Order parameters and synchronization of FitzHugh-Nagumo small-world networks

Chinese Physics B

Volumn 18, Issue 10, 2009, Pages 4598-4602

  Li, Yan Long ^a   Ma, Jun ^a   Zhang, Wei ^a   Liu, Yan Jun ^a  

^a LANZHOU UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Noise; Order parameter; Small world network

Indexed keywords

CONTROL PARAMETERS; EXCITABLE SYSTEMS; NOISE; NOISE INTENSITIES; ORDER PARAMETER; REWIRING PROBABILITY; SMALL WORLD NETWORK; SMALL WORLD NETWORKS; SMALL WORLDS; SYNCHRONISATION;

CONTROL SYSTEM ANALYSIS; PHASE DIAGRAMS;

SYNCHRONIZATION;

EID: 70350445564     PISSN: 16741056     EISSN: None     Source Type: Journal    
DOI: 10.1088/1674-1056/18/10/082     Document Type: Article

References (31)

1. Khrustova N, G Veser and A Mikhailov 1995 Phys. Rev. Lett. 75 3564
2. Abarbanel H D, Rabinovich M I, Selverston A, Bazhenov M V, Huerta R, Sushchik M M and Rubchinskii R R 1996 Phys. Usp. 39 337
3. Winfree A T 1980 The Geometry of Biological Time (Berlin: Springer) p 22
4. Kaneko K 1986 Physica D 23 436
5. Strogatz S H, Mirollo R E and Matthews P C 1992 Phys. Rev. Lett. 68 2730
6. Montejo N, Lorenzo M N, Villar V P and Mũuzuri V P 2005 Phys. Rev. E 72 011902
7. Li Y L, Chen Z Y, Ma J and Chen Y H 2008 Acta Neuropsychiatrica 20 25
8. Zhan Y, Zhang S H, Zhao T J, An H L, Zhang Z D, Han Y R, Liu H and Zhang Y H 2008 Chin. Phys. B 17 2297
9. Amengual A, Hernandez-Garcia E, Montagne R and Miguel M S 1997 Phys. Rev. Lett. 78 4379
10. Gao M and Cui B T 2009 Chin. Phys. B 18 76
11. Kitano K and Aoyagi T 1998 Phys. Rev. E 57 5914
12. Tang Y, Zhong H H and Fang J A 2008 Chin. Phys. B 17 4080
13. Basar E 1998 Brain Function and Oscillations I: Brain Oscillations (Berlin: Springer-Verlag) p 103
14. Haken H 2002 Brain Dynamics-Synchronization and Activity Patterns in Pulse-Coupled Neural Nets with Delays and Noise (Berlin: Springer-Verlag) p 55
15. Lindner B, Ojalvo J G, Neiman A and Geier L S 2004 Phys. Rep. 392 321
16. Wang Q Y, Lu Q S, Chen G R and Guo D H 2006 Phys. Lett. A 356 17
17. Eckhorn R, Frien A, Bauer R, Woelbern T and Kehr H 1993 Neuro Rep. 4 243
18. Kreiter A K and Singer W 1996 J. Neurosci. 16 2381
19. Karantonis A, Miyakita Y and Nakabayashi S 2002 Phys. Rev. E 65 046213
20. Miyakita Y, Karantonis A and Nakabayashi S 2002 Chem. Phys. Lett. 362 461
21. Brunel N, Hakim V and Richardson M J E 2003 Phys. Rev. E 67 051916
22. Watts D J and Strogatz S H 1998 Nature (London) 393 440
23. Hatchett J P L, Skantzos N S and Nikoletopoulos T 2005 Phys. Rev. E 72 066105
24. Petermann T and Rios P D L 2006 Phys. Rev. E 73 026114
25. Percha B, Dzakpasu R and Zchowski M 2005 Phys. Rev. E 72 031909
26. Kwon O and Moon H 2002 Phys. Lett. A 298 319
27. Wiesenfeld K, Pierson D, Pantazelou E, Dames C and Moss F 1994 Phys. Rev. Lett. 72 2125
28. Toral R, Mirasso C R and Gunton J D 2003 Europhys. Lett. 61 162
29. Lindner B and Schimansky G L 1999 Phys. Rev. E 60 7270
30. Li Q S and Gao Y 2008 Phys. Rev. E 77 036117
31. Pikovsky A S, Rosemblum M and Kurths J 2001 A Universal Concept in Nonlinear Sciences (Cambridge: Cambridge University Press) p 36