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Synchronization and Pattern Dynamics of Coupled Chaotic Maps on Complex Networks |
SHEN Yu, HOU Zhong-Huai, XIN Hou-Wen |
Hefei National Lab for Physical Sciences at Microscale, Department of Chemical Physics, University of Science and Technology of China, Hefei 230026 |
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Cite this article: |
SHEN Yu, HOU Zhong-Huai, XIN Hou-Wen 2008 Chin. Phys. Lett. 25 3875-3878 |
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Abstract The synchronization and pattern dynamics of coupled logistic maps on a certain type of complex network, constructed by adding random shortcuts to a regular ring, is investigated. For parameters where an isolated map is fully chaotic, the defect turbulence, which is dominant in the regular network, can be tamed into ordered periodic patterns or synchronized chaotic states when random shortcuts are added, and the patterns formed on the complex network can be grouped into two or three branches depending on the coupling strength.
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Keywords:
05.45.-a
05.45.Ra
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Received: 27 March 2008
Published: 25 October 2008
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[1] Albert R and Barabasi A L 2002 Rev. Mod. Phys. 74 47 [2] Watts D J and Strogatz S H 1998 Nature 393 440 [3] Barabasi A L and Albert R 1999 Science 286 509 [4] Barahona M and Pecora L M 2002 Phys. Rev. Lett. 89 054101 [5] Motter A E, Zhou C S, and Kurths J 2005 Phys. Rev. E 71 016116 [6] Egu\iluz V M and Klemm K 2002 Phys. Rev. Lett. 89 108701 [7] Albert R, Jeong H and Barabasi A L 2000 Nature 406 378 [8] Lago-fernandez L F, Huerta R, Corbacho F, and Sig\"{uenza J A 2000 Phys. Rev. Lett. 84 2758 [9] Qi F, Hou Z H, and Xin H W 2003 Phys. Rev. Lett. 91 064102 [10] Hou Z H and Xin H W 2003 Phys. Rev. E 68 055102 [11] Atay F M and Jost J, Wende A 2004 Phys. Rev. Lett. 92 144101 [12] Masoller C and Mart\i A C 2005 Phys. Rev. Lett. 94 134102 [13] Gade P M and Hu C K 2000 Phys. Rev. E 62 6409 [14] Jost J and Joy M P 2001 Phys. Rev. E 65 016201 [15] Lind P G, Gallas J A C and Herrmann H J 2004 Phy. Rev. E 70 056207 [16] Newman M E J, Moore C and Watts D J 2000 Phys. Rev. Lett. 84 3201 [17] Pecora L M and Carroll T L 1998 Phys. Rev. Lett. 80 2109 [18] Wang M S, Hou Z H and Xin H W 2006 Chem. Phys. Chem. 7 579 [19] Kaneko K 1989 Physica D 34 1 |
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