Generalized Outer Synchronization between Complex Networks with Unknown Parameters
As is well known, complex networks are ubiquitous in the real world. One network always behaves differently from but still coexists in balance with others. This phenomenon of harmonious coexistence between different networks can be termed as “generalized outer synchronization (GOS).” This paper inve...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/802859 |
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| _version_ | 1832549811873644544 |
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| author | Di Ning Xiaoqun Wu Jun-an Lu Hui Feng |
| author_facet | Di Ning Xiaoqun Wu Jun-an Lu Hui Feng |
| author_sort | Di Ning |
| collection | DOAJ |
| description | As is well known, complex networks are ubiquitous in the real world. One network always behaves differently from but still coexists in balance with others. This phenomenon
of harmonious coexistence between different networks can be termed as “generalized outer synchronization (GOS).” This paper investigates GOS between two different complex dynamical networks with unknown parameters according to two different methods. When the exact functional relations between the two networks are previously known, a sufficient criterion for GOS is derived based on Barbalat's lemma. If the functional relations are not known, the auxiliary-system method is employed and a sufficient criterion for GOS is derived. Numerical simulations are further provided to demonstrate the feasibility and effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-9efcc70575234553a9027ca063b87d71 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9efcc70575234553a9027ca063b87d712025-02-03T06:08:31ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/802859802859Generalized Outer Synchronization between Complex Networks with Unknown ParametersDi Ning0Xiaoqun Wu1Jun-an Lu2Hui Feng3School of Mathematics and Statistics, Wuhan University, Wuhan 430072, ChinaSchool of Mathematics and Statistics, Wuhan University, Wuhan 430072, ChinaSchool of Mathematics and Statistics, Wuhan University, Wuhan 430072, ChinaSchool of Mathematics and Statistics, Wuhan University, Wuhan 430072, ChinaAs is well known, complex networks are ubiquitous in the real world. One network always behaves differently from but still coexists in balance with others. This phenomenon of harmonious coexistence between different networks can be termed as “generalized outer synchronization (GOS).” This paper investigates GOS between two different complex dynamical networks with unknown parameters according to two different methods. When the exact functional relations between the two networks are previously known, a sufficient criterion for GOS is derived based on Barbalat's lemma. If the functional relations are not known, the auxiliary-system method is employed and a sufficient criterion for GOS is derived. Numerical simulations are further provided to demonstrate the feasibility and effectiveness of the theoretical results.http://dx.doi.org/10.1155/2013/802859 |
| spellingShingle | Di Ning Xiaoqun Wu Jun-an Lu Hui Feng Generalized Outer Synchronization between Complex Networks with Unknown Parameters Abstract and Applied Analysis |
| title | Generalized Outer Synchronization between Complex Networks with Unknown Parameters |
| title_full | Generalized Outer Synchronization between Complex Networks with Unknown Parameters |
| title_fullStr | Generalized Outer Synchronization between Complex Networks with Unknown Parameters |
| title_full_unstemmed | Generalized Outer Synchronization between Complex Networks with Unknown Parameters |
| title_short | Generalized Outer Synchronization between Complex Networks with Unknown Parameters |
| title_sort | generalized outer synchronization between complex networks with unknown parameters |
| url | http://dx.doi.org/10.1155/2013/802859 |
| work_keys_str_mv | AT dining generalizedoutersynchronizationbetweencomplexnetworkswithunknownparameters AT xiaoqunwu generalizedoutersynchronizationbetweencomplexnetworkswithunknownparameters AT junanlu generalizedoutersynchronizationbetweencomplexnetworkswithunknownparameters AT huifeng generalizedoutersynchronizationbetweencomplexnetworkswithunknownparameters |