Effect of externality in multiplex networks on one-layer synchronization

Journal of the Korean Physical Society

Volumn 66, Issue 11, 2015, Pages 1777-1782

  Jiang, Xin ^a   Li, Meng ^a   Zheng, Zhiming ^a   Ma, Yifang ^b   Ma, Lili ^c  

^a BEIHANG UNIVERSITY   (China)

^b PEKING UNIVERSITY   (China)

^c CAPITAL UNIVERSITY OF ECONOMICS AND BUSINESS   (China)

Author keywords

Complex networks; Multiplex networks; Synchronization

Indexed keywords

EID: 84935005073     PISSN: 03744884     EISSN: 19768524     Source Type: Journal    
DOI: 10.3938/jkps.66.1777     Document Type: Article

References (33)

1. A. Barrat, M. Barthel′emy and A. Vespignani, Dynamical Processes on Complex Networks (Cambridge University Press, Cambridge, 2008).
2. K-I. Goh, B. Kahng and D. Kim, Phys. Rev. Lett. 87, 278701 (2001).
3. S. Boccalettia, V. Latorab, Y. Morenod, M. Chavezf and D-U. Hwanga, Phys. Rep. 424, 175 (2006).
4. K-I. Goh, M. E. Cusick, D. Valle, B. Childs, M. Vidal and A. L. Barab′asi, Proc. Natl. Acad. Sci. U.S.A. 104, 8685 (2007).
5. Y. F. Ma, X. Jiang, M. Li, X. Shen, Q. T. Guo, Y. J. Lei and Z. M. Zheng, EPL 104, 18006 (2013).
6. Y. Kim, J-H. Kim and Soon-Hyung Yook, Phys. Rev. E 83, 056115 (2011).
7. X. Jiang, H. L. Wang, S. T. Tang, L. L. Ma, Z. L. Zhang and Z. M. Zheng, New J. Phys. 13, 013022 (2011).
8. K-M. Lee, J-S. Yang, G. Kim, J. Lee, K-I. Goh and I-M. Kim, PLoS ONE 6, 18443 (2011).
9. A. Pikovsky, M. Rosenblum and J. Kurths, Synchronization: a Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2003).
10. L. Prignano, O. Sagarra and A. Daz-Guilera, Phys. Rev. Lett. 110, 114101 (2013).
11. P. Fries, J. H. Reynolds, A. E. Rorie and R. Desimone, Science 291, 1560 (2001).
12. S-Y. Kim, Y. Kim, D-G. Hong, J. Kim and W. Lim, J. Korean Phys. Soc. 60, 1441 (2012).
13. S-Y. Kim and W. Lim, J. Korean Phys. Soc. 63, 104 (2013).
14. M. Dhamala, A. K. Jirsa and M. Ding, Phys. Rev. Lett. 92, 074104 (2004).
15. S. Palani and C. A. Sarkar, Cell Rep. 1, 215 (2012).
16. T. K. Dal’Maso Peron and F. A. Rodrigues, EPL 96, 48004 (2011).
17. H. Fukuda, N. Nakamichi, M. Hisatsune, H. Murase and T. Mizuno, Phys. Rev. Lett. 99, 098102 (2007).
18. F. Drfer and F. Bullo, SIAM J. Control Optim. 50, 1616 (2011).
19. M. Porfiri, EPL 96, 40014 (2011).
20. H. Hong, H. Park and L. H. Tang, Phys. Rev. E 76, 066104 (2007).
21. H. Hong, J. Um and H. Park, Phys. Rev. E 87, 042105 (2013).
22. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998).
23. J. G′omez-Gardenes, S. G′omez, A. Arenas and Y. Moreno, Phys. Rev. Lett. 106, 128701 (2011).
24. M. Li, X. Jiang, Y. F. Ma, X. Shen and Z. M. Zheng, EPL 104, 58002 (2013).
25. K. Park, Y-C. Lai, S. Gupte and J-W. Kim, Chaos 16, 015105 (2006).
26. E. Oh, K. Rho, H. Hong and B. Kahng, Phys. Rev. E 72, 047101 (2005).
27. K-M. Lee, J. Y. Kim, W-K. Cho, K-I. Goh and I-M. Kim, New J. Phys. 14, 033027 (2012).
28. J. Y. Kim and K-I. Goh, Phys. Rev. Lett. 111, 058702 (2013).
29. C. D. Brummitt, K-M. Lee and K-I. Goh, Phys. Rev. E 85, 045102 (2012).
30. S. G′omez, A. Daz-Guilera, J. G′omez-Gardenes, C. J. Perez-Vicente, Y. Moreno and A. Arenas, Phys. Rev. Lett. 110, 028701 (2013).
31. A. Lancichinetti, S. Fortunato and F. Radicchi, Phys. Rev. E 78, 046110 (2008).
32. J. A. Acebron, L. L. Bonilla, C. J. Perez Vicente, F. Ritort and R. Spigler, Rev. Mod. Phys. 77, 137 (2005).
33. A. Arenas, J. Kurths, Y. Morenob and C. Zhou, Phys. Rep. 469, 93 (2008).