@article {IOPORT.05977116,
    author       = {Akhmet, Marat},
    title        = {Analysis of biological integrate-and-fire oscillators.},
    year         = {2011},
    journal      = {Nonlinear Studies},
    volume       = {18},
    number       = {3},
    issn         = {1359-8678},
    pages        = {313-327},
    publisher    = {Nonlinear Studies, Daytona Beach, FL; I \& S Publishers, Daytona Beach, FL},
    abstract     = {Summary: A method of analysis of integrate-and-fire models which consist of pulse-coupled biological oscillators is developed. A thoroughly constructed map and techniques of investigation for differential equations with discontinuities at non-fixed moments are at the basis of the analysis. Synchronization and existence of periodic motions of oscillators, which are not quite identical are investigated. The second conjecture of {\it C. S. Peskin} [Mathematical aspects of heart physiology. NY: Courant Inst. Math. Sciences, NY Univ. (1975; Zbl 0301.92001)] is proven. Examples with numerical simulations are given to validate the theoretical results. Perspectives are discussed.},
    identifier   = {05977116},
}