Multistability and multiperiodicity of high-order competitive neural networks with a general class of activation functions

@article{Nie2012MultistabilityAM,
  title={Multistability and multiperiodicity of high-order competitive neural networks with a general class of activation functions},
  author={Xiaobing Nie and Zhenkun Huang},
  journal={Neurocomputing},
  year={2012},
  volume={82},
  pages={1-13}
}
In this paper, high-order synaptic connectivity is introduced into competitive neural networks and the multistability and multiperiodicity issues are discussed for high-order competitive neural networks with a general class of activation functions. Based on decomposition of state space, Halanay inequality, Cauchy convergence principle and inequality technique, some sufficient conditions are derived for stable. As an extension of multistability, some similar results are presented for ensuring… CONTINUE READING

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