Synchronization performance in time-delayed random networks induced by diversity in system parameter

doi:10.1088/1674-1056/27/10/108902

中国物理B ›› 2018, Vol. 27 ›› Issue (10): 108902-108902.doi: 10.1088/1674-1056/27/10/108902

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇

Synchronization performance in time-delayed random networks induced by diversity in system parameter

Yu Qian(钱郁), Hongyan Gao(高红艳), Chenggui Yao(姚成贵), Xiaohua Cui(崔晓华), Jun Ma(马军)

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

收稿日期:2018-01-23 修回日期:2018-07-16 出版日期:2018-10-05 发布日期:2018-10-05
通讯作者: Yu Qian E-mail:qianyu0272@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11675001, 11675112, 11775020, and 11372122).

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

Received:2018-01-23 Revised:2018-07-16 Online:2018-10-05 Published:2018-10-05
Contact: Yu Qian E-mail:qianyu0272@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11675001, 11675112, 11775020, and 11372122).

摘要/Abstract

摘要：

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.

关键词: synchronization, time delay, excitable homogeneous random network, diversity

Abstract:

Key words: synchronization, time delay, excitable homogeneous random network, diversity

中图分类号: (Patterns)

89.75.Kd

05.65.+b (Self-organized systems) 89.75.Fb (Structures and organization in complex systems)

钱郁, 高红艳, 姚成贵, 崔晓华, 马军. Synchronization performance in time-delayed random networks induced by diversity in system parameter[J]. 中国物理B, 2018, 27(10): 108902-108902.

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[J]. Chin. Phys. B, 2018, 27(10): 108902-108902.

参考文献 53

[1]	Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821 doi: 10.1103/PhysRevLett.64.821
[2]	West B J, Geneston E L and Grigolini P 2008 Phys. Rep. 468 1 doi: 10.1016/j.physrep.2008.06.003
[3]	Arenas A, Díaz-Guilera A, Kurths J, Moreno Y and Zhou C S 2008 Phys. Rep. 469 93 doi: 10.1016/j.physrep.2008.09.002
[4]	Kocarev L and Parlitz U 1996 Phys. Rev. Lett. 76 1816 doi: 10.1103/PhysRevLett.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 doi: 10.1088/0253-6102/38/4/415
[8]	Tang S and Liu J M 2003 Phys. Rev. Lett. 90 194101 doi: 10.1103/PhysRevLett.90.194101
[9]	Zheng Y H and Lu Q S 2008 Physica A 387 3719 doi: 10.1016/j.physa.2008.02.039
[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 doi: 10.1007/s11071-010-9800-9
[12]	Zhang L, An X and Zhang J 2013 Nonlinear Dyn. 73 705 doi: 10.1007/s11071-013-0824-9
[13]	Chen P, Yu S, Zhang X, He J, Lin Z, Li C and Lü J 2016 Nonlinear Dyn. 86 725 doi: 10.1007/s11071-016-2933-8
[14]	Gray C M and Singer W 1989 Proc. Natl. Acad. Sci. 86 1698 doi: 10.1073/pnas.86.5.1698
[15]	Bazhenov M, Stopfer M, Rabinovich M, Huerta R, Abarbanel H D I, Sejnowski T J and Laurent G 2001 Neuron 30 553 doi: 10.1016/S0896-6273(01)00284-7
[16]	Mehta M R, Lee A K and Wilson M A 2002 Nature 417 741 doi: 10.1038/nature00807
[17]	Qian Y, Huang X D, Hu G and Liao X H 2010 Phys. Rev. E 81 036101 doi: 10.1103/PhysRevE.81.036101
[18]	Qian Y 2014 Phys. Rev. E 90 032807 doi: 10.1103/PhysRevE.90.032807
[19]	Qian Y, Cui X H and Zheng Z G 2017 Sci. Rep. 7 5746 doi: 10.1038/s41598-017-06066-6
[20]	Qian Y, Liu F, Yang K L, Zhang G, Yao C G and Ma J 2017 Sci. Rep. 7 11885 doi: 10.1038/s41598-017-12333-3
[21]	Watts D J and Strogatz S H 1998 Nature 393 440 doi: 10.1038/30918
[22]	Barabási A L and Albert R 1999 Science 286 509 doi: 10.1126/science.286.5439.509
[23]	Nishikawa T, Motter A E, Lai Y C and Hoppensteadt F C 2003 Phys. Rev. Lett. 91 014101 doi: 10.1103/PhysRevLett.91.014101
[24]	Motter A E, Zhou C S and Kurths J 2005 Phys. Rev. E 71 016116 doi: 10.1103/PhysRevE.71.016116
[25]	Rabinovich M I, Varona P, Selverston A I and Abarbanel H D I 2006 Rev. Mod. Phys. 78 1213 doi: 10.1103/RevModPhys.78.1213
[26]	Lai Y C, Frei M G, Osorio I and Huang L 2007 Phys. Rev. Lett. 98 108102 doi: 10.1103/PhysRevLett.98.108102
[27]	Fu C B, Zhang H, Zhan M and Wang X G 2012 Phys. Rev. E 85 066208 doi: 10.1103/PhysRevE.85.066208
[28]	Ma J and Xu J 2015 Sci. Bull. 60 1969 doi: 10.1007/s11434-015-0945-2
[29]	Ma J and Tang J 2015 Sci. China-Technol. Sci. 58 2038 doi: 10.1007/s11431-015-5961-6
[30]	Dhamala M, Jirsa V K and Ding M Z 2004 Phys. Rev. Lett. 92 074104 doi: 10.1103/PhysRevLett.92.074104
[31]	Roxin A, Brunel N and Hansel D 2005 Phys. Rev. Lett. 94 238103 doi: 10.1103/PhysRevLett.94.238103
[32]	Rossoni E, Chen Y H, Ding M Z and Feng J F 2005 Phys. Rev. E 71 061904 doi: 10.1103/PhysRevE.71.061904
[33]	Wang Q Y, Perc M, Duan Z S and Chen G R 2008 Phys. Lett. A 372 5681 doi: 10.1016/j.physleta.2008.07.005
[34]	Wang Q Y, Perc M, Duan Z S and Chen G R 2009 Chaos 19 023112 doi: 10.1063/1.3133126
[35]	Wang Q Y, Duan Z S, Perc M and Chen G R 2008 Europhys. Lett. 83 50008 doi: 10.1209/0295-5075/83/50008
[36]	Wang Q Y, Perc M, Duan Z S and Chen G R 2009 Phys. Rev. E 80 026206 doi: 10.1103/PhysRevE.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 doi: 10.1016/j.chaos.2012.01.013
[39]	Yu H T, Wang J, Liu C, Deng B and Wei X L 2013 Physica A 392 5473 doi: 10.1016/j.physa.2013.06.052
[40]	Yu H T, Wang J, Liu Q X, Sun J B and Yu H F 2013 Chaos, Solitons, and Fractals 48 68 doi: 10.1016/j.chaos.2012.05.005
[41]	Qian Y 2014 Plos One 9 e96415
[42]	Wu Y A, Gong Y B and Wang Q 2015 Chaos 25 043113 doi: 10.1063/1.4918997
[43]	Wang B Y, Gong Y B, Xie H J and Wang Q 2016 Chaos, Solitons, and Fractals 91 372 doi: 10.1016/j.chaos.2016.06.020
[44]	Ma J, Qin H X, Song X L and Chu R T 2015 Int. J. Mod. Phys. B 29 1450239 doi: 10.1142/S0217979214502397
[45]	Ma J, Song X L, Tang J and Wang C N 2015 Neurocomputing 167 378 doi: 10.1016/j.neucom.2015.04.056
[46]	Glatt E, Gassel M and Kaiser F 2007 Phys. Rev. E 75 026206 doi: 10.1103/PhysRevE.75.026206
[47]	Gassel M, Glatt E and Kaiser F 2007 Phys. Rev. E 76 016203 doi: 10.1103/PhysRevE.76.016203
[48]	Luccioli S and Politi A 2010 Phys. Rev. Lett. 105 158104 doi: 10.1103/PhysRevLett.105.158104
[49]	Tang J, Ma J, Yi M, Xia H and Yang X Q 2011 Phys. Rev. E 83 046207 doi: 10.1103/PhysRevE.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 doi: 10.1016/j.cnsns.2013.05.008
[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 doi: 10.1529/biophysj.104.058388
[53]	To T, Henson M A, Herzog E D and Doyle F J 2007 Biophys. J. 92 3792 doi: 10.1529/biophysj.106.094086

Synchronization performance in time-delayed random networks induced by diversity in system parameter

Synchronization performance in time-delayed random networks induced by diversity in system parameter

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 53

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Ya Wang(王亚), Guoping Sun(孙国平), and Guodong Ren(任国栋). Diffusive field coupling-induced synchronization between neural circuits under energy balance[J]. 中国物理B, 2023, 32(4): 40504-040504.
[2]	Zhan-Hong Guo(郭展宏), Zhi-Jun Li(李志军), Meng-Jiao Wang(王梦蛟), and Ming-Lin Ma(马铭磷). Hopf bifurcation and phase synchronization in memristor-coupled Hindmarsh-Rose and FitzHugh-Nagumo neurons with two time delays[J]. 中国物理B, 2023, 32(3): 38701-038701.
[3]	Xuan Ma(马璇), Yaya Zhao(赵鸭鸭), Yafeng Wang(王亚峰), Yueling Chen(陈月玲), and Hengtong Wang(王恒通). Effect of autaptic delay signal on spike-timing precision of single neuron[J]. 中国物理B, 2023, 32(3): 38703-038703.
[4]	Xiaoming Liang(梁晓明), Chao Fang(方超), Xiyun Zhang(张希昀), and Huaping Lü(吕华平). Influence of coupling asymmetry on signal amplification in a three-node motif[J]. 中国物理B, 2023, 32(1): 10504-010504.
[5]	Lei Tao(陶蕾) and Sheng-Jun Wang(王圣军). Power-law statistics of synchronous transition in inhibitory neuronal networks[J]. 中国物理B, 2022, 31(8): 80505-080505.
[6]	Yi-Xuan Shan(单仪萱), Hui-Lan Yang(杨惠兰), Hong-Bin Wang(王宏斌), Shuai Zhang(张帅), Ying Li(李颖), and Gui-Zhi Xu(徐桂芝). Effect of astrocyte on synchronization of thermosensitive neuron-astrocyte minimum system[J]. 中国物理B, 2022, 31(8): 80507-080507.
[7]	Dong-Zhou Zhong(钟东洲), Zhe Xu(徐喆), Ya-Lan Hu(胡亚兰), Ke-Ke Zhao(赵可可), Jin-Bo Zhang(张金波),Peng Hou(侯鹏), Wan-An Deng(邓万安), and Jiang-Tao Xi(习江涛). Multi-target ranging using an optical reservoir computing approach in the laterally coupled semiconductor lasers with self-feedback[J]. 中国物理B, 2022, 31(7): 74205-074205.
[8]	Biao Jiang(姜彪), Wen-Jun Zhang(张文君), Mehran Khan Alam, Shu-Yun Yu(于淑云), Guang-Bing Han(韩广兵), Guo-Lei Liu(刘国磊), Shi-Shen Yan(颜世申), and Shi-Shou Kang(康仕寿). Synchronization of nanowire-based spin Hall nano-oscillators[J]. 中国物理B, 2022, 31(7): 77503-077503.
[9]	Xiang Ling(凌翔), Bo Hua(华博), Ning Guo(郭宁), Kong-Jin Zhu(朱孔金), Jia-Jia Chen(陈佳佳), Chao-Yun Wu(吴超云), and Qing-Yi Hao(郝庆一). Synchronization in multilayer networks through different coupling mechanisms[J]. 中国物理B, 2022, 31(4): 48901-048901.
[10]	Xun-Qin Huo(火勋琴), Wei-Feng Yang(杨玮枫), Wen-Hui Dong(董文卉), Fa-Cheng Jin(金发成), Xi-Wang Liu(刘希望), Hong-Dan Zhang(张宏丹), and Xiao-Hong Song(宋晓红). Review on typical applications and computational optimizations based on semiclassical methods in strong-field physics[J]. 中国物理B, 2022, 31(3): 33101-033101.
[11]	Changbao Deng(邓长宝), Weinuo Jiang(蒋未诺), and Shihong Wang(王世红). Inferring interactions of time-delayed dynamic networks by random state variable resetting[J]. 中国物理B, 2022, 31(3): 30502-030502.
[12]	Alireza Bahramian, Sajjad Shaukat Jamal, Fatemeh Parastesh, Kartikeyan Rajagopal, and Sajad Jafari. Collective behavior of cortico-thalamic circuits: Logic gates as the thalamus and a dynamical neuronal network as the cortex[J]. 中国物理B, 2022, 31(2): 28901-028901.
[13]	Atiyeh Bayani, Sajad Jafari, and Hamed Azarnoush. Explosive synchronization: From synthetic to real-world networks[J]. 中国物理B, 2022, 31(2): 20504-020504.
[14]	Wenjie Yang(杨文杰). Bifurcation and dynamics in double-delayed Chua circuits with periodic perturbation[J]. 中国物理B, 2022, 31(2): 20201-020201.
[15]	Haibo Qiu(邱海波), Yuanjie Dong(董远杰), Huangli Zhang(张黄莉), and Jing Tian(田静). Measure synchronization in hybrid quantum-classical systems[J]. 中国物理B, 2022, 31(12): 120503-120503.