Anticontrol of chaos of the fractional order modified van der Pol systems
| dc.citation.epage | 1172 | en_US |
| dc.citation.issue | 2 | en_US |
| dc.citation.spage | 1161 | en_US |
| dc.citation.volume | 187 | en_US |
| dc.citation.woscount | 2 | |
| dc.contributor.author | Ge, Zheng-Ming | en_US |
| dc.contributor.author | Zhang, An-Ray | 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 | 2014-12-08T15:14:17Z | |
| dc.date.available | 2014-12-08T15:14:17Z | |
| dc.date.issued | 2007-04-15 | en_US |
| dc.description.abstract | Anticontrol of chaos of fractional order modified van der Pol systems is studied. Addition of a constant term and addition of k vertical bar x vertical bar sinx term where x is a state of the system are used to anticontrol the system effectively. By applying numerical results, phase portrait, Poincare maps and bifurcation diagrams a variety of the phenomena of the chaotic motion can be presented. Finally, it can be find that chaos under these procedures exists in the fractional order systems of a modified van der Pol system. (c) 2006 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.amc.2006.09.086 | en_US |
| dc.identifier.issn | 0096-3003 | en_US |
| dc.identifier.journal | APPLIED MATHEMATICS AND COMPUTATION | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1016/j.amc.2006.09.086 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/10915 | |
| dc.identifier.wosnumber | WOS:000248545300063 | |
| dc.language.iso | en_US | en_US |
| dc.subject | chaos | en_US |
| dc.subject | fractional order system | en_US |
| dc.subject | van der Pol equation | en_US |
| dc.subject | modified van der Pol system | en_US |
| dc.subject | anticontrol | en_US |
| dc.title | Anticontrol of chaos of the fractional order modified van der Pol systems | en_US |
| dc.type | Article | en_US |