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Reliability of linear coupling synchronization of hyperchaotic systems with unknown parameters

Chinese Physics B 2013年第10期22卷 146-153页

作者：李凡王春妮马军 Department of Physics Lanzhou University of Technology

Complete synchronization could be reached between some chaotic and/or hyperchaotic systems under linear coupling. More generally, the conditional Lyapunov exponents are often calculated to confirm the stability of synchronization and reliability of linear controllers. In this paper, detailed proof and measurement of the reliability of linear controllers are given by constructing a Lyapunov function in the exponential form. It is confirmed that two hyperchaotic systems can reach complete synchronization when two linear controllers are imposed on the driven system unidirectionally and the unknown parameters in the driving systems are estimated completely. Finally, it gives the general guidance to reach complete synchronization under linear coupling for other chaotic and hyperchaotic systems with unknown parameters.

关键词： parameter estimation exponential Lyapunov function parameter observer linear coupling

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Chaotic synchronization in Bose Einstein condensate of moving optical lattices via linear coupling

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Chinese Physics B 2015年第11期24卷 151-156页

作者：张志颖冯秀琴姚治海贾洪洋 School of Science Changchun University of Science and Technology

A systematic study of the chaotic synchronization of Bose-Einstein condensed body is performed using linear cou- pling method based on Lyapunov stability theory, Sylvester＇s criterion, and Gerschgorin disc theorem. The chaotic synchro- nization of Bose-Einstein condensed body in moving optical lattices is realized by linear coupling. The relationship be- tween the synchronization time and coupling coefficient is obtained. Both the single-variable coupling and double-variable coupling are effective. The results of numerical calculation prove that the chaotic synchronization of double-variable cou- pling is faster than that of single-variable coupling and small coupling coefficient can achieve the chaotic synchronization. Weak noise has little influence on synchronization effect, so the linear coupling technology is suitable for the chaotic synchronization of Bose-Einstein condensate.

关键词： Bose-Einstein condensate linear coupling chaos synchronization Lyapunov stability theory

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SLIM – a formalism for linear coupled systems

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Chinese Physics C 2009年第S2期33卷 115-120页

作者：赵午 Stanford linear Accelerator Center Stanford CA 94309

A SLIM formalism to deal with a general, linearly coupled accelerator lattice is summarized. Its application to a wide range of accelerator calculations is emphasized.

关键词： linear coupling eigen modes beam emittance depolarization time SLIM

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Finite-time Synchronization of Coupled Cohen-Grossberg Neural Networks with Time-varying Delays 36

Finite-time Synchronization of Coupled Cohen-Grossberg Neura...

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第36届中国控制会议

作者： Shui-Han Qiu Yan-Li Huang Jin-Liang Wang Shun-Yan Ren Dong-Fang Liu School of Computer Science and Software Engineering Tianjin Polytechnic University School of Mechanical Engineering Tianjin Polytechnic University

ISBN: (纸本)9781538629185

This paper is concerned with flnite-time synchronization for two models of coupled Cohen-Grossberg neural networks with time-varying *** the first one,linearly coupled Cohen-Grossberg neural networks is *** the second one,nonlinearly coupled Cohen-Grossberg neural networks is *** on flnite-time stability theory,some inequality techniques,and designed controllers,some criteria which make the coupled Cohen-Grossberg neural networks with linear coupling and nonlinear coupling realize synchronization are derived ***,the settling times of synchronization are also ***,a numerical example is given to confirm the effectiveness of the proposed results.

关键词： Finite-time synchronization Coupled Cohen-Grossberg neural networks Nonlinear coupling linear coupling Time-varying delays

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