Scale - invariance of neural networks
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Keywords:
nonlinear model, neural network, hierarchial self-similar property, neural dynamicsAbstract
New nonlinear models for the description of neural networks have been suggested, these models are taking into account their hierarchial self-similar properties. Results of modeling have been compared with well-known numerical models and physical experiments on neural dynamics. The theory takes into account universal laws of neural dynamics, inherent to open physical system.
References
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2 Zhanabayev Z.Zh., Grevtseva T.Yu., Physica B: Condensed Matter, 391 (1), 12-17 (2007).
3 Hodgkin A.L., Huxley A.F., Bulletin of Mathematical Biology, 52 (1/2), 25-71 (1990).
4 Fitz Hugh R., Bulletin of Mathematical Biophysics, 17, 257-278 (1955).
5 Pozzo-Miller L.D., Moreira J.E., Llinas R.R. The First-Order, Journal of Neurocytology, 27, 419-429 (1998).
6 Baker R., Precht W., Llinas R., Exp. Brain Res., 15, 364-385 (1972).
2 Zhanabayev Z.Zh., Grevtseva T.Yu., Physica B: Condensed Matter, 391 (1), 12-17 (2007).
3 Hodgkin A.L., Huxley A.F., Bulletin of Mathematical Biology, 52 (1/2), 25-71 (1990).
4 Fitz Hugh R., Bulletin of Mathematical Biophysics, 17, 257-278 (1955).
5 Pozzo-Miller L.D., Moreira J.E., Llinas R.R. The First-Order, Journal of Neurocytology, 27, 419-429 (1998).
6 Baker R., Precht W., Llinas R., Exp. Brain Res., 15, 364-385 (1972).
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Published
2012-03-25
Issue
Section
Nonlinear Physics. Radiophysics
