Intra-layer synchronization in duplex networks

doi:10.1088/1674-1056/27/10/100503

中国物理B ›› 2018, Vol. 27 ›› Issue (10): 100503-100503.doi: 10.1088/1674-1056/27/10/100503

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Intra-layer synchronization in duplex networks

Jie Shen(沈洁), Longkun Tang(汤龙坤)

1 Fujian Province University Key Laboratory of Computation Science, School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China;
2 Department of Mathematics & Statistics, Georgia State University, Atlanta 30303, USA

收稿日期:2018-06-08 修回日期:2018-07-17 出版日期:2018-10-05 发布日期:2018-10-05
通讯作者: Longkun Tang E-mail:tomlk@hqu.edu.cn
基金资助:
Project supported in part by the National Natural Science Foundation of China (Grant Nos. 61573004 and 11501221), the Promotion Program for Young and Middle-aged Teacher in Science and Technology Research of Huaqiao University (Grant No. ZQN-YX301), the Program for New Century Excellent Talents in Fujian Province University in 2016, and the Project of Education and Scientific Research for Middle and Young Teachers in Fujian Province, China (Grant Nos. JAT170027 and JA15030).

Intra-layer synchronization in duplex networks

Jie Shen(沈洁)¹, Longkun Tang(汤龙坤)^1,2

1 Fujian Province University Key Laboratory of Computation Science, School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China;
2 Department of Mathematics & Statistics, Georgia State University, Atlanta 30303, USA

Received:2018-06-08 Revised:2018-07-17 Online:2018-10-05 Published:2018-10-05
Contact: Longkun Tang E-mail:tomlk@hqu.edu.cn
Supported by:
Project supported in part by the National Natural Science Foundation of China (Grant Nos. 61573004 and 11501221), the Promotion Program for Young and Middle-aged Teacher in Science and Technology Research of Huaqiao University (Grant No. ZQN-YX301), the Program for New Century Excellent Talents in Fujian Province University in 2016, and the Project of Education and Scientific Research for Middle and Young Teachers in Fujian Province, China (Grant Nos. JAT170027 and JA15030).

摘要/Abstract

摘要：

This paper explores the intra-layer synchronization in duplex networks with different topologies within layers and different inner coupling patterns between, within, and across layers. Based on the Lyapunov stability method, we prove theoretically that the duplex network can achieve intra-layer synchronization under some appropriate conditions, and give the thresholds of coupling strength within layers for different types of inner coupling matrices across layers. Interestingly, for a certain class of coupling matrices across layers, it needs larger coupling strength within layers to ensure the intra-layer synchronization when the coupling strength across layers become larger, intuitively opposing the fact that the intra-layer synchronization is seemly independent of the coupling strength across layers. Finally, numerical simulations further verify the theoretical results.

关键词: multi-layer network, intra-layer synchronization, Lyapunov stability method

Abstract:

Key words: multi-layer network, intra-layer synchronization, Lyapunov stability method

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.-a (Nonlinear dynamics and chaos)

沈洁, 汤龙坤. Intra-layer synchronization in duplex networks[J]. 中国物理B, 2018, 27(10): 100503-100503.

Jie Shen(沈洁), Longkun Tang(汤龙坤). Intra-layer synchronization in duplex networks[J]. Chin. Phys. B, 2018, 27(10): 100503-100503.

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Intra-layer synchronization in duplex networks

Intra-layer synchronization in duplex networks

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