深圳大学学报（理工版）2024，Vol.41Issue(1)：108-117,10.DOI:10.3724/SP.J.1249.2024.01108
含大范围参数四维混沌系统的吸引子共存
Coexistence of attractors in four-dimensional chaotic system with a wide range of parameters
摘要
Abstract
An newly-developed four-dimensional chaotic system is proposed to address the complex chaotic systems required for image encryption and secure communication.Based on the three-dimensional chaotic system constructed by YANG and CHENG,the fourth dimension is added to obtain the new four-dimensional chaotic system.The dynamic analysis of new system is carried out by using bifurcation diagrams and Lyapunov exponent spectra,which indicates the existence of chaotic characteristics over a large parameter range.By changing the initial values of system,coexistence of various attractors such as periodic with periodic,periodic with quasiperiodic,and chaotic with multiple attractors are obtained.The use of multi-angle observation of phase portrait and Poincare section shows that the parameter k of system can control the attractor scaling in phase space,and the attractor phase diagram can further stop shrinking when k reaches a certain value.By designing an offset boosting controller for new system,it is demonstrated that the system can change signal polarity in engineering applications.NIST test results show that the new system has positive pseudo-randomness.The new system has great potential value in practical applications.关键词
混沌/大范围参数混沌/共存吸引子/四维混沌系统/伸缩参数/偏移升压/NIST测试/保密通信Key words
chaotic/wide range parameter chaos/coexistence attractors/four-dimensional chaotic system/scaling parameter/offset boost/NIST test/secure communication分类
数理科学引用本文复制引用
颜闽秀,朱君洋..含大范围参数四维混沌系统的吸引子共存[J].深圳大学学报（理工版）,2024,41(1):108-117,10.基金项目
China-Macedonia Intergovernmental Scientific and Technological Cooperation Project([2019]22:6-8) （[2019]22:6-8）
Basic Scientific Research Project of Liaoning Provincial Department of Education(LJKMZ20220779) （LJKMZ20220779）
Natural Science Foundation of Liaoning Province(2022-BS-211) 国家科技部中国-北马其顿政府间科技合作基金资助项目(国科外[2019]22:6-8) （2022-BS-211）
辽宁省教育厅基本科研项目(LJKMZ20220779) （LJKMZ20220779）
辽宁省自然科学基金资助项目(2022-BS-211) （2022-BS-211）
