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进行了结构与参量不确定的网络与网络之间的混沌同步研究.通过设计适当的控制输入, 不但实现了两个复杂网络之间的混沌同步, 而且网络节点状态方程中的未知参量和网络内部节点之间的耦合强度也被同时确定. 通过采用具有调制损耗的CO2 激光器的状态方程进行仿真实验, 发现网络与网络之间的同步性能非常稳定.
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关键词:
- 外同步 /
- 复杂网络 /
- 混沌 /
- Lyapunov定理
Chaos synchronization between complex networks with uncertain structures and unknown parameters is investigated. By designing appropriate control inputs, we achieve the synchronization between two complex networks. The unknown parameters of nodes at two networks and the coupling strength between the nodes are identified simultaneously in the process of synchronization. The CO2 laser equation with modulation loss is taken for example to simulate experiment. It is found that the synchronization performance between two networks is very stable.-
Keywords:
- outer synchronization /
- complex network /
- chaos /
- Lyapunov theorem
[1] Ji D H, Park J H, Yoo W J, Won S C, Lee S M 2010 Phys. Lett. A 374 1218
[2] Kouvaris N, Provata A, Kugiumtzis D 2010 Phys. Lett. A 374 507
[3] Agnes E J, Erichsen Jr R, Brunnet L G 2010 Physica A 389 651
[4] Li K, Lai C H 2008 Phys. Lett. A 372 1601
[5] Hung Y C, Huang Y T, Ho M C, Hu C K 2008 Phys. Rev. E 77 16202
[6] He G M, Yang J Y 2008 Chaos, Solitons and Fractal 38 1254
[7] Checco P, Biey M, Kocarev L 2008 Chaos, Solitons and Fractals 35 562
[8] Pisarchik A N, Jaimes-Reátegui R, Sevilla-Escoboza R, Boccaletti S 2009 Phys. Rev. E 79 55202
[9] Chen L, Qiu C, Huang H B 2009 Phys. Rev. E 79 45101
[10] Li D, Leyva I, Almendral J A, Sendiña-Nadal I, Buldú J M, Havlin S, Boccaletti S 2008 Phys. Rev. Lett. 101 168701
[11] Posadas-Castillo C, Cruz-Hernández C, López-Gutiérrez R M 2009 Chaos, Solitons and Fractals 40 1963
[12] Yu W W, Chen G R, Lü J H 2009 Automatica 45 429
[13] Solis-Perales G, Ruiz-Velázquez E, Valle-Rodriguez D 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 2528
[14] La Rocca C E, Braunstein L A, Macri P A 2009 Phys. Rev. E 80 26111
[15] Shang Y, Chen M Y, Kurths J 2009 Phys. Rev. E 80 27201
[16] Emura T 2006 Phys. Lett. A 349 306
[17] Li Y, Lü L, Luan L 2009 Acta Phys. Sin. 58 4463(in Chinese) [李岩, 吕翎, 栾玲 2009 58 4463]
[18] Selivanov A A, Lehnert J, Dahms T, Hövel P, Fradkov A L, Schöll E 2012 Phys. Rev. E 85 016201
[19] Lü L 2000 Nonlinear dynamics and chaos (Dalian: Dalian Publishing House) (in Chinese) [吕翎 2000 非线性动力学与混沌 (大连: 大连出版社)]
[20] Lü L, Cao H J 2003 Opt. Tech. 29 89 (in Chinese) [吕翎, 曹海静2003光学技术 29 89]
-
[1] Ji D H, Park J H, Yoo W J, Won S C, Lee S M 2010 Phys. Lett. A 374 1218
[2] Kouvaris N, Provata A, Kugiumtzis D 2010 Phys. Lett. A 374 507
[3] Agnes E J, Erichsen Jr R, Brunnet L G 2010 Physica A 389 651
[4] Li K, Lai C H 2008 Phys. Lett. A 372 1601
[5] Hung Y C, Huang Y T, Ho M C, Hu C K 2008 Phys. Rev. E 77 16202
[6] He G M, Yang J Y 2008 Chaos, Solitons and Fractal 38 1254
[7] Checco P, Biey M, Kocarev L 2008 Chaos, Solitons and Fractals 35 562
[8] Pisarchik A N, Jaimes-Reátegui R, Sevilla-Escoboza R, Boccaletti S 2009 Phys. Rev. E 79 55202
[9] Chen L, Qiu C, Huang H B 2009 Phys. Rev. E 79 45101
[10] Li D, Leyva I, Almendral J A, Sendiña-Nadal I, Buldú J M, Havlin S, Boccaletti S 2008 Phys. Rev. Lett. 101 168701
[11] Posadas-Castillo C, Cruz-Hernández C, López-Gutiérrez R M 2009 Chaos, Solitons and Fractals 40 1963
[12] Yu W W, Chen G R, Lü J H 2009 Automatica 45 429
[13] Solis-Perales G, Ruiz-Velázquez E, Valle-Rodriguez D 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 2528
[14] La Rocca C E, Braunstein L A, Macri P A 2009 Phys. Rev. E 80 26111
[15] Shang Y, Chen M Y, Kurths J 2009 Phys. Rev. E 80 27201
[16] Emura T 2006 Phys. Lett. A 349 306
[17] Li Y, Lü L, Luan L 2009 Acta Phys. Sin. 58 4463(in Chinese) [李岩, 吕翎, 栾玲 2009 58 4463]
[18] Selivanov A A, Lehnert J, Dahms T, Hövel P, Fradkov A L, Schöll E 2012 Phys. Rev. E 85 016201
[19] Lü L 2000 Nonlinear dynamics and chaos (Dalian: Dalian Publishing House) (in Chinese) [吕翎 2000 非线性动力学与混沌 (大连: 大连出版社)]
[20] Lü L, Cao H J 2003 Opt. Tech. 29 89 (in Chinese) [吕翎, 曹海静2003光学技术 29 89]
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