Generalized synchronization of chaotic systems by pure error dynamics and elaborate Lyapunov function
| dc.citation.epage | 5312 | en_US |
| dc.citation.issue | 11 | en_US |
| dc.citation.spage | 5301 | en_US |
| dc.citation.volume | 71 | en_US |
| dc.citation.woscount | 10 | |
| dc.contributor.author | Ge, Zheng-Ming | en_US |
| dc.contributor.author | Chang, Ching-Ming | en_US |
| dc.contributor.department | 機械工程學系 | zh_TW |
| dc.contributor.department | Department of Mechanical Engineering | en_US |
| dc.date.accessioned | 2014-12-08T15:08:05Z | |
| dc.date.available | 2014-12-08T15:08:05Z | |
| dc.date.issued | 2009-12-01 | en_US |
| dc.description.abstract | The generalized synchronization is studied by applying pure error dynamics and elaborate Lyapunov function in this paper. Generalized synchronization can be obtained by pure error dynamics without auxiliary numerical simulation, instead of current mixed error dynamics in which master state variables and slave state variables are presented. The elaborate Lyapunov function is applied rather than the current plain square sum Lyapunov function, deeply weakening the power of Lyapunov direct method. The scheme is successfully applied to both autonomous and nonautonomous double Mathieu systems with numerical simulations. (C) 2009 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.na.2009.04.020 | en_US |
| dc.identifier.issn | 0362-546X | en_US |
| dc.identifier.journal | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1016/j.na.2009.04.020 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/6333 | |
| dc.identifier.wosnumber | WOS:000270609500021 | |
| dc.language.iso | en_US | en_US |
| dc.subject | Chaos | en_US |
| dc.subject | Generalized synchronization | en_US |
| dc.subject | Double Mathieu system | en_US |
| dc.subject | Lyapunov function | en_US |
| dc.subject | Lyapunov direct method | en_US |
| dc.title | Generalized synchronization of chaotic systems by pure error dynamics and elaborate Lyapunov function | en_US |
| dc.type | Article | en_US |