|Table of Contents|

Design of Chen-like system and its FPGA implementation

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2015年03期
Page:
323-
Research Field:
Publishing date:

Info

Title:
Design of Chen-like system and its FPGA implementation
Author(s):
Yuan ZeshiLi HongtaoZhu Xiaohua
School of Electronic Engineering and Optoelectronic Technology,NUST,Nanjing 210094,China
Keywords:
Chen-like chaotic system topological structure dynamic behaviors chaotic attractor three-dimensional autonomous chaotic system partial amplitude modulation parameter bifurcation diagrams Lyapunov exponent spectrums register transfer level fixed-p
PACS:
O415.5
DOI:
-
Abstract:
To achieve a Chen-like chaotic attractor with more complex topological structure and dynamic behaviors,a new three-dimensional autonomous chaotic system is constructed by introducing a variable coefficient product term and a variable coefficient quadratic term in the Chen system.Numerical simulation shows that this system has peculiar dynamic behaviors demonstrated by Bifurcation diagrams and Lyapunov exponent spectrums,and has a partial amplitude modulation parameter.The circuit of the system is realized efficiently on the register transfer level(RTL)of the field programmable gate array(FPGA),and the chaotic system proposed here is realized using 32-bit fixed-point operation.The numerical simulation result is in accord with the hardware emulation result,and the robustness and physical realizability of this system is verified.

References:

[1] Lorenz E N.The essence of chaos[M].London,UK:Routledge,1993.
[2]Stewart I.Mathematics:The Lorenz attractor exists[J].Nature,2000,406(6799):948-949.
[3]Rössler O E.An equation for continuous chaos[J].Physics Letters A,1976,57(5):397-398.
[4]Chen Guanrong,Ueta T.Yet another chaotic attractor[J].International Journal of Bifurcation and Chaos,1999,9(7):1465-1466.
[5]Lv Jinhu,Chen Guanrong.A new chaotic attractor coined[J].International Journal of Bifurcation and Chaos,2002,12:659-661.
[6]Lv Jinhu,Chen Guanrong,Cheng Daizhan,et al.Bridge the gap between the Lorenz system and the Chen system[J].International Journal of Bifurcation and Chaos in Applied Sciences and Engineering,2002,12(12):2917-2926.
[7]陈关荣,吕金虎.Lorenz系统族的动力学分析、控制与同步[M].北京:科学出版社,2003.
[8]李春彪,王德纯.一种恒Lyapunov指数谱混沌吸引子及其Jerk电路实现[J].物理学报,2009,58(2):764-770.
Li Chunbiao,Wang Dechun.An attractor with invariable Lyapunov exponent spectrum and its Jerk circuit implementation[J].Acta Physica Sinica,2009,58(2):764-770.
[9]李春彪,陈谡,朱焕强.一个改进恒Lyapunov指数谱混沌系统的电路实现与同步控制[J].物理学报,2009,58(4):2255-2265.
Li Chunbiao,Chen Su,Zhu Huanqiang.Circuit implementation and synchronization of an improved system with invariable Lyapunov exponent spectrum[J].Acta Physica Sinica,2009,58(4):2255-2265.
[10]张国山,牛弘.一个基于Chen系统的新混沌系统的分析与同步[J].物理学报,2012,61(11):137-147.
Zhang Guoshan,Niu Hong.Analysis and synchro-nization of a novel chaotic system based on Chen's system[J].Acta Physica Sinica,2012,61(11):137-147.
[11]李春来,禹思敏,罗晓曙.一个新的混沌系统的构建与实现[J].物理学报,2012,61(11):127-136.
Li Chunlai,Yu Simin,Luo Xiaoshu.A new chaotic system and its implementation[J].Acta Physica Sinica,2012,61(11):127-136.
[12]Wu Xiangjun,Wang Hui.A new chaotic system with fractional order and its projective synchronization[J].Nonlinear Dynamics,2010,61(3):407-417.
[13]包伯成,胡文,许建平,等.忆阻混沌电路的分析与实现[J].物理学报,2011,60(12):58-65.
Bao Baicheng,Hu Wen,Xu Jianping,et al.Analysis and implementation of memristor chaotic circuit[J].Acta Physica Sinica,2011,60(12):58-65.
[14]邵书义,闵富红,吴薛红,等.基于现场可编程逻辑门阵列的新型混沌系统实现[J].物理学报,2014,63(6):060501(1-9).
Shao Shuyi,Min Fuhong,Wu Xuehong,et al.Implementation of a new chaotic system based on field programmable gate array[J].Acta Physica Sinica,2014,63(6):060501(1-9).
[15]Wang Guangyi,Bao Xulei,Wang Zhonglin.Design and FPGA implementation of a new hyperchaotic system[J].Chinese Physics B,2008,17(10):3596-3602.
[16]胡文,赵广浩,张弓,等.时标正弦动力学方程稳定性与分岔分析[J].物理学报,2012,61(17):76-87.
Hu Wen,Zhao Guanghao,Zhang Gong,et al.Stabilities and bifurcations of Sine dynamic equations on time scale[J].Acta Physica Sinica,2012,61(17):76-87.
[17]唐良瑞,李静,樊冰,等.新三维混沌系统及其电路仿真[J].物理学报,2009,58(2):785-793.
Tang Liangrui,Li Jing,Fan Bing,et al.A new three-dimensional chaotic system and its circuit simulation[J].Acta Physica Sinica,2009,58(2):785-793.
[18]Qi Guoyuan,Du Shengzi,Chen Guanrong,et al.On a four-dimensional chaotic system[J].Chaos Solitons & Fractals,2005,23(5):1671-1682.
[19]Li Chunbiao,Sprott J C.Amplitude control approach for chaotic signals[J].Nonlinear Dynamics,2013,73(3):1335-1341.
[20]官国荣,吴成茂,贾倩.一种改进的高性能Lorenz系统构造及其应用[J].物理学报,2015,64(2):020501(1-14).
Guan Guorong,Wu Chengmao,Jia Qian.An improved high performance Lorenz system and its application[J].Acta Physica Sinica,2015,64(2):020501(1-14).
[21]Chen Yuming,Yang Qigui.A new Lorenz-type hyperchaotic system with a curve of equilibria[J].Mathematics and Computers in Simulation,2014,112:40-45.

Memo

Memo:
-
Last Update: 2015-06-30