基于滑模函数分数阶Rikitake混沌系统3个同步方案设计  

Design of Three Synchronization Schemes of Fractional-Order Rikitake Chaotic Systems Based on Sliding Mode Functions

作　　者：孟金涛[1] 毛北行[1] 王东晓[1] 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)

机构地区：[1]郑州航空工业管理学院数学学院,郑州450046

出　　处：《吉林大学学报(理学版)》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)。

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.

关 键 词：分数阶 滑模 同步 混沌系统 

分 类 号：O415.5[理学—理论物理]