Combined Synchronization among Three Inconsistent Networks
A new type of network-combination synchronization is proposed between two drive networks, small-world and scale-free, and one response community network based on the model of multiple system combination. According to Lyapunov Stability Theorem, combined controllers are designed to control three disp...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/2085318 |
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| _version_ | 1832555528653373440 |
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| author | Yuan Chai Xiaojing Zhu Jingjing Cai |
| author_facet | Yuan Chai Xiaojing Zhu Jingjing Cai |
| author_sort | Yuan Chai |
| collection | DOAJ |
| description | A new type of network-combination synchronization is proposed between two drive networks, small-world and scale-free, and one response community network based on the model of multiple system combination. According to Lyapunov Stability Theorem, combined controllers are designed to control three disparate networks with different topological structures. A realistic combination model of multiple inhomogeneous networks and a universal controller are devised in the combination design. The paper is characterized by two parts of one response community network loaded from the combined signals of two drive networks. Numerical simulations are presented to show the full and partial control of the proposed method. |
| format | Article |
| id | doaj-art-4afdc51777ac43c6ac653dbc5726e036 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-4afdc51777ac43c6ac653dbc5726e0362025-02-03T05:47:55ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/20853182085318Combined Synchronization among Three Inconsistent NetworksYuan Chai0Xiaojing Zhu1Jingjing Cai2School of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 201300, ChinaSchool of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 201300, ChinaSchool of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 201300, ChinaA new type of network-combination synchronization is proposed between two drive networks, small-world and scale-free, and one response community network based on the model of multiple system combination. According to Lyapunov Stability Theorem, combined controllers are designed to control three disparate networks with different topological structures. A realistic combination model of multiple inhomogeneous networks and a universal controller are devised in the combination design. The paper is characterized by two parts of one response community network loaded from the combined signals of two drive networks. Numerical simulations are presented to show the full and partial control of the proposed method.http://dx.doi.org/10.1155/2019/2085318 |
| spellingShingle | Yuan Chai Xiaojing Zhu Jingjing Cai Combined Synchronization among Three Inconsistent Networks Advances in Mathematical Physics |
| title | Combined Synchronization among Three Inconsistent Networks |
| title_full | Combined Synchronization among Three Inconsistent Networks |
| title_fullStr | Combined Synchronization among Three Inconsistent Networks |
| title_full_unstemmed | Combined Synchronization among Three Inconsistent Networks |
| title_short | Combined Synchronization among Three Inconsistent Networks |
| title_sort | combined synchronization among three inconsistent networks |
| url | http://dx.doi.org/10.1155/2019/2085318 |
| work_keys_str_mv | AT yuanchai combinedsynchronizationamongthreeinconsistentnetworks AT xiaojingzhu combinedsynchronizationamongthreeinconsistentnetworks AT jingjingcai combinedsynchronizationamongthreeinconsistentnetworks |