Peng Wang, Ji-qian Zhang, Hai-lin Ren. In- and Anti-transition of Firing Patterns Induced by Random Long-range Connections in Coupled Hindmarsh-Rose Neurons System[J]. Chinese Journal of Chemical Physics , 2010, 23(1): 23-29. doi: 10.1088/1674-0068/23/01/23-29
Citation: Peng Wang, Ji-qian Zhang, Hai-lin Ren. In- and Anti-transition of Firing Patterns Induced by Random Long-range Connections in Coupled Hindmarsh-Rose Neurons System[J]. Chinese Journal of Chemical Physics , 2010, 23(1): 23-29. doi: 10.1088/1674-0068/23/01/23-29

In- and Anti-transition of Firing Patterns Induced by Random Long-range Connections in Coupled Hindmarsh-Rose Neurons System

doi: 10.1088/1674-0068/23/01/23-29
Funds:  The work was supported by the Key Research Foundation of Higher Education of Anhui Provinceof China (No.KJ2007A079), the Natural Science Founds of Anhui Province of China (No.090413099),and the Research Fund of Anhui Normal University (No.2006xzx09).
  • Received Date: 2009-05-18
  • The effects of random long-range connections (shortcuts) on the transitions of neural firing patterns in coupled Hindmarsh-Rose neurons are investigated, where each neuron is subjected to an external current. It is found that, on one hand, the system can achieve the transition of neural firing patterns from the fewer-period state to the multi-period one, when the number of the added shortcuts in the neural network is greater than a threshold value, indicating the occurrence of in-transition of neural firing patterns. On the other hand, for a stronger coupling strength, we can also find the similar but reverse results by adding some proper random connections. In addition, the influences of system size and coupling strength on such transition behavior, as well as the internality between the transition degree of firing patterns and its critical characteristics for different external stimulation current, are also discussed.
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In- and Anti-transition of Firing Patterns Induced by Random Long-range Connections in Coupled Hindmarsh-Rose Neurons System

doi: 10.1088/1674-0068/23/01/23-29
Funds:  The work was supported by the Key Research Foundation of Higher Education of Anhui Provinceof China (No.KJ2007A079), the Natural Science Founds of Anhui Province of China (No.090413099),and the Research Fund of Anhui Normal University (No.2006xzx09).

Abstract: The effects of random long-range connections (shortcuts) on the transitions of neural firing patterns in coupled Hindmarsh-Rose neurons are investigated, where each neuron is subjected to an external current. It is found that, on one hand, the system can achieve the transition of neural firing patterns from the fewer-period state to the multi-period one, when the number of the added shortcuts in the neural network is greater than a threshold value, indicating the occurrence of in-transition of neural firing patterns. On the other hand, for a stronger coupling strength, we can also find the similar but reverse results by adding some proper random connections. In addition, the influences of system size and coupling strength on such transition behavior, as well as the internality between the transition degree of firing patterns and its critical characteristics for different external stimulation current, are also discussed.

Peng Wang, Ji-qian Zhang, Hai-lin Ren. In- and Anti-transition of Firing Patterns Induced by Random Long-range Connections in Coupled Hindmarsh-Rose Neurons System[J]. Chinese Journal of Chemical Physics , 2010, 23(1): 23-29. doi: 10.1088/1674-0068/23/01/23-29
Citation: Peng Wang, Ji-qian Zhang, Hai-lin Ren. In- and Anti-transition of Firing Patterns Induced by Random Long-range Connections in Coupled Hindmarsh-Rose Neurons System[J]. Chinese Journal of Chemical Physics , 2010, 23(1): 23-29. doi: 10.1088/1674-0068/23/01/23-29

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