Experimental observation of multirhythmic pattern in chains of Rossler circuits

doi:10.1088/1674-1056/21/12/128701

Abstract The influences of parameter mismatches on multirhythmic pattern in chains of coupled Rossler circuits are explored experimentally. The parameter mismatches in coupled chaotic oscillators are found helpful to form a kind of multirhythmic pattern as reported in chains of biological coupled oscillators [Phys. Rev. Lett. 92 228102]. Moreover, a new type of multirhythmic pattern based on the envelope of time series is observed.

Keywords: multirhythmic pattern multirhythmic pattern based on envelope chaotic oscillators Rossler circuit

Received: 19 July 2012
Revised: 01 September 2012
Accepted manuscript online:

PACS:	87.18.Hf	(Spatiotemporal pattern formation in cellular populations)
	05.45.Xt	(Synchronization; coupled oscillators)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11262006 and 11062002) and the Science and Technology Project of Jiangxi Province, China (Grant Nos. GJJ12330 and 2010GQW0021).

Corresponding Authors: Xiao Jing-Hua
E-mail: Jhxiao@bupt.edu.cn

Cite this article:

Liu Wei-Qing (刘维清), Deng Jing-Fa (邓经发), Xiao Jing-Hua (肖井华) Experimental observation of multirhythmic pattern in chains of Rossler circuits 2012 Chin. Phys. B 21 128701

[1]	Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
[2]	Wang S G and Yao H X 2012 Chin. Phys. B 21 050508
[3]	Wu Y, Xiao J H and Zhan M 2007 Acta Phys. Sin. 56 5119 (in Chinese)
[4]	Zhang T X and Zheng Z G 2009 Chin. Phys. B 18 4187
[5]	Nie H C, Xie L L, Gao J H and Zhan M 2011 Chaos 21 023107
[6]	Kaneko K 1989 Physica D 37 60
[7]	Wang L 2010 Chin. Phys. B 19 090206
[8]	Xie L L, Gao J Z, Xie W M and Gao J H 2011 Chin. Phys. B 20 110503
[9]	Hu G, Zhang Y, Cerdeira H A and Chen S G 2000 Phys. Rev. Lett. 85 3377
[10]	Zou W and Zhan M 2010 Chin. Phys. B 19 100509
[11]	Matsumoto K, Ueda T and Kobatake Y 1988 J. Theor. Biol. 131 175
[12]	Nakagaki T, Yamada H and Toth A 2000 Nature 407 470
[13]	Golubitsky M, Stewart I, Buono P and Collins J J 1999 Nature 401 693
[14]	Diorio C and Rao R P N 2000 Nature 405 891
[15]	Reddy D V R, Sen A and Johnston G L 2000 Phys. Rev. Lett. 85 3381
[16]	Yoshimoto M, Yoshikawa K and Mori Y 1993 Phys. Rev. E 47 864
[17]	Takamatsu A, Tanaka R, Yamada H, Nakagaki T, Fujii T and Endo I 2001 Phys. Rev. Lett. 87 078102
[18]	Takamatsu A, Tanaka R and Fujii T 2004 Phys. Rev. Lett. 92 228102
[19]	Zhang Y, Hu G and Cerdeira H A 2001 Phys. Rev. E 64 037203
[20]	Zhang,Y, Hu G, Cerdeira H A, Chen S G, Braun T and Yao Y G 2001 Phys. Rev. E 63 026211
[21]	Golubitsky M, Stewart I and Schaeffer D G 1988 Singularities and Groups in Bifurcation Theory: Vol. II, Applied Mathematical Sciences Vol. 69 (New York: Springer)
[22]	Visarath I, Andy K, Neff J D, Palacios A, Longhini P and Meadows B K 2003 Phys. Rev. Lett. 91 244101
[23]	Palacios A, Carretero G R, Longhini P and Renz N 2005 Phys. Rev. E 72 026211
[24]	Longhini P, Palacios A, Visarath In, Neff J D, Kho A and Bulsara A 2007 Phys. Rev. E 76 026201
[25]	Holden A V and Fan Y 1992 Chaos, Solitons and Fractals 2 349
[26]	Feng G L and He W P 2007 Chin. Phys. 16 2825
[27]	Liu W Q, Yang J Z and Xiao J H 2006 Chin. Phys. 15 2260
[28]	Wang J H and Li X W 2009 Chin. Phys. Lett. 26 030505
[29]	Zou W and Zhan M 2009 Phys. Rev. E 80 065204(R)
[30]	Golubitsky M, Stewart I, Buono P L and Collins J J 1999 Nature 401 693
[31]	Dai Y, Wei H M and Tang G N 2010 Acta Phys. Sin. 59 5979 (in Chinese)

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