Design of oscillator networks with enhanced synchronization tolerance against noise

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 85, Issue 5, 2012, Pages

  Yanagita, Tatsuo ^a   Mikhailov, Alexander S ^b  

^a OSAKA ELECTRO COMMUNICATION UNIVERSITY   (Japan)

^b FRITZ HABER INSTITUT DER MAX PLANCK GESELLSCHAFT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MARKOV CHAIN MONTE CARLO METHOD; OPTIMAL NETWORK ARCHITECTURE; OPTIMIZATION PROCESS; ORDER PARAMETER; OSCILLATOR NETWORKS; PHASE OSCILLATORS; REPLICA EXCHANGE; STATISTICAL PROPERTIES; SYNCHRONIZATION PROPERTY;

NETWORK ARCHITECTURE;

OPTIMIZATION;

EID: 84861849206     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.056206     Document Type: Article

References (32)

1. J. Kurths, A. Pikovsky, and M. Rosenblum, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001).
2. R. Albert and A.-L. Barabási, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002).
3. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009 424, 175 (2006). (Pubitemid 43135890)
4. S. Manrubia, A. Mikhailov, and D. Zanette, Emergence of Dynamical Order: Synchronization Phenomena in Complex Systems (World Scientific, Singapore, 2004).
5. A. Arenas, A. Diaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2008.09.002 469, 93 (2008).
6. H. Hong, M. Y. Choi, and B. J. Kim, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.65.026139 65, 026139 (2002). (Pubitemid 40619469)
7. T. Ichinomiya, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.026116 70, 026116 (2004).
8. D.-S. Lee, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.026208 72, 026208 (2005). (Pubitemid 41520809)
9. A. E. Motter, C. Zhou, and J. Kurths, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.016116 71, 016116 (2005). (Pubitemid 40619997)
10. D.-U. Hwang, M. Chavez, A. Amann, and S. Boccaletti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.138701 94, 138701 (2005). (Pubitemid 40620522)
11. M. Ipsen and A. S. Mikhailov, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.046109 66, 046109 (2002). (Pubitemid 40606237)
12. L. G. Moyano, G. Abramson, and D. H. Zanette, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510170130 22, 223 (2001). (Pubitemid 33629014)
13. T. Yanagita and A. S. Mikhailov, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.056204 81, 056204 (2010).
14. D. Kelly and G. A. Gottwald, Chaos CHAOEH 1054-1500 10.1063/1.3590855 21, 025110 (2011).
15. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, New York, 1984).
16. J. A. Acebrón, L. L. Bonilla, C. J. Pérez Vicente, F. Ritort, and R. Spigler, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77. 137 77, 137 (2005). (Pubitemid 41490657)
17. A. S. Mikhailov and V. Calenbuhr, From Cells to Societies (Springer, New York, 2006).
18. D. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge University Press, Cambridge, 2005).
19. M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in Statistical Physics (Oxford University Press, Oxford, 1999).
20. J. Liu, Monte Carlo Strategies in Scientific Computing (Springer, New York, 2001).
21. A. E. Cho, J. D. Doll, and D. L. Freeman, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(94)01058-7 229, 218 (1994).
22. P. G. Bolhuis, C. Dellago, and D. Chandler, Faraday Discuss. 1359-6640 10.1039/a801266k 110, 421 (1998).
23. T. J. H. Vlugt and B. Smit, Phys. Chem. Comm. 10.1039/b009865p 4, 11 (2001). (Pubitemid 40464594)
24. M. Kawasaki and S. I. Sasa, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.037202 72, 037202 (2005). (Pubitemid 41778246)
25. S. I. Sasa and K. Hayashi, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10515-2 74, 156 (2006). (Pubitemid 43535642)
26. C. Giardiná, J. Kurchan, and L. Peliti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.120603 96, 120603 (2006).
27. J. Tailleur and J. Kurchan, Nature Physics 1745-2473 10.1038/nphys515 3, 203 (2007).
28. T. Yanagita and Y. Iba, J. Stat. Mech. 1742-5468 10.1088/1742-5468/2009/ 02/P02043 2, P02043 (2009).
29. J.-n. Teramae and D. Tanaka, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.204103 93, 204103 (2004).
30. H. Nakao, K. Arai, and Y. Kawamura, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.184101 98, 184101 (2007). (Pubitemid 46698902)
31. H. Kori, Y. Kawamura, and N. Masuda, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2011.12.007 297, 61 (2012).
32. N. Masuda, Y. Kawamura, and H. Kori, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/9/093007 12, 093007 (2010).