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A new M × N-grid double-scroll chaotic attractors from Rucklidge chaotic system

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成果类型:
期刊论文
作者:
Chen, Zhong*;Wen, Guilin;Zhou, Huaan;Chen, Junyao
通讯作者:
Chen, Zhong
作者机构:
[Wen, Guilin; Zhou, Huaan; Chen, Zhong] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China.
[Chen, Zhong] Hengyang Normal Univ, Coll Comp Sci & Technol, Hengyang 421002, Peoples R China.
[Wen, Guilin; Zhou, Huaan; Chen, Zhong] Hunan Univ, Key Lab Adv Design & Simulat Tech Special Equipme, Minist Educ, Changsha 410082, Hunan, Peoples R China.
[Chen, Junyao] Hengyang Normal Univ, Dept Phys & Elect Informat Sci, Hengyang 421002, Peoples R China.
[Chen, Junyao] Ajou Univ, Coll Informat Technol, Suwon 16499, South Korea.
通讯机构:
[Chen, Zhong] H
Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China.
语种:
英文
关键词:
Cryptography;Functions;Lyapunov methods;Arc tangent functions;Bifurcation diagram;Chaotic attractors;Formation mechanism;Lyapunov exponent;Multi-scroll attractors;Nonlinear functions;Rucklidge system;Chaotic systems
期刊:
Optik
ISSN:
0030-4026
年:
2017
卷:
136
页码:
27-35
基金类别:
This work was supported jointly by the project of “Chair Professor of Lotus Scholars Program” in Hunan province, the National Natural Science Foundation of China (No. 11672104) and the National Science Fund for Distinguished Young Scholars in China (No. 11225212). The authors also would like to thank the support from the Collaborative Innovation Center of Intelligent New Energy Vehicle, and the Hunan Collaborative Innovation Center for Green Car, and the Science and Technology Plan Project of Hunan Province (2016TP1020).
机构署名:
本校为其他机构
院系归属:
计算机科学与技术学院
物理与电子工程学院
摘要:
A new method for generating M×N-grid double-scroll Rucklidge chaotic attractors is presented. By designing arctangent function series to construct a nonlinear function, which replace the state variables x, y of the Rucklidge system, a new M×N-grid double-scroll chaotic system is created. The formation mechanism of this M×N-grid double-scroll chaotic model is further investigated. Moreover, some basic properties are theoretically analyzed and numerically simulated, including equilibria and their stability, Lyapunov exponents and bifurcation d...

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