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초록
In this paper, we present a general method for the stability analysis of some bursting models. Our method is geometric in the sense that we consider a flow-defined return map defined on a section and determine when the map is a contraction. We find that there are three different stability types in the codimension-1 planar bursters.
키워드
bursting; stability; bifurcation; delayed behavior; singular perturbation; OSCILLATIONS; GENERATION; SPIKING; NEURONS
- 제목
- Stability analysis of bursting models
- 저자
- Lee, E
- 발행일
- 2005-07
- 유형
- Article
- 저널명
- 대한수학회지
- 권
- 42
- 호
- 4
- 페이지
- 827 ~ 845