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Solitary Wave and Periodic Wave Solutions of Generalized Neutral-Type Neural Networks with Delays

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Abstract

In this paper, we are concerned with the generalized neutral-type neural networks with delays. By employing the continuation theorem and some analysis techniques, several sufficient conditions of the existence of solitary wave and periodic wave solutions for the considered neural networks are proposed. Moreover, we also consider the asymptotic behavior results of periodic wave solutions via the Lyapunov function. Finally, a numerical example is given to illustrate the effectiveness of our obtained results.

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Acknowledgements

The authors thank the anonymous reviewers for their insightful suggestions which improved this work significantly. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11471278, 11271197, 11471109) and Construct Program of the Key Discipline in Hunan Province.

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Authors and Affiliations

  1. Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China), College of Mathematics and Computer Science, Hunan Normal University, Changsha, 410081, Hunan, People’s Republic of China

    Fanchao Kong & Zhiguo Luo

  2. Mathematics and Computer Science College, Changsha University, Changsha, 410022, Hunan, People’s Republic of China

    Fanchao Kong

  3. College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, People’s Republic of China

    Shiping Lu

Authors
  1. Fanchao Kong
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  2. Shiping Lu
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  3. Zhiguo Luo
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Correspondence to Fanchao Kong.

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Kong, F., Lu, S. & Luo, Z. Solitary Wave and Periodic Wave Solutions of Generalized Neutral-Type Neural Networks with Delays. Neural Process Lett 48, 441–458 (2018). https://doi.org/10.1007/s11063-017-9747-7

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  • DOI: https://doi.org/10.1007/s11063-017-9747-7

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