Abstract
In this article, the high codimension bifurcations of a six-neuron BAM neural network system with multiple delays are addressed. We first deduce the existence conditions under which the origin of the system is a Bogdanov–Takens singularity with multiplicities two or three. By choosing the connection coefficients as bifurcation parameters and using the formula derived from the normal form theory and the center manifold, the normal forms of Bogdanov–Takens and triple zero bifurcations are presented. Some numerical examples are shown to support our main results.
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The authors would like to thank the anonymous reviewers for their valuable comments and suggestions. This research is supported by the National Natural Science Foundation of China (No. 11171206).
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Liu, Y., Li, S., Liu, Z. et al. High codimensional bifurcation analysis to a six-neuron BAM neural network. Cogn Neurodyn 10, 149–164 (2016). https://doi.org/10.1007/s11571-015-9364-y
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DOI: https://doi.org/10.1007/s11571-015-9364-y