超混沌金融系统的同步控制  

Synchronization Control of Hyperchaotic Financial System

作　　者：陈辰 饶若峰[1] 林芝 艾小全 李燕 刘星悦 黄家琳 CHEN Chen;RAO Ruofeng;LIN Zhi;AI Xiaoquan;LI Yan;LIU Xingyue;HUANG Jialin(Department of Mathematics,Chengdu Normal University,Chengdu,Sichuan 611130,China;Department of Mathematics,Sichuan Sanhe Vocational College,Luzhou,Sichuan 646200,China;School of Mathematics,Yibin University,Yibin,Sichuan 644007,China)

机构地区：[1]成都师范学院数学系,四川成都611130 [2]四川三河职业学院数学系,四川泸州646200 [3]宜宾学院数学学院,四川宜宾644007

出　　处：《宜宾学院学报》2022年第6期85-89,共5页Journal of Yibin University

基　　金：四川省科技厅应用基础研究项目(2020YJ0434);2019年国家级大学生双创项目(201914389037)。

摘　　要：在考虑商品的弹性需求与区域有关等特性后,研究了脉冲控制下的一类具有延迟反馈的马尔可夫跳跃超混沌延迟反馈反应扩散金融系统模型,利用李雅普诺夫函数法和变分法以及脉冲控制技术,使得不同初值的驱动系统与响应系统达到全局渐近同步.这在金融实践上表现为经济起点不同的地区,可以在脉冲式经济措施下实现经济落后地区与经济发达地区的经济指标同步发展.特别地,反应扩散模型带来了偏微分系统的动力估计问题,但通过利用经济指标的有界性合理假设以及变分技巧最终克服了这个困难.After considering the characteristics of the elastic demand of goods related to the region,a kind of Markovian jump hy⁃perchaotic delayed feedback reaction-diffusion financial system model with delayed feedback under impulsive control is studied.The driving system and response system with different initial values are globally asymptotically synchronized by using Lyapunov function method,variational method and impulsive control technology.In financial practice,this shows that areas with different economic starting points can realize the synchronous development of economic indicators between economically backward areas and economically developed areas under impulse economic measures.In particular,the reaction-diffusion model brings the prob⁃lem of dynamic estimation of partial differential systems,but this difficulty is finally overcome by using the reasonable bounded⁃ness assumption of economic indicators and variational technique.

关 键 词：同步 金融系统 混沌 反应扩散 平均利润率 

分 类 号：O193[理学—数学] F832[理学—基础数学]