Analysis of biological integrate-and-fire oscillators
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🧮 math.DS
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oscillatorsanalysisbiologicalintegrate-and-fireadvancesbasisbeenconjecture
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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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