论文标题

fizhugh-Rinzel模型和非均匀振荡反应 - 散布系统中的非琐碎动力学

Non trivial dynamics in the FizHugh-Rinzel model and non-homogeneous oscillatory-excitable reaction-diffusions systems

论文作者

Ambrosio, B., Aziz-Alaoui, M. A., Mondal, Argha, Mondal, Arnab, Sharma, Sanjeev K., Upadhyay, Ranjit K.

论文摘要

在本文中,我们讨论了3维FITZHUGH-RINZEL(FHR)模型的动力学和一类非均匀的Fitzhugh-Nagumo(NH-FHN)反应扩散系统的动力学。 NH-FHN模型可用于在神经科学环境中生成相关的波传播现象。这可以在诸如大麻级,混合模式振荡和HOPF-BIFCACTIANS等复杂动力学上局部升高,其中一些可以在FHR模型中观察到。

In this article, we discuss the dynamics of the 3-dimensional FitzHugh-Rinzel (FHR) model and a class of non-homogeneous FitzHugh-Nagumo (Nh-FHN) Reaction-Diffusion systems. The Nh-FHN models can be used to generate relevant wave propagation phenomena in Neuroscience context. This gives raise locally to complex dynamics such as canards, Mixed Mode Oscillations, Hopf-Bifurcations some of which can be observed in the FHR model.

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