1:内蒙古科技大学工程训练中心
摘要(Abstract):
构建了一个新光滑四维超混沌系统,分析了该系统平衡点的稳定性,对其Lyapunov指数、分岔图、庞加莱截面和功率谱等基本动力学行为进行了仿真测试,研究分析了该系统在各参数不同区间的混沌状态,确定该系统拥有较高的Lyapunov指数,具有更为复杂的动力学行为.
关键词(KeyWords): 超混沌系统;Lyapunov指数;分岔图;庞加莱截面;功率谱
基金项目(Foundation):
作者(Author): 徐扬;
Email:
[1]朱淑芹,李俊青.一种混沌图像加密算法的选择明文攻击和改进[J].计算机工程与应用,2017,53(24):113-121.
[2]朱淑芹,李俊青,王文宏.对改进的基于DNA编码和混沌的图像加密算法的安全性分析[J].计算机应用研究,2017,34(10):3090-3093.
[3]朱淑芹,王文宏,李俊青.针对基于感知器模型的混沌图像加密算法的选择明文攻击[J].计算机科学,2018,45(4):178-189.
[4]朱淑芹,王文宏,孙忠贵.对一种混沌图像加密算法的安全分析和改进[J].计算机工程与应用,2019,55(1):115-122.
[5]OLUROTIMI S O,NJAH A N.A 5D hyperchaotic Sprott B system with coexisting hidden attractors[J].Chaos,Solitons&Fractals,2016,87:172-181.
[6]王海军.几个高维混沌系统的奇异轨及其分岔[D].扬州:扬州大学,2016.
[7]YUAN H M,LIU Y,LIN T,et al.A new parallel image cryptosystem based on 5D hyper-chaotic system[J].Signal Processing:Image Communication,2017,52:87-96.
[8]LIU J M.A four-wing and double-wing 3D chaotic system based on sign function[J].Optik,2014,125:7089-7095.
[9]YU F,WANG C H.Secure communication based on a four-wing chaotic system subject to disturbance inputs[J].Optik,2014,125:5920-5925.
[10]ZHANG S,ZENG Y C,LI Z J.One to four-wing chaotic attractors coined from a novel 3D fractional-order chaotic system with complex dynamics[J].Chinese Journal of Physics,2018,56(3):793-806.
[11]FOLIFACK SIGNING V R,KENGNE J,KANA L K.Dynamic analysis and multistability of a novel four-wing chaotic system with smooth picewise quadratic nonlinearity[J].Chao,Solitons&Fractals,2018,113:263-274.
[12]SAPTARSHI D,ANISH A,INDRANIL P.Simulation studies on the design of optimum PID controllers to suppress chaotic oscillations in a family of Lorenz-like multi-wing attractors[J].Mathematics and Computers In Simulation,2014,100:72-87.
[13]ZHANG C X.Theoretical design approach of four-dimensional piecewise-linear multi-wing hyperchaotic differential dynamic system[J].Optik,2016,127:4575-4580.
[14]MANASHITA B,BINOY K R.An enhanced multi-wing fractional-order chaotic system with coexisting attractors and switching hybrid synchronisation with its nonautonomous counterpart[J].Chaos,Solitons&Fractals,2017,102:372-386.
[15]战凯,姜文刚.一个新四翼超混沌系统及其在图像加密中应用[J].计算机工程与应用,2017,53(12):36-44.
[16]蔡冬梅,王昆,贾鹏,等.功率谱反演大气湍流随机相位屏采样方法的研究[J].物理学报,2014,63(10):104217-1-104217-6.
地址:内蒙古包头市昆都仑区阿尔丁 大街7号 邮编:014010 电话:0472-5951610或0472- 5953910 Email:cky@imust.edu.cn nkdxb@imust.edu.cn 版权所有:内蒙古科技大学学报编辑部(©2013)