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Qualitative analysis and application of locally coupled neural oscillator network

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Abstract

This paper investigates a locally coupled neural oscillator autonomous system qualitatively. By applying an approximation method, we give a set of parameter values with which an asymptotically stable limit cycle exists, and the sufficient conditions on the coupling parameters that guarantee asymptotically global synchronization are established under the same external input. A gradational classifier is introduced to detect synchronization, and the network model based on the analytical results is applied to image segmentation. The performance is comparable to the results from other segmentation methods.

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Acknowledgments

This research is partially sponsored by Natural Science Foundation of China (Nos. 61070149, 61175115, 60702031, 60970087, and 61070116), National Basic Research Program of China (No. 2009CB320902), Beijing Natural Science Foundation (Nos. 4102013, 4072023), and President Fund of Graduate University of Chinese Academy of Sciences (No. 085102HN00).

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Authors and Affiliations

  1. College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China

    Yuanhua Qiao & Yong Meng

  2. College of Computer Science, Beijing University of Technology, Beijing, 100124, China

    Lijuan Duan & Faming Fang

  3. Key Laboratory of Intelligent Information Processing, Institute of Computing Technology, Chinese Academy of Sciences, Beijing, 100190, China

    Jun Miao

Authors
  1. Yuanhua Qiao
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  2. Yong Meng
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  3. Lijuan Duan
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  4. Faming Fang
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  5. Jun Miao
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Correspondence to Yuanhua Qiao.

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Qiao, Y., Meng, Y., Duan, L. et al. Qualitative analysis and application of locally coupled neural oscillator network. Neural Comput & Applic 21, 1551–1562 (2012). https://doi.org/10.1007/s00521-012-0829-1

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  • DOI: https://doi.org/10.1007/s00521-012-0829-1

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