Abstract
Mixed mode oscillations in three-timescale coupled Morris-Lecar neurons
Biology and Medicine through Mathematics
05/20/2022
Abstract
Mixed mode oscillations (MMOs) are complex oscillatory behaviors of multiple-time scale dynamical systems in which there is an alternation of large-amplitude and small-amplitude oscillations. While MMOs in two-timescale systems have been extensively studied, less is known regarding MMOs emerging in three-timescale systems. In this work, we examine the mechanisms of MMOs in a system of coupled Morris-Lecar neurons with three distinct timescales. We show how features and mechanisms of MMOs vary with respect to several key model parameters. Moreover, we give conditions under which two separate mechanisms of MMOs in the two-timescale context, canard and delayed Andronov-Hopf bifurcation, can interact in a three-timescale setting and produce more robust MMOs
Details
- Title: Subtitle
- Mixed mode oscillations in three-timescale coupled Morris-Lecar neurons
- Creators
- NgocAnh PhanYangyang Wang
- Resource Type
- Abstract
- Conference
- Biology and Medicine through Mathematics
- Publisher
- VCU Scholars Compass
- Language
- English
- Date published
- 05/20/2022
- Academic Unit
- Mathematics; Iowa Neuroscience Institute
- Record Identifier
- 9984251631702771
Metrics
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