Abstract
We present a simple neuron model that shows a rich property in spite of the simple structure derived from a simplification of the Hindmarsh-Rose, the Morris-Lecar, and the Hodgkin-Huxley models. 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 is explained in connection with the disposition of the active areas on the potential, and hence we are able to discuss the global dynamic behaviors and the common properties among these realistic models.
Original language | English |
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Title of host publication | Procedia IUTAM |
Pages | 49-53 |
Number of pages | 5 |
Volume | 5 |
DOIs | |
Publication status | Published - 2012 |
Event | IUTAM Symposium on 50 Years of Chaos: Applied and Theoretical - Kyoto, Japan Duration: 2011 Nov 28 → 2011 Dec 2 |
Other
Other | IUTAM Symposium on 50 Years of Chaos: Applied and Theoretical |
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Country | Japan |
City | Kyoto |
Period | 11/11/28 → 11/12/2 |
Keywords
- Active area
- Burst
- Chaos
- Neuron model
- Phase diagram
- Potential
- Spike
ASJC Scopus subject areas
- Mechanical Engineering