Original Articles |
|
|
|
|
Synchronization between Different Networks |
LI Ying1;LIU Zeng-Rong2;ZHANG Jian-Bao1 |
1Department of Mathematics, Shanghai University, Shanghai 2004442Institute of Systems Biology, Shanghai University, Shanghai 200444 |
|
Cite this article: |
LI Ying, LIU Zeng-Rong, ZHANG Jian-Bao 2008 Chin. Phys. Lett. 25 874-877 |
|
|
Abstract Synchronization between two networks with different topology structures and different dynamical behaviours is studied. These two different networks are driving and responding networks, respectively. Under the preconditions that the driving network gets synchronization, we give the conditions for the responding network to be synchronized to the same dynamics as the driving network with the help of the open-plus-closed-loop method. Then a example is given to verify the validity of the theoretical results.
|
Keywords:
05.45.Xt
03.65.Vf
|
|
Received: 27 November 2007
Published: 27 February 2008
|
|
PACS: |
05.45.Xt
|
(Synchronization; coupled oscillators)
|
|
03.65.Vf
|
(Phases: geometric; dynamic or topological)
|
|
|
|
|
[1] Strogatz S H 2001 Nature 410 268 [2] Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821 [3] Ma Z, Liu Z and Zhang G 2006 Chaos 16 023103 [4] Zhang J, Liu Z and Li Y 2007 Chin. Phys. Lett. 24(6) 1494 [5] Li C, Sun W and Kurths J 2007 Phys. Rev. E 76046204 [6] Li Y, Liu Z and Zhang J 2007 Chin. Phys. 16(9)2587 [7] Jackson E A and Grosu I 1995 Physica D 85 1 [8] Pecora L M and Carroll T L 1998 Phys. Rev. Lett. 80 2109 [9] Belykh V N, Belykh I V and Hasler M 2004 Physica D 195 159 [10] Belykh I V, Belykh V N and Hasler M 2006 Chaos 16 015102 [11] Nishikawa T and Motter A E 2006 Phys. Rev. E 73 065106(R) [12] Lerescu A I, Constandache N, Oancea S and Grosu I 2004 Chaos Solit. Frac. 22 599 [13] Sprott J C 1994 Phys. Rev. E 55(5) 5285 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|