Chin. Phys. Lett.  2011, Vol. 28 Issue (9): 090201    DOI: 10.1088/0256-307X/28/9/090201
GENERAL |
SubHopf/Fold-Cycle Bursting in the Hindmarsh–Rose Neuronal Model with Periodic Stimulation
JI Ying**, BI Qin-Sheng
Faculty of Science, Jiangsu University, Zhenjiang 212013
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JI Ying, BI Qin-Sheng 2011 Chin. Phys. Lett. 28 090201
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Abstract The dynamics of Hindmarsh–Rose neuronal systems with periodic external stimulation is investigated. The bursting phenomenon can be observed in numerical simulations when an order gap exists between the stimulation frequency and the natural frequency of the system. By treating the external stimulation as a control parameter that modulates the dynamics of the system, the bifurcation mechanism for the periodic bursting solution is discussed with the slow-fast analysis method.
Keywords: 02.30.Oz      05.45.Ac      05.45.Pq     
Received: 16 November 2010      Published: 30 August 2011
PACS:  02.30.Oz (Bifurcation theory)  
  05.45.Ac (Low-dimensional chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/28/9/090201       OR      https://cpl.iphy.ac.cn/Y2011/V28/I9/090201
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JI Ying
BI Qin-Sheng
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