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一类分数阶超混沌系统的修正函数投影同步

耿彦峰 王立志

宁夏大学学报(自然科学版)2017,Vol.38Issue(3):234-237,4.
宁夏大学学报(自然科学版)2017,Vol.38Issue(3):234-237,4.

一类分数阶超混沌系统的修正函数投影同步

Modified Function Projective Synchronization of A Class of Fractional-order Hyperchaotic Systems

耿彦峰 1王立志1

作者信息

  • 1. 忻州师范学院数学系,山西忻州 034000
  • 折叠

摘要

Abstract

Modified function projective synchronization of a class of fractional-order hyperchaotic systems with uncertain parameters are investigated in this paper.The chaos behavior is displayed when the parameters are specified as certain fixed values.A controlling scheme of adaptive modified function projective synchronization is designed by structuring a suitable response system.Based on stability theory of the fractional-order differential systems,it is concluded that master system and response system arrive to adaptive modified function projective synchronization by choosing appropriate controller and adaptive law,and the uncertain parameters of master system could be estimated.Finally,an illustrative example with simulations via Adams-Bashforth-Moultom algorithm is used to demonstrate the validity and feasibility of the proposed results.

关键词

分数阶/超混沌系统/修正函数/投影同步/数值仿真

Key words

fractional-order/hyperchaotic system/modified function/projective synchronization/numerical simulation

分类

数理科学

引用本文复制引用

耿彦峰,王立志..一类分数阶超混沌系统的修正函数投影同步[J].宁夏大学学报(自然科学版),2017,38(3):234-237,4.

基金项目

国家自然科学基金资助项目(11301426) (11301426)

宁夏大学学报(自然科学版)

OACSTPCD

0253-2328

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