Multistability of neural networks with Mexican-hat-type activation functions.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 24808075.
- Also identified by DOI 10.1109/TNNLS.2012.2210732.
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Abstract
In this paper, we are concerned with a class of neural networks with Mexican-hat-type activation functions. Due to the different structure from neural networks with saturated activation functions, a set of new sufficient conditions are presented to study the multistability, including the total number of equilibrium points, their locations, and stability. Furthermore, the attraction basins of stable equilibrium points are investigated for two-neuron neural networks. The investigation shows that the stable manifolds of unstable equilibrium points constitute the boundaries of attraction basins of stable equilibrium points. Several illustrative examples are given to verify the effectiveness of our results.
Medical subject headings
- Algorithms
- Artificial Intelligence
- Neural Networks, Computer
- Nonlinear Dynamics