Nakajima Koji, Suenaga Shinya
Laboratory for Brainware Systems/Laboratory for Nanoelectronics and Spintronics, Research Institute of Electrical Communication, Tohoku University, Sendai 980-8577, Japan.
Chaos. 2008 Jun;18(2):023120. doi: 10.1063/1.2908443.
We present various bursting wave forms that are obtained from a simple model of the Hodgkin-Huxley type. The model is a typical example whose characteristics can be discussed through the concept of potential with active areas. A potential function is able to provide a global landscape for dynamics of a model, and the dynamics are explained in relation to the disposition of the active areas on the potential. We obtain the potential functions and the active areas for the Hindmarsh-Rose model, the Morris-Lecar system, and the Hodgkin-Huxley system, and hence, we are able to discuss the common properties among these models based on the concept of potential with active areas.
我们展示了从一个简单的霍奇金 - 赫胥黎类型模型中获得的各种爆发波形。该模型是一个典型例子，其特征可以通过具有活跃区域的势的概念来讨论。势函数能够为模型的动力学提供一个全局图景，并且动力学是根据势上活跃区域的分布来解释的。我们得到了 Hindmarsh - Rose 模型、Morris - Lecar 系统和霍奇金 - 赫胥黎系统的势函数和活跃区域，因此，我们能够基于具有活跃区域的势的概念来讨论这些模型之间的共同特性。
