Braess's paradox in oscillator networks, desynchronization and power outage

New Journal of Physics

Volumn 14, Issue , 2012, Pages

  Witthaut, Dirk ^a   Timme, Marc ^a,b  

^a MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BRAESS'S PARADOX; COMPLEX NETWORKED SYSTEMS; CONNECTION LINES; COUNTER-INTUITIVE PHENOMENON; DESYNCHRONIZATION; ELECTRIC POWER GRIDS; ENERGY DEMANDS; GEOMETRIC FRUSTRATION; IN-PHASE; OSCILLATOR NETWORKS; POWER GRIDS; POWER OUTAGE; POWER SOURCES; ROBUST SYNCHRONIZATION; STABLE OPERATION; TRAFFIC NETWORKS; UNDERLYING MECHANISM;

PHYSICS; RESEARCH;

OUTAGES;

EID: 84865703965     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/14/8/083036     Document Type: Article

References (45)

1. Strogatz S H 2001 Nature 410 268
2. Pikovsky A, Rosenblum M and Kurths J 2001 Synchronization (Cambridge: Cambridge University Press)
3. Popovych O V, Hauptmann C and Tass P A 2005 Phys. Rev. Lett. 94 164102
4. Strogatz S H, Abrams D M, McRobie A, Eckhardt B and Ott E 2005 Nature 438 43
5. Kiss I Z, Rusin C G, Kori H and Hudson J L 2007 Science 316 1886
6. Vespignani A 2011 Nature Phys. 8 32
7. Glass L 2001 Nature 410 277
8. Bregni S 2002 Synchronization of Digital Telecommunications Networks (New York: Wiley)
9. Machowski J, Bialek J and Bumby J 2008 Power System Dynamics, Stability and Control (New York:Wiley)
10. Dörfler F and Bullo F 2011 SIAM J. Control Optim. submitted (arXiv:0910.5673v4)
11. Li Z and Li Y 2011 Understanding and control of power grids Autonomous Systems: Developments and Trends ed H Unger, K Kyamaky and J Kacprzyk (Berlin: Springer) 49-58
12. Filatrella G, Nielsen A H and Pedersen N F 2008 Eur. Phys. J. B 61 485
13. Marris E 2008 Nature 454 570
14. Rohden M, Timme M, Sorge A and Witthaut D. Phys. Rev. Lett. 109 064101
15. Braess D 1968 Unternehmensforschung 12 258
16. Nishikawa T and Motter A E 2006 Phys. Rev. E 73 065106
17. Nishikawa T and Motter A E 2010 Proc. Natl Acad. Sci. USA 107 10342
18. Ravoori B, Cohen A B, Sun J, Motter A E, Murphy T E and Roy R 2011 Phys. Rev. Lett. 107 034102
19. Cohen J E and Horowitz P 1991 Nature 352 699
20. Blumsack S, Lave L B and Ilic M 2007 Energy J. 28 73
21. Braess D, Nagurney A and Wakolbinger T 2005 Transp. Sci. 39 446
22. Roughgarden T and Tardos E 2002 J. ACM 49 236
23. Valiant G and Roughgarden T 2010 Random Struct. Algorithms 37 495
24. Youn H, Gastner M T and Jeong H 2008 Phys. Rev. Lett. 101 128701
25. Kaluza P and Meyer-Ortmanns H 2010 Chaos 20 043111
26. Garai A, Waclaw B, Nagel H and Meyer-Ortmanns H 2012 J. Stat. Mech. 2012 P01009
27. Simonsen I, Buzna L, Peters K, Bornholdt S and Helbing D 2008 Phys. Rev. Lett. 100 218701
28. Watts D 1998 Nature 393 440
29. Kleinberg J M 2000 Nature 406 845
30. Motter A E and Lai Y C 2002 Phys. Rev. E 66 065102
31. Albert R, Albert I and Nakarado G L 2004 Phys. Rev. E 69 025103
32. Buldyrev S V, Parshani R, Paul G, Stanley H E and Havlin S 2010 Nature 464 1025
33. Parshani R, Buldyrev S V and Havlin S 2010 Phys. Rev. Lett. 105 048701
34. Parshani R, Buldyrev S V and Havlin S 2010 Proc. Natl Acad. Sci. USA 108 1007
35. Schneider C M, Moreira A A, Andrade J S, Havlin S and Herrmann H J 2011 Proc. Natl Acad. Sci. USA 108 3838
36. Schäfer M, Scholz J and Greiner M 2006 Phys. Rev. Lett. 96 108701
37. Heide D, Schäfer M and Greiner M 2008 Phys. Rev. E 77 056103
38. Timme M 2006 Europhys. Lett. 76 367
39. Nagler J, Levina A and Timme M 2011 Nature Phys. 7 265
40. Kuramoto Y 1984 Chemical Oscillations, Waves, and Turbulence (Berlin: Springer)
41. Strogatz S H 2000 Physica D 143 1
42. Acebrón J A, Bonilla L L, Pérez Vicente C J, Ritort F and Spigler R 2005 Rev. Mod. Phys. 77 137
43. Martens E A, Barreto E, Strogatz S H, Ott E, So P and Antonsen T M 2009 Phys. Rev. E 79 026204
44. Buzna L, Lozano S and Díaz-Guilera A 2009 Phys. Rev. E 80 066120
45. Barrat A, Barthlemy M, Pastor-Satorras R and Vespignani A 2004 Proc. Natl Acad. Sci. USA 101 3747