74 citations · 195 across the 43 of their papers we have counts for
5 papers · 1 filter
Unpredictable sequences and Poincaré chaos
Marat Akhmet, Mehmet Onur Fen
To make research of chaos more friendly with discrete equations, we introduce the concept of an unpredictable sequence as a specific unpredictable function on the set of integers.…
Almost Periodicity in Chaos
Marat Akhmet, Mehmet Onur Fen
Periodicity plays a significant role in the chaos theory from the beginning since the skeleton of chaos can consist of infinitely many unstable periodic motions. This is true for c…
Persistence of Li-Yorke chaos in systems with relay
Marat Akhmet, Mehmet Onur Fen, Ardak Kashkynbayev
It is rigorously proved that the chaotic dynamics of the non-smooth system with relay function is persistent even if a chaotic perturbation is applied. We consider chaos in a modif…
Tikhonov Theorem for Differential Equations with Singular Impulses
Marat Akhmet, Sabahattin Çağ
The paper considers impulsive systems with singularities. The main novelty of the present research is that impulses (impulsive functions) are singular. This is beside singularity o…
Bifurcation analysis of Wilson-Cowan model with singular impulses
Marat Akhmet, Sabahattin Çağ
The paper concerns with Wilson-Cowan neural model with impulses. The main novelty of the study is that besides the traditional singularity of the model, we consider singular impuls…