74 citations · 161 across the 37 of their papers we have counts for
41 papers
Anti-periodic Solutions of Quasilinear Impulsive Systems with Piecewise Constant Argument of Generalized Type
Fatma Tokmak Fen, Mehmet Onur Fen, Eman Bakır Ahmad Ajm
This study is devoted to anti-periodic solutions of quasilinear impulsive systems with piecewise constant argument of generalized type. We rigorously prove the existence and unique…
Homoclinic and Heteroclinic Trajectories of Differential Equations with Piecewise Constant Arguments of Generalized Type
Mehmet Onur Fen, Fatma Tokmak Fen
Quasilinear systems with piecewise constant arguments of generalized type are under investigation from the asymptotic point of view. The systems have discontinuous right-hand sides…
Asymptotically Unpredictable Solutions of Quasilinear Impulsive Systems with Regular Discontinuity Moments
Mehmet Onur Fen, Fatma Tokmak Fen
The notion of asymptotic unpredictability was recently introduced in (Commun. Nonlinear Sci. Numer. Simul. 134, 108029, 2024) for semiflows. Likewise unpredictable trajectories, as…
Continuous-Time and Discrete-Time Quasilinear Systems with Asymptotically Unpredictable Solutions
Mehmet Onur Fen, Fatma Tokmak Fen
A novel type of trajectory on semiflows, called asymptotically unpredictable, was proposed by Fen and Tokmak Fen [15]. The presence of sensitivity, which is an indispensable featur…
Persistence and Doubling of Chaotic Attractors in Coupled 3-Cell Hopfield Neural Networks
Mehmet Onur Fen, Fatma Tokmak Fen
Two novel phenomena for unidirectionally coupled 3-cell Hopfield neural networks (HNNs) are investigated. The first one is the persistence of chaos, which means the permanency of s…
Period-Doubling Route to Chaos and Intermittency in a Hybrid Rössler Model
Mehmet Onur Fen, Fatma Tokmak Fen
A Rössler model perturbed with a piecewise constant function is investigated. The perturbation function used in the model is constructed by means of the logistic map. In the absenc…