Control and switching synchronization of fractional order chaotic systems using active control technique
This paper discusses the continuous effect of the fractional order parameter of the Lü system where the system response starts stable, passing by chaotic behavior then reaching periodic response as the fractional-order increases. In addition, this paper presents the concept of synchronization of dif...
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| Format: | Online |
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Elsevier
2014
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4294745/ |
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pubmed-42947452015-02-14 Control and switching synchronization of fractional order chaotic systems using active control technique Radwan, A.G. Moaddy, K. Salama, K.N. Momani, S. Hashim, I. Original Article This paper discusses the continuous effect of the fractional order parameter of the Lü system where the system response starts stable, passing by chaotic behavior then reaching periodic response as the fractional-order increases. In addition, this paper presents the concept of synchronization of different fractional order chaotic systems using active control technique. Four different synchronization cases are introduced based on the switching parameters. Also, the static and dynamic synchronizations can be obtained when the switching parameters are functions of time. The nonstandard finite difference method is used for the numerical solution of the fractional order master and slave systems. Many numeric simulations are presented to validate the concept for different fractional order parameters. Elsevier 2014-01 2013-03-13 /pmc/articles/PMC4294745/ /pubmed/25685479 http://dx.doi.org/10.1016/j.jare.2013.01.003 Text en © 2014 Cairo University. Production and hosting by Elsevier B.V. All rights reserved. http://creativecommons.org/licenses/by-nc-nd/3.0/ This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/3.0/). |
| repository_type |
Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
| building |
NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Radwan, A.G. Moaddy, K. Salama, K.N. Momani, S. Hashim, I. |
| spellingShingle |
Radwan, A.G. Moaddy, K. Salama, K.N. Momani, S. Hashim, I. Control and switching synchronization of fractional order chaotic systems using active control technique |
| author_facet |
Radwan, A.G. Moaddy, K. Salama, K.N. Momani, S. Hashim, I. |
| author_sort |
Radwan, A.G. |
| title |
Control and switching synchronization of fractional order chaotic systems using active control technique |
| title_short |
Control and switching synchronization of fractional order chaotic systems using active control technique |
| title_full |
Control and switching synchronization of fractional order chaotic systems using active control technique |
| title_fullStr |
Control and switching synchronization of fractional order chaotic systems using active control technique |
| title_full_unstemmed |
Control and switching synchronization of fractional order chaotic systems using active control technique |
| title_sort |
control and switching synchronization of fractional order chaotic systems using active control technique |
| description |
This paper discusses the continuous effect of the fractional order parameter of the Lü system where the system response starts stable, passing by chaotic behavior then reaching periodic response as the fractional-order increases. In addition, this paper presents the concept of synchronization of different fractional order chaotic systems using active control technique. Four different synchronization cases are introduced based on the switching parameters. Also, the static and dynamic synchronizations can be obtained when the switching parameters are functions of time. The nonstandard finite difference method is used for the numerical solution of the fractional order master and slave systems. Many numeric simulations are presented to validate the concept for different fractional order parameters. |
| publisher |
Elsevier |
| publishDate |
2014 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4294745/ |
| _version_ |
1613176786133188608 |