Hölder continuity of two types of bidirectionally coupled generalised synchronisation manifold

doi:10.1088/1674-1056/20/1/010507

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 10507-010507.doi: 10.1088/1674-1056/20/1/010507

Hölder continuity of two types of bidirectionally coupled generalised synchronisation manifold

徐振源¹, 过榴晓², 胡爱花²

(1)School of Science, Jiangnan University, Wuxi 214122, China; (2)School of Science, Jiangnan University, Wuxi 214122, China;School of Information Technology, Jiangnan University, Wuxi 214122, China

收稿日期:2009-08-10 修回日期:2010-08-08 出版日期:2011-01-15 发布日期:2011-01-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grants Nos. 11002061 and 10901073) and the Fundamental Research Funds for the Central Universities, China (Grant No. JUSRP10912).

Hölder continuity of two types of bidirectionally coupled generalised synchronisation manifold

Guo Liu-Xiao(过榴晓)^a)b)^†, Xu Zhen-Yuan(徐振源)^a),and Hu Ai-Hua(胡爱花)^a)b)

^a School of Science, Jiangnan University, Wuxi 214122, China; ^b School of Information Technology, Jiangnan University, Wuxi 214122, China

Received:2009-08-10 Revised:2010-08-08 Online:2011-01-15 Published:2011-01-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grants Nos. 11002061 and 10901073) and the Fundamental Research Funds for the Central Universities, China (Grant No. JUSRP10912).

摘要/Abstract

摘要： This paper studies the existence of Höolder continuity of bidirectionally 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 H"older continuous bidirectionally coupled GS 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, Hö, lder continuity

Abstract: This paper studies the existence of Höolder continuity of bidirectionally 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 Hölder continuous bidirectionally coupled GS inertial manifolds are theoretically analysed and proved by using the Schauder fixed point theorem. Numerical simulations illustrate the theoretical results.

Key words: bidirectionally coupled, generalised synchronisation manifold, Schauder fixed point theorem, Hölder continuity

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Xt (Synchronization; coupled oscillators)

过榴晓, 徐振源, 胡爱花. Hölder continuity of two types of bidirectionally coupled generalised synchronisation manifold[J]. 中国物理B, 2011, 20(1): 10507-010507.

Guo Liu-Xiao(过榴晓), Xu Zhen-Yuan(徐振源), and Hu Ai-Hua(胡爱花) . Hölder continuity of two types of bidirectionally coupled generalised synchronisation manifold[J]. Chin. Phys. B, 2011, 20(1): 10507-010507.

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Hölder continuity of two types of bidirectionally coupled generalised synchronisation manifold

Hölder continuity of two types of bidirectionally coupled generalised synchronisation manifold

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