摘要
用滑模同步理论和滑模动态方法研究分数阶Rikitake不确定混沌系统滑模同步,绘制Rikitake混沌系统吸引子相图,根据分数阶微积分,构造3个滑模函数,给出3个同步方案,并对3个同步方案进行对比和分析.结果表明:分数阶Rikitake不确定混沌系统在一定条件下可取得滑模同步.
By using sliding mode synchronization theory and sliding mode dynamic methods,we studied sliding mode synchronization of fractional-order Rikitake uncertain chaotic systems and drew the attractor phase diagrams of Rikitake chaotic systems.According to fractional-order calcul us,we constructed three sliding mode functions,gave three synchronization schemes,and compared and analyzed three synchronization schemes.The results show that fr actional-order Rikitake uncertain chaotic system can achieve sliding mode synchronization under certain conditions.
作者
孟金涛
毛北行
王东晓
焦建锋
陈灿
MENG Jintao;MAO Beixing;WANG Dongxiao;JIAO Jianfeng;CHEN Can(School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China)
出处
《吉林大学学报(理学版)》
北大核心
2025年第2期595-600,共6页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:12401655)
河南省高等学校重点科研项目(批准号:24ZX008)。
关键词
分数阶
滑模
同步
混沌系统
fractional-order
sliding mode
synchronization
chaotic system
