59 citations · 61 across the 6 of their papers we have counts for
6 papers
Unpredictable solutions of differential equations
Marat Akhmet, Mehmet Onur Fen
We apply the topology of convergence on compact sets to define unpredictable functions [5, 6]. The topology is metrizable and easy for applications with integral operators. To demo…
Persistence of Chaos in Coupled Lorenz Systems
Mehmet Onur Fen
The dynamics of unidirectionally coupled chaotic Lorenz systems is investigated. It is revealed that chaos is present in the response system regardless of generalized synchronizati…
Homoclinical structure of SICNNs with rectangular input currents
Mehmet Onur Fen, Fatma Tokmak Fen
Shunting inhibitory cellular neural networks (SICNNs) with continuous as well as discontinuous external inputs are investigated. The descriptions of homoclinic and heteroclinic mot…
Poincaré chaos and unpredictable functions
Marat Akhmet, Mehmet Onur Fen
The results of this study are continuation of the research of Poincaré chaos initiated in papers (Akhmet M, Fen MO. Commun Nonlinear Sci Numer Simulat 2016;40:1-5; Akhmet M, Fen MO…
Entrainment by Spatiotemporal Chaos in Glow Discharge-Semiconductor Systems
Marat Akhmet, Ismail Rafatov, Mehmet Onur Fen
Entrainment of limit cycles by chaos [1] is discovered numerically through specially designed unidirectional coupling of two glow discharge-semiconductor systems. By utilizing the…
Morphogenesis of Chaos
Marat Akhmet, Mehmet Onur Fen
Morphogenesis, as it is understood in a wide sense by René Thom, is considered for various types of chaos. That is, those, obtained by period-doubling cascade, Devaney's and Li-Yor…