Cluster synchronization in networks of neurons with chemical synapses

Chaos

Volumn 24, Issue 1, 2014, Pages

  Juang, Jonq ^a,b   Liang, Yu Hao ^c  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

^b NATIONAL CENTER FOR THEORETICAL SCIENCES   (Taiwan)

^c NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; BIOLOGICAL MODEL; HUMAN; NERVE CELL; NERVE CELL NETWORK; PHYSIOLOGY; SYNAPSE;

ANIMALS; HUMANS; MODELS, NEUROLOGICAL; NERVE NET; NEURONS; SYNAPSES;

EID: 84921424812     PISSN: 10541500     EISSN: 10897682     Source Type: Journal    
DOI: 10.1063/1.4862484     Document Type: Article

References (21)

1. I. Belykh and M. Hasler, Chaos 21, 016106 (2011).
2. I. Belykh and M. Hasler, "Patterns of synchrony in neuronal networks: The role of synaptic inputs," in Nonlinear Dynamics: New Directions (Springer, in press).
3. A. Sherman, Bull. Math. Biol. 56, 811 (1994).
4. D. Terman and D. Wang, Physica D 81, 148 (1995).
5. M. I. Rabinovich, J. J. Torres, P. Varona, R. Huerta, and P. Weidman, Phys. Rev. E 60, R1130 (1999).
6. E. Izhikevich, SIAM Rev. 43, 315 (2001).
7. J. Rubin and D. Terman, SIAM J. Appl. Dyn. Syst. 1, 146 (2002).
8. M. Dhamala, V. K. Jirsa, and M. Ding, Phys. Rev. Lett. 92, 074104 (2004).
9. G. de Veies and A. Sherman, "Beyond synchronization: Modulatory and emergent effects of coupling in square-wave bursting," in Bursting: The Genesis of Rhythm in the Nervous System (World Scientific Publishing, Singapore, 2005), pp. 243-272.
10. I. Belykh, E. de Lange, and M. Hasler, Phys. Rev. Lett. 94, 188101 (2005).
11. I. Belykh and A. Shilnikov, Phys. Rev. Lett. 101, 078102 (2008).
12. A. Shilnikov, R. Gordon, and I. Belykh, Chaos 18, 037120 (2008).
13. S. Jalil, I. Belykh, and A. Shilnikov, Phys. Rev. E 81, 045201 (2010).
14. F.-J. Jhou, J. Juang, and Y.-H. Liang, IEEE Trans. Circuits Syst. I, Reg. Papers 59, 1335 (2012).
15. V. N. Belykh, G. V. Osipov, V. S. Petrov, J. A. K. Suykens, and J. Vandewalle, Chaos 18, 037106 (2008).
16. J. Cao and L. Li, Neural Networks 22, 335 (2009).
17. W. Lu, B. Liu, and T. Chen, Chaos 20, 013120 (2010).
18. J.-S. Wu, L.-C. Jiao, and G.-R. Chen, Chin. Phys. B 20, 060503 (2011).
19. Y. Wang and J. Cao, Nonlinear Anal.: Real World Appl. 14, 842 (2013).
20. D. Somers and N. Kopell, Biol. Cybern. 68, 393 (1993).
21. M. Storace, D. Linaro, and E. de Lange, Chaos 18, 033128 (2008).