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State-to-State Transitions in a Hindmarsh-Rose Neuron System |
| HUANG Shou-Fang, ZHANG Ji-Qian, DING Shi-Jiang |
| College of Physics and Electronic Information, Anhui Normal University, Wuhu 241000 |
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| Cite this article: |
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HUANG Shou-Fang, ZHANG Ji-Qian, DING Shi-Jiang 2009 Chin. Phys. Lett. 26 050502 |
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Abstract We investigate the dynamical response of the neuron system to a feeble external signal by using the Hindmarsh-Rose model, when the system is tuned below the first bifurcation point, which corresponds to the period-1 bursting state, and an external signal with a fixed period of about 170s is introduced to the system. It is found that to respond to the outside signal, the system changes from the period-1 state to a period-2 one with variation of the signal amplitude, indicating the occurrence of state-to-state transition (SST). Moreover, when a signal with different fixed periods is introduced, we can also find a similar transition between other states. Furthermore, the effect of the frequency of the signal on the transition is also discussed. These results may imply that SST plays a constructive role in information processing in neuron systems.
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| Keywords:
05.45.-a
05.45.Df
05.65.+b
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Received: 19 December 2008
Published: 23 April 2009
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