Two-frequency self-oscillations in a FitzHugh–Nagumo neural network |
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Authors: | S D Glyzin A Yu Kolesov N Kh Rozov |
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Institution: | 1.Faculty of Mathematics,Yaroslavl State University,Yaroslavl,Russia;2.Faculty of Mechanics and Mathematics,Moscow State University,Moscow,Russia |
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Abstract: | A new mathematical model of a one-dimensional array of FitzHugh–Nagumo neurons with resistive-inductive coupling between neighboring elements is proposed. The model relies on a chain of diffusively coupled three-dimensional systems of ordinary differential equations. It is shown that any finite number of coexisting stable invariant two-dimensional tori can be obtained in this chain by suitably increasing the number of its elements. |
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