Development and transition of spiral wave in the coupled Hindmarsh-Rose neurons in two-dimensional space

Chinese Physics B

Volumn 18, Issue 1, 2009, Pages 98-105

  Ma, Jun ^a,b   Ying, He Ping ^c   Liu, Yong ^d   Li, Shi Rong ^a  

^a LANZHOU UNIVERSITY OF TECHNOLOGY   (China)

^b CENTRAL CHINA NORMAL UNIVERSITY   (China)

^c ZHEJIANG UNIVERSITY   (China)

^d YANCHENG TEACHERS UNIVERSITY   (China)

Author keywords

Hindmarsh Rose neurons; Instability; Spiral wave

Indexed keywords

BIFURCATION (MATHEMATICS); KINETIC ENERGY; NEURONS; TWO DIMENSIONAL;

BIFURCATION PARAMETERS; COUPLED HINDMARSH-ROSE NEURONS; COUPLING COEFFICIENTS; EXTERNAL CURRENTS; HINDMARSH-ROSE NEURONS; INITIAL VALUES; INSTABILITY; NEAREST NEIGHBOURS; NEURONAL SYSTEMS; PARAMETER REGIONS; SPIRAL WAVE; TWO-DIMENSIONAL SPACES;

WAVES;

EID: 62649135548     PISSN: 16741056     EISSN: None     Source Type: Journal    
DOI: 10.1088/1674-1056/18/1/017     Document Type: Article

References (37)

1. Ferster D and Spruston N 1995 Science 270 756
2. Hansel D and Sompolinsky H 1992 Phys. Rev. Lett. 68 718
3. Hindmarsh J L and Rose R M 1982 Nature 276 162
4. Hindmarsh J L and Rose R M 1984 Proc. R. Soc. Lond. B 221 87
5. Gray C M 1994 J. Comp. Neurosci. 11 11
6. Dragoi V and Grosu I 1998 Neural Proc. Lett. 7 199
7. Wang Q Y and Lu Q S 2005 Chin. Phys. Lett. 22 543
8. He D H, Shi P L and Stone L W 2003 Phys. Rev. E 67 27201
9. Shi X and Lu Q S 2005 Chin. Phys. 14 77
10. Wang H X, Lu Q S and Wang Q Y 2005 Chin. Phys. Lett. 22 2173
11. Li J H and Han Y X 2007 Commun. Theor. Phys. (Beijing) 48 605
12. Gammaitoni L, Hänggi P, Jung P and Marchesoni F 1998 Rev. Mod. Phys. 70 223
13. Bulsara A R and Gammaitoni L 1996 Phys. Today 49 39
14. Wiesenfield D and Moss F 1995 Nature (London) 373 33
15. Wang M S, Hou Z H and Xin H W 2006 Chin. Phys. 15 2553
16. Wei D Q and Luo X S 2007 Commun. Theor. Phys. (Beijing) 48 759
17. Pikovsky A S and Kurths J 1997 Phys. Rev. Lett. 78 775
18. Holden A V 1997 Nature 387 655
19. Harris-White M E, Stephen A Z, Sally A and Andrew C C 1998 Neurophysiol. 79 1045
20. Huang X Y, Troy W C, Yang Q, Ma H T, Laing C R, Schiff S J and Wu J Y 2004 The J. Neuroscience 24 9897
21. Panfilov A V, Müller S C and Zykov V S 2000 Phys. Rev. E 61 4644
22. Ma J, Wang C N, Pu Z S and Li Y L 2006 Commun. Theor. Phys. (Beijing) 45 1035
23. Yuan G Y, Yang S P, Wang G R and Chen S G 2008 Chin. Phys. B 17 1925
24. Li B W, Sun L L, Chen B and Ying H P 2007 Chin. Phys. Lett. 24 2415
25. Ma J, Gao J H, Wang C N and Su J Y 2008 Chaos, Solitions Fractrals 38 521
26. Zhang S L, Hu B B and Zhang H 2003 Phys. Rev. E 67 016214
27. Liu F C, Wang X F, Li X C and Dong L F 2007 Chin. Phys. 16 2640
28. Yang J Z and Zhang M 2006 Commun. Theor. Phys. (Beijing) 45 647
29. Ma J, Jin W Y, Yi M and Li Y L 2008 Acta Phys. Sin. 57 2832 (in Chinese)
30. Tang G N, Deng M Y, Hu B B and Hu G 2008 Phys. Rev. E 77 46217
31. Ma J, Ying H P and Pu Z S 2005 Chin. Phys. Lett. 22 1065
32. Li B W, Zhang H, Ying H P, Chen W Q and Hu G 2008 Phys. Rev. E 77 56207
33. Ma J, Ying H P and Li Y L 2007 Chin. Phys. 16 955
34. Ma J, Yi M, Zhang L P, Jin W Y and Li Y L 2008 Commun. Theor. Phys. (Beijing) 49 1541
35. Goryachev A and Kapral R 1996 Phys. Rev. Lett. 76 1619
36. Pivka L 1995 IEEE Trans. Circ. Syst. 42 638
37. Hu G, Xiao J H, Chua L O and Pivka L 1998 Phys. Rev. Lett. 80 1884