| INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
Prev
|
|
|
Synchronization performance in time-delayed random networks induced by diversity in system parameter |
| Yu Qian(钱郁)1, Hongyan Gao(高红艳)1, Chenggui Yao(姚成贵)2, Xiaohua Cui(崔晓华)3, Jun Ma(马军)4,5 |
1 Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007, China;
2 Department of Mathematics, Shaoxing University, Shaoxing 312000, China;
3 School of Systems Science, Beijing Normal University, Beijing 100875, China;
4 Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China;
5 King Abdulaziz University, Faculty of Science, Department of Mathematics, NAAM Research Group, Jeddah 21589, Saudi Arabia |
|
|
|
|
Abstract Synchronization rhythm and oscillating in biological systems can give clues to understanding the cooperation and competition between cells under appropriate biological and physical conditions. As a result, the network setting is appreciated to detect the stability and transition of collective behaviors in a network with different connection types. In this paper, the synchronization performance in time-delayed excitable homogeneous random networks (EHRNs) induced by diversity in system parameters is investigated by calculating the synchronization parameter and plotting the spatiotemporal evolution pattern, and distinct impacts induced by parameter-diversity are detected by setting different time delays. It is found that diversity has no distinct effect on the synchronization performance in EHRNs with small time delay being considered. When time delay is increased greatly, the synchronization performance of EHRN degenerates remarkably as diversity is increased. Surprisingly, by setting a moderate time delay, appropriate parameter-diversity can promote the synchronization performance in EHRNs, and can induce the synchronization transition from the asynchronous state to the weak synchronization. Moreover, the bistability phenomenon, which contains the states of asynchronous state and weak synchronization, is observed. Particularly, it is confirmed that the parameter-diversity promoted synchronization performance in time-delayed EHRN is manifested in the enhancement of the synchronization performance of individual oscillation and the increase of the number of synchronization transitions from the asynchronous state to the weak synchronization. Finally, we have revealed that this kind of parameter-diversity promoted synchronization performance is a robust phenomenon.
|
Received: 23 January 2018
Revised: 16 July 2018
Accepted manuscript online:
|
|
PACS:
|
89.75.Kd
|
(Patterns)
|
| |
05.65.+b
|
(Self-organized systems)
|
| |
89.75.Fb
|
(Structures and organization in complex systems)
|
|
| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11675001, 11675112, 11775020, and 11372122). |
Corresponding Authors:
Yu Qian
E-mail: qianyu0272@163.com
|
Cite this article:
Yu Qian(钱郁), Hongyan Gao(高红艳), Chenggui Yao(姚成贵), Xiaohua Cui(崔晓华), Jun Ma(马军) Synchronization performance in time-delayed random networks induced by diversity in system parameter 2018 Chin. Phys. B 27 108902
|
| [1] |
Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
|
| [2] |
West B J, Geneston E L and Grigolini P 2008 Phys. Rep. 468 1
|
| [3] |
Arenas A, Díaz-Guilera A, Kurths J, Moreno Y and Zhou C S 2008 Phys. Rep. 469 93
|
| [4] |
Kocarev L and Parlitz U 1996 Phys. Rev. Lett. 76 1816
|
| [5] |
Zheng Z G and Hu G 2000 Phys. Rev. E 62 7882
|
| [6] |
Liu Z H, Lai Y C and Hoppensteadt F C 2001 Phys. Rev. E 63 R055201
|
| [7] |
Zheng Z G and Wang F Z 2002 Commun. Theor. Phys. 38 415
|
| [8] |
Tang S and Liu J M 2003 Phys. Rev. Lett. 90 194101
|
| [9] |
Zheng Y H and Lu Q S 2008 Physica A 387 3719
|
| [10] |
Ma J, Zhang A H, Xia Y F and Zhang L P 2010 Appl. Math. Comput. 215 3318
|
| [11] |
Kwon O M, Park J H and Lee S M 2011 Nonlinear Dyn. 63 239
|
| [12] |
Zhang L, An X and Zhang J 2013 Nonlinear Dyn. 73 705
|
| [13] |
Chen P, Yu S, Zhang X, He J, Lin Z, Li C and Lü J 2016 Nonlinear Dyn. 86 725
|
| [14] |
Gray C M and Singer W 1989 Proc. Natl. Acad. Sci. 86 1698
|
| [15] |
Bazhenov M, Stopfer M, Rabinovich M, Huerta R, Abarbanel H D I, Sejnowski T J and Laurent G 2001 Neuron 30 553
|
| [16] |
Mehta M R, Lee A K and Wilson M A 2002 Nature 417 741
|
| [17] |
Qian Y, Huang X D, Hu G and Liao X H 2010 Phys. Rev. E 81 036101
|
| [18] |
Qian Y 2014 Phys. Rev. E 90 032807
|
| [19] |
Qian Y, Cui X H and Zheng Z G 2017 Sci. Rep. 7 5746
|
| [20] |
Qian Y, Liu F, Yang K L, Zhang G, Yao C G and Ma J 2017 Sci. Rep. 7 11885
|
| [21] |
Watts D J and Strogatz S H 1998 Nature 393 440
|
| [22] |
Barabási A L and Albert R 1999 Science 286 509
|
| [23] |
Nishikawa T, Motter A E, Lai Y C and Hoppensteadt F C 2003 Phys. Rev. Lett. 91 014101
|
| [24] |
Motter A E, Zhou C S and Kurths J 2005 Phys. Rev. E 71 016116
|
| [25] |
Rabinovich M I, Varona P, Selverston A I and Abarbanel H D I 2006 Rev. Mod. Phys. 78 1213
|
| [26] |
Lai Y C, Frei M G, Osorio I and Huang L 2007 Phys. Rev. Lett. 98 108102
|
| [27] |
Fu C B, Zhang H, Zhan M and Wang X G 2012 Phys. Rev. E 85 066208
|
| [28] |
Ma J and Xu J 2015 Sci. Bull. 60 1969
|
| [29] |
Ma J and Tang J 2015 Sci. China-Technol. Sci. 58 2038
|
| [30] |
Dhamala M, Jirsa V K and Ding M Z 2004 Phys. Rev. Lett. 92 074104
|
| [31] |
Roxin A, Brunel N and Hansel D 2005 Phys. Rev. Lett. 94 238103
|
| [32] |
Rossoni E, Chen Y H, Ding M Z and Feng J F 2005 Phys. Rev. E 71 061904
|
| [33] |
Wang Q Y, Perc M, Duan Z S and Chen G R 2008 Phys. Lett. A 372 5681
|
| [34] |
Wang Q Y, Perc M, Duan Z S and Chen G R 2009 Chaos 19 023112
|
| [35] |
Wang Q Y, Duan Z S, Perc M and Chen G R 2008 Europhys. Lett. 83 50008
|
| [36] |
Wang Q Y, Perc M, Duan Z S and Chen G R 2009 Phys. Rev. E 80 026206
|
| [37] |
Wang Q Y, Chen G R and Perc M 2011 Plos One 6 e15851
|
| [38] |
Gong Y B, Wang L and Xu B 2012 Chaos, Solitons, and Fractals 45 548
|
| [39] |
Yu H T, Wang J, Liu C, Deng B and Wei X L 2013 Physica A 392 5473
|
| [40] |
Yu H T, Wang J, Liu Q X, Sun J B and Yu H F 2013 Chaos, Solitons, and Fractals 48 68
|
| [41] |
Qian Y 2014 Plos One 9 e96415
|
| [42] |
Wu Y A, Gong Y B and Wang Q 2015 Chaos 25 043113
|
| [43] |
Wang B Y, Gong Y B, Xie H J and Wang Q 2016 Chaos, Solitons, and Fractals 91 372
|
| [44] |
Ma J, Qin H X, Song X L and Chu R T 2015 Int. J. Mod. Phys. B 29 1450239
|
| [45] |
Ma J, Song X L, Tang J and Wang C N 2015 Neurocomputing 167 378
|
| [46] |
Glatt E, Gassel M and Kaiser F 2007 Phys. Rev. E 75 026206
|
| [47] |
Gassel M, Glatt E and Kaiser F 2007 Phys. Rev. E 76 016203
|
| [48] |
Luccioli S and Politi A 2010 Phys. Rev. Lett. 105 158104
|
| [49] |
Tang J, Ma J, Yi M, Xia H and Yang X Q 2011 Phys. Rev. E 83 046207
|
| [50] |
Qian Y, Zhao Y R, Liu F, Huang X D, Zhang Z Y and Mi Y Y 2013 Commun. Nonlinear Sci. Numer. Simul. 18 3509
|
| [51] |
B?r M and Eiswirth M 1993 Phys. Rev. E 48 R1635
|
| [52] |
Gonze D, Bernard S, Waltermann C, Kramer A and Herzel H 2005 Biophys. J. 89 120
|
| [53] |
To T, Henson M A, Herzog E D and Doyle F J 2007 Biophys. J. 92 3792
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
