Phase synchronization and its transition in two coupled bursting neurons: Theoretical and numerical analysis

Chinese Physics B

Volumn 19, Issue 6, 2010, Pages

  Wang, Hai Xia ^a   Lu, Qi Shao ^b   Shi, Xia ^c  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b BEIHANG UNIVERSITY   (China)

^c BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Bifurcation diagram; Phase synchronization; Synchronization transition

Indexed keywords

BIFURCATION DIAGRAM; BURSTING ACTIVITY; BURSTING NEURONS; COMPLETE SYNCHRONIZATION; COUPLED NEURONS; GAP JUNCTIONS; MEAN FREQUENCY DIFFERENCE; MORRIS-LECAR NEURONS; PHASE EQUATION; PHASE SYNCHRONIZATION; SIMULATION RESULT; SPIKE SYNCHRONIZATION; SYNCHRONIZATION TRANSITIONS; TIME-SCALES;

BIFURCATION (MATHEMATICS); NEURONS; NUMERICAL ANALYSIS; PHASE TRANSITIONS; TIME SERIES;

SYNCHRONIZATION;

EID: 77953556954     PISSN: 16741056     EISSN: None     Source Type: Journal    
DOI: 10.1088/1674-1056/19/6/060509     Document Type: Article

References (24)

1. Pikovsky A, Rosenblum M and Kurths J 2001 Synchronization: A Universal Concept in Nonlinear Science (Cambridge: Cambridge University Press) p 1-7
2. Dzakpasu R and Zochowski M 2005 Physica D 208 115
3. Singer W 1999 Neuron 24 49
4. Von der Malsburg C 1994 The Correlation Theory of Brain Function in: Models of Neural Networks II (Berlin: Springer) p 4, 5
5. Milton J and Jung P 2003 Epilepsy as a Dynamic Disease (Berlin: Springer) p 1-14
6. Izhikevich E M 2000 Int. J. Bifur. Chaos 10 1171
7. Shuai J W and Durand D M 1999 Phys. Lett. A 264 289
8. Shi X and Lu Q S 2007 Chin. Phys. Lett. 24 636
9. Li H Q, Xu W, Wang C Q and Liu X D 2008 Acta Biophys. Sin. 24 29 (in Chinese)
10. Dhamala M, Jirsa V K and Ding M Z 2004 Phys. Rev. Lett. 92 028101-1
11. Wang Q Y, Lu Q S and Wang H X 2005 Chin. Phys. 14 2189
12. Wang H X, Lu Q S and Zheng Y H 2009 J. Dynamics Control 7 293
13. Gonzlez-Miranda J M 2005 Phys. Rev. E 72 051922-1
14. Komarov M A, Osipov G V and Suykens J A K 2008 Chaos 18 037121-1
15. Wang Q Y, Duan Z S, Feng Z S, Chen G R and Lu Q S 2008 Physica A 387 4404
16. Boccaletti S, Kurths J, Osipov G, Valladares D L and Zhou C S 2002 Phys. Rep. 366 1
17. De Pontes J C A, Viana R L, Lopes S R, Batista C A S and Batista A M 2008 Physica A 387 4417
18. Batista C A S, Batista A M, De Pontes J C A, Lopes S R and Viana R L 2009 Chaos, Solitons Fractals 41 2220
19. Shi X and Lu Q S 2009 Physica A 388 2410
20. Chen Y H, Zhou T, He D H, Xu J X and Su W T 2002 Acta Phys. Sin. 51 731 (in Chinese)
21. Liu Y 2009 Acta Phys. Sin. 58 749 (in Chinese)
22. Wu Y, Xu J X, He D H and Jin W Y 2005 Acta Phys. Sin. 54 3457 (in Chinese)
23. Li C G and Chen G R 2004 Physica A 341 73
24. Rosenblum M G, Pikovsky A S and Kurths J 1996 Phys. Rev. Lett. 76 1804