Hlder continuity of two types of bidirectionally coupled generalised synchronisation manifold  

作　　者：过榴晓 徐振源 胡爱花 

机构地区：[1]School of Science,Jiangnan University [2]School of Information Technology

出　　处：《Chinese Physics B》2011年第1期215-223,共9页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grants Nos.11002061 and 10901073);the Fundamental Research Funds for the Central Universities,China(Grant No.JUSRP10912)

摘　　要：This paper studies the existence of HSlder continuity of bidireetionally coupled generalised synchronisation （GS）. Based on the slaving principle of synergetics and the modified system approach, it classifies the GS into several types. The existences of two main types of HSlder continuous bidirectionally coupled CS inertial manifolds are theoretically analysed and proved by using the Schauder fixed point theorem. Numerical simulations illustrate the theoretical results.This paper studies the existence of HSlder continuity of bidireetionally coupled generalised synchronisation （GS）. Based on the slaving principle of synergetics and the modified system approach, it classifies the GS into several types. The existences of two main types of HSlder continuous bidirectionally coupled CS inertial manifolds are theoretically analysed and proved by using the Schauder fixed point theorem. Numerical simulations illustrate the theoretical results.

关 键 词：bidirectionally coupled generalised synchronisation manifold Schauder fixed point theorem HSlder continuity 

分 类 号：O186.12[理学—数学]