重庆理工大学学报2024，Vol.38Issue(13)：264-272,9.DOI:10.3969/j.issn.1674-8425(z).2024.07.033
双参保守复混沌系统的构建及偏置增压控制
Construction of a conservative complex chaotic system with double parameters and biased boosting control
摘要
Abstract
Based on the structure of a classic conservative chaotic system,this paper builds a double-parameter conservative chaotic system capable of generating complex dynamic phenomena.Through theoretical analysis and various numerical simulation methods,the effects of system structural parameters and external force parameters on chaos,conservativeness,equilibrium states,and stability are investigated.Our results indicate with the variations of the parameters,the phase volume of the system remains constant and exhibits chaotic and periodic motion,confirming the impact of parameters on equilibrium states.Additionally,a complex system is built by employing the virtual-physical separation,and its dynamical characteristics are investigated.Our results show the complex system built on a real chaotic system also exhibits chaotic and conservative properties and shows chaos over a wide range of parameter values.A controller is designed to induce biased perturbation in the system and control signal polarity.Finally,the system circuit is designed and simulated,yielding results in conformity with theoretical calculations,demonstrating the physical feasibility of the chaotic system.关键词
双参数保守混沌系统/平衡状态/混沌性和保守性/大参数范围混沌/偏置增压Key words
conservative chaotic system with double parameters/equilibrium state/chaotic and conservative properties/chaotic behavior over a wide range of parameter values/biased perturbation分类
数理科学引用本文复制引用
颜闽秀,邵刘扬..双参保守复混沌系统的构建及偏置增压控制[J].重庆理工大学学报,2024,38(13):264-272,9.基金项目
中国-北马其顿政府间科技合作项目(国科外[2019]22:6-8) （国科外[2019]22:6-8）
辽宁省教育厅基本科研项目(LJKMZ20220779) （LJKMZ20220779）
辽宁省自然科学基金计划项目(2022-BS-211) （2022-BS-211）
沈阳市科技计划项目(22-322-3-38) （22-322-3-38）
