Synchronization Analysis of Two Coupled Complex Networks with Time Delays
This paper studies the synchronized motions between two complex networks with time delays, which include individual inner synchronization in each network and outer synchronization between two networks. Based on the Lyapunov stability theory and the linear matrix equality (LMI), a synchronous criteri...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/209321 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566716400402432 |
|---|---|
| author | Weigang Sun Jingyuan Zhang Changpin Li |
| author_facet | Weigang Sun Jingyuan Zhang Changpin Li |
| author_sort | Weigang Sun |
| collection | DOAJ |
| description | This paper studies the synchronized motions between two complex networks with time delays,
which include individual inner synchronization in each network and outer synchronization between
two networks. Based on the Lyapunov stability theory and the linear matrix equality (LMI), a
synchronous criterion for inner synchronization inside each network is derived. Numerical examples
are given which fit the theoretical analysis. In addition, the involved numerical results show that
the delays between two networks have little effect on inner synchronization. It is also shown that
synchronous motions within each network or between two networks are not enhanced if individual
intranetwork connections are allowed. |
| format | Article |
| id | doaj-art-dc610e300e864af38d8b59e39da761a3 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-dc610e300e864af38d8b59e39da761a32025-02-03T01:03:29ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/209321209321Synchronization Analysis of Two Coupled Complex Networks with Time DelaysWeigang Sun0Jingyuan Zhang1Changpin Li2School of Science, Hangzhou Dianzi University, Hangzhou 310018, ChinaSchool of Science, Hangzhou Dianzi University, Hangzhou 310018, ChinaDepartment of Mathematics, Shanghai University, Shanghai 200444, ChinaThis paper studies the synchronized motions between two complex networks with time delays, which include individual inner synchronization in each network and outer synchronization between two networks. Based on the Lyapunov stability theory and the linear matrix equality (LMI), a synchronous criterion for inner synchronization inside each network is derived. Numerical examples are given which fit the theoretical analysis. In addition, the involved numerical results show that the delays between two networks have little effect on inner synchronization. It is also shown that synchronous motions within each network or between two networks are not enhanced if individual intranetwork connections are allowed.http://dx.doi.org/10.1155/2011/209321 |
| spellingShingle | Weigang Sun Jingyuan Zhang Changpin Li Synchronization Analysis of Two Coupled Complex Networks with Time Delays Discrete Dynamics in Nature and Society |
| title | Synchronization Analysis of Two Coupled Complex Networks with Time Delays |
| title_full | Synchronization Analysis of Two Coupled Complex Networks with Time Delays |
| title_fullStr | Synchronization Analysis of Two Coupled Complex Networks with Time Delays |
| title_full_unstemmed | Synchronization Analysis of Two Coupled Complex Networks with Time Delays |
| title_short | Synchronization Analysis of Two Coupled Complex Networks with Time Delays |
| title_sort | synchronization analysis of two coupled complex networks with time delays |
| url | http://dx.doi.org/10.1155/2011/209321 |
| work_keys_str_mv | AT weigangsun synchronizationanalysisoftwocoupledcomplexnetworkswithtimedelays AT jingyuanzhang synchronizationanalysisoftwocoupledcomplexnetworkswithtimedelays AT changpinli synchronizationanalysisoftwocoupledcomplexnetworkswithtimedelays |