74 citations · 195 across the 43 of their papers we have counts for
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math.DS2010★ 3 cited
Analysis of biological integrate-and-fire oscillators
Marat Akhmet
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…
math.DS2010
A remark for dynamic equations on time scales
Marat Akhmet, Mehmet Turan
We give a proposal to generalize the concept of the differential equations on time scales, such that they can be more appropriate for the analysis of real world problems, and give…
nlin.CD2010★ 4 cited
Chaos of the logistic equation with piecewise constant argument
Marat Akhmet, Derya Altintan, Tanil Ergenc
We consider the logistic equation with different types of the piecewise constant argument. It is proved that the equation generates chaos and intermittency. Li-Yorke chaos is obtai…