马凤英). Data encryption based on a 9D complex chaotic system with quaternion for smart grid[J]. 中国物理B, 2023, 32(1): 10502-010502.
[4]	Zhi-Jun Li(李志军), Wen-Qiang Xie(谢文强), Jin-Fang Zeng(曾金芳), and Yi-Cheng Zeng(曾以成). Firing activities in a fractional-order Hindmarsh-Rose neuron with multistable memristor as autapse[J]. 中国物理B, 2023, 32(1): 10503-010503.
[5]	Qiankun Sun(孙乾坤), Shaobo He(贺少波), Kehui Sun(孙克辉), and Huihai Wang(王会海). A novel hyperchaotic map with sine chaotification and discrete memristor[J]. 中国物理B, 2022, 31(12): 120501-120501.
[6]	Li-Ping Zhang(张丽萍), Yang Liu(刘洋), Zhou-Chao Wei(魏周超), Hai-Bo Jiang(姜海波), Wei-Peng Lyu(吕伟鹏), and Qin-Sheng Bi(毕勤胜). Extremely hidden multi-stability in a class of two-dimensional maps with a cosine memristor[J]. 中国物理B, 2022, 31(10): 100503-100503.
[7]	Zhi-Wei Jia(贾志伟), Li Li(李丽), Yi-Yan Guo(郭一岩), An-Bang Wang(王安帮), Hong Han(韩红), Jin-Chuan Zhang(张锦川), Pu Li(李璞), Shen-Qiang Zhai(翟慎强), and Feng-Qi Liu(刘峰奇). Periodic and chaotic oscillations in mutual-coupled mid-infrared quantum cascade lasers[J]. 中国物理B, 2022, 31(10): 100505-100505.
[8]	Xian-Jia Wang(王先甲) and Lin-Lin Wang(王琳琳). Evolution of donations on scale-free networks during a COVID-19 breakout[J]. 中国物理B, 2022, 31(8): 80204-080204.
[9]	Rui Wang(王蕊), Meng-Yang Li(李孟洋), and Hai-Jun Luo(罗海军). Exponential sine chaotification model for enhancing chaos and its hardware implementation[J]. 中国物理B, 2022, 31(8): 80508-080508.
[10]	Shaobo He(贺少波), Huihai Wang(王会海), and Kehui Sun(孙克辉). Solutions and memory effect of fractional-order chaotic system: A review[J]. 中国物理B, 2022, 31(6): 60501-060501.
[11]	Yan-Mei Lu(卢艳梅), Chun-Hua Wang(王春华), Quan-Li Deng(邓全利), and Cong Xu(徐聪). The dynamics of a memristor-based Rulkov neuron with fractional-order difference[J]. 中国物理B, 2022, 31(6): 60502-060502.
[12]	Li-Ping Zhang(张丽萍), Yang Liu(刘洋), Zhou-Chao Wei(魏周超),Hai-Bo Jiang(姜海波), and Qin-Sheng Bi(毕勤胜). A class of two-dimensional rational maps with self-excited and hidden attractors[J]. 中国物理B, 2022, 31(3): 30503-030503.
[13]	Fei Yu(余飞), Zinan Zhang(张梓楠), Hui Shen(沈辉), Yuanyuan Huang(黄园媛), Shuo Cai(蔡烁), and Sichun Du(杜四春). FPGA implementation and image encryption application of a new PRNG based on a memristive Hopfield neural network with a special activation gradient[J]. 中国物理B, 2022, 31(2): 20505-020505.
[14]	Chenguang Ma(马晨光), Santo Banerjee, Li Xiong(熊丽), Tianming Liu(刘天明), Xintong Han(韩昕彤), and Jun Mou(牟俊). Dynamical analysis, circuit realization, and application in pseudorandom number generators of a fractional-order laser chaotic system[J]. 中国物理B, 2021, 30(12): 120504-120504.
[15]	Tao Wang(王涛) and Tiegang Liu(刘铁钢). Transition to chaos in lid-driven square cavity flow[J]. 中国物理B, 2021, 30(12): 120508-120508.