Volume 5, Issue 3
Further Analysis of Global Synchronisation for Networks of Identical Cells with Delayed Coupling

Chun-Hsien Li & Ren-Chuen Chen

East Asian J. Appl. Math., 5 (2015), pp. 238-255.

Published online: 2018-02

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  • Abstract

Synchronisation is one of the most interesting collective motions observed in large-scale complex networks of interacting dynamical systems. We consider global synchronisation for networks of nonlinearly coupled identical cells with time delays, using an approach where the synchronisation problem is converted to solving an homogeneous linear system. This approach is extended to fit networks under more general coupling topologies, and we derive four delay-dependent and delay-independent criteria that ensure the coupled dynamical network is globally synchronised. Some examples show that the four criteria are not mutually inclusive, and numerical simulations also demonstrate our theoretical results.

  • Keywords

Synchronisation, complex networks, coupled system, time delay.

  • AMS Subject Headings

05C82, 34C15, 34D06, 92B20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-5-238, author = {Chun-Hsien Li , and Chen , Ren-Chuen}, title = {Further Analysis of Global Synchronisation for Networks of Identical Cells with Delayed Coupling}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {5}, number = {3}, pages = {238--255}, abstract = {

Synchronisation is one of the most interesting collective motions observed in large-scale complex networks of interacting dynamical systems. We consider global synchronisation for networks of nonlinearly coupled identical cells with time delays, using an approach where the synchronisation problem is converted to solving an homogeneous linear system. This approach is extended to fit networks under more general coupling topologies, and we derive four delay-dependent and delay-independent criteria that ensure the coupled dynamical network is globally synchronised. Some examples show that the four criteria are not mutually inclusive, and numerical simulations also demonstrate our theoretical results.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.300115.140715a}, url = {http://global-sci.org/intro/article_detail/eajam/10803.html} }
TY - JOUR T1 - Further Analysis of Global Synchronisation for Networks of Identical Cells with Delayed Coupling AU - Chun-Hsien Li , AU - Chen , Ren-Chuen JO - East Asian Journal on Applied Mathematics VL - 3 SP - 238 EP - 255 PY - 2018 DA - 2018/02 SN - 5 DO - http://doi.org/10.4208/eajam.300115.140715a UR - https://global-sci.org/intro/article_detail/eajam/10803.html KW - Synchronisation, complex networks, coupled system, time delay. AB -

Synchronisation is one of the most interesting collective motions observed in large-scale complex networks of interacting dynamical systems. We consider global synchronisation for networks of nonlinearly coupled identical cells with time delays, using an approach where the synchronisation problem is converted to solving an homogeneous linear system. This approach is extended to fit networks under more general coupling topologies, and we derive four delay-dependent and delay-independent criteria that ensure the coupled dynamical network is globally synchronised. Some examples show that the four criteria are not mutually inclusive, and numerical simulations also demonstrate our theoretical results.

Chun-Hsien Li & Ren-ChuenChen. (2019). Further Analysis of Global Synchronisation for Networks of Identical Cells with Delayed Coupling. East Asian Journal on Applied Mathematics. 5 (3). 238-255. doi:10.4208/eajam.300115.140715a
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