Analysis of biological integrate-and-fire oscillators

Details Analysis of biological integrate-and-fire oscillators Analysis of biological integrate-and-fire oscillators

2010-11-25

arxiv.org/abs/1011.5632v2

Mathematics

Dynamical Systems

Scientific paper

We consider discontinuous dynamics of integrate-and-fire models, which consist of pulse-coupled biological oscillators. A thoroughly constructed map is in the basis of the analysis. Synchronization of non-identical oscillators is investigated. Significant advances for the solution of second Peskin's conjecture have been made. Examples with numerical simulations are given to validate the theoretical results. Perspectives are discussed.

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