Hysteresis bifurcation and application to delayed Fitzhugh-Nagumo neural systems (Q2661288)
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| Language | Label | Description | Also known as |
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| English | Hysteresis bifurcation and application to delayed Fitzhugh-Nagumo neural systems |
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Hysteresis bifurcation and application to delayed Fitzhugh-Nagumo neural systems (English)
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3 April 2021
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In this paper, the authors discuss hysteresis transiting between different types of attractors. The subcritical Hopf bifurcation and a saddle-node bifurcation of limit cycles are discussed. The pertubation method is used for the normal form up to the fifth order. The time-delayed FitzHugh-Nagumo neural system is discussed as a sample problem. The results presented in this paper may help bursting oscillations.
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bifurcation
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time delay
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hysteresis
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bursting
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Fitzhugh-Nagumo neuron
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