Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems
Time delay is a frequently encountered phenomenon in some practical engineering systems and introducing time delay into a system can enrich its dynamic characteristics. There has been a plenty of interesting results on fractional-order chaotic systems or integer-order delayed chaotic systems, but th...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/5184032 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554229075542016 |
|---|---|
| author | Bo Li Xiaobing Zhou Yun Wang |
| author_facet | Bo Li Xiaobing Zhou Yun Wang |
| author_sort | Bo Li |
| collection | DOAJ |
| description | Time delay is a frequently encountered phenomenon in some practical engineering systems and introducing time delay into a system can enrich its dynamic characteristics. There has been a plenty of interesting results on fractional-order chaotic systems or integer-order delayed chaotic systems, but the problem of synchronization of fractional-order chaotic systems with time delays is in the primary stage. Combination synchronization of three different fractional-order delayed chaotic systems is investigated in this paper. It is an extension of combination synchronization of delayed chaotic systems or combination synchronization of fractional-order chaotic systems. With the help of stability theory of linear fractional-order systems with multiple time delays, we design controllers to achieve combination synchronization of three different fractional-order delayed chaotic systems. In addition, numerical simulations have been performed to demonstrate and verify the theoretical analysis. |
| format | Article |
| id | doaj-art-83989255e3274e9faedc0400056c1b85 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-83989255e3274e9faedc0400056c1b852025-02-03T05:52:07ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/51840325184032Combination Synchronization of Three Different Fractional-Order Delayed Chaotic SystemsBo Li0Xiaobing Zhou1Yun Wang2School of Computer Science and Engineering, Southeast University, Nanjing 211189, ChinaSchool of Information Science and Engineering, Yunnan University, Kunming 650091, ChinaSchool of Computer Science and Engineering, Southeast University, Nanjing 211189, ChinaTime delay is a frequently encountered phenomenon in some practical engineering systems and introducing time delay into a system can enrich its dynamic characteristics. There has been a plenty of interesting results on fractional-order chaotic systems or integer-order delayed chaotic systems, but the problem of synchronization of fractional-order chaotic systems with time delays is in the primary stage. Combination synchronization of three different fractional-order delayed chaotic systems is investigated in this paper. It is an extension of combination synchronization of delayed chaotic systems or combination synchronization of fractional-order chaotic systems. With the help of stability theory of linear fractional-order systems with multiple time delays, we design controllers to achieve combination synchronization of three different fractional-order delayed chaotic systems. In addition, numerical simulations have been performed to demonstrate and verify the theoretical analysis.http://dx.doi.org/10.1155/2019/5184032 |
| spellingShingle | Bo Li Xiaobing Zhou Yun Wang Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems Complexity |
| title | Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems |
| title_full | Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems |
| title_fullStr | Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems |
| title_full_unstemmed | Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems |
| title_short | Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems |
| title_sort | combination synchronization of three different fractional order delayed chaotic systems |
| url | http://dx.doi.org/10.1155/2019/5184032 |
| work_keys_str_mv | AT boli combinationsynchronizationofthreedifferentfractionalorderdelayedchaoticsystems AT xiaobingzhou combinationsynchronizationofthreedifferentfractionalorderdelayedchaoticsystems AT yunwang combinationsynchronizationofthreedifferentfractionalorderdelayedchaoticsystems |