数学杂志2017，Vol.37Issue(2)：365-375,11.
异维混沌动力系统的有限时间广义同步
FINITE-TIME GENERALIZED SYNCHRONIZATION OF CHAOTIC DYNAMICAL SYSTEMS WITH DIFFERENT DIMENSIONS
摘要
Abstract
In this paper, finite-time generalized synchronization of chaotic dynamical sys-tems with different dimensions is investigated. Based on the theoretical approaches of finite-time Lyapunov stability theorem and Jensen inequality etc., and by means of setting up different controllers, two kinds of schemes are proposed in theory so as to achieve finite-time generalized synchronization between general drive system and response system with different dimensions. Furthermore, the factors in the second scheme have been theoretically analyzed and proved which have an impact on the synchronization time. Finally, some numerical simulations are presented to verify that the proposed theories are correct and feasible.关键词
异维混沌系统/有限时间Lyapunov稳定性定理/有限时间广义同步/同步时间Key words
chaotic system with different dimensions/finite-time Lyapunov stability theorem/finite-time generalized synchronization/synchronization time分类
数理科学引用本文复制引用
朱泽飞,涂俐兰,吴泽虎..异维混沌动力系统的有限时间广义同步[J].数学杂志,2017,37(2):365-375,11.基金项目
国家自然科学基金资助(61473338) （61473338）
国家自然科学基金资助(61304164). （61304164）
