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Breakup of Spiral Waves in Coupled Hindmarsh--Rose Neurons |
| MA Jun, JIA Ya, TANG Jun, YANG Li-Jian |
| 1Department of Physics, Central China Normal University, Wuhan 4300792School of Sciences, Lanzhou University of Technology, Lanzhou 730050 |
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| Cite this article: |
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MA Jun, JIA Ya, TANG Jun et al 2008 Chin. Phys. Lett. 25 4325-4328 |
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Abstract Breakup of spiral wave in the Hindmarsh--Rose neurons with nearest-neighbour couplings is reported. Appropriate initial values and parameter regions are selected to develop a stable spiral wave and then the Gaussian coloured noise with different intensities and correlation times is imposed on all neurons to study the breakup of spiral wave, respectively. Based on the mean field theory, the statistical factor of synchronization is defined to analyse the evolution of spiral wave. It is found that the stable rotating spiral wave encounters breakup with increasing intensity of Gaussian coloured noise or decreasing correlation time to certain threshold.
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| Keywords:
47.54.-r
05.45.-a
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Received: 03 September 2008
Published: 27 November 2008
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| PACS: |
47.54.-r
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(Pattern selection; pattern formation)
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05.45.-a
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(Nonlinear dynamics and chaos)
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