6 papers
Generation of Synchronous Unpredictable Oscillations by Coupled Hopfield Neural Networks
Mehmet Onur Fen, Fatma Tokmak Fen
A new criterion based on generalized synchronization is provided for the extension of unpredictable oscillations among coupled Hopfield neural networks (HNNs). It is shown that if…
A Novel Criterion for Unpredictable Motions
Fatma Tokmak Fen, Mehmet Onur Fen, Marat Akhmet
We demonstrate the extension of unpredictable motions in coupled autonomous systems with skew product structure in the case that generalized synchronization takes place. Sufficient…
Unpredictability in Perturbed Quasilinear Systems with Regular Moments of Impulses
Mehmet Onur Fen, Fatma Tokmak Fen
It is rigorously proved that quasilinear impulsive systems possess unpredictable solutions when a perturbation generated by an unpredictable sequence is applied. The existence, uni…
Unpredictable Solutions of Quasilinear Systems with Discontinuous Right-Hand Sides
Mehmet Onur Fen, Fatma Tokmak Fen
It is rigorously proved under certain assumptions that a quasilinear system with discontinuous right-hand side possesses a unique unpredictable solution. The discontinuous perturba…
Replication of Period-Doubling Route to Chaos in Coupled Systems with Delay
Mehmet Onur Fen, Fatma Tokmak Fen
In this study, replication of a period-doubling cascade in coupled systems with delay is rigorously proved under certain assumptions, which guarantee the existence of bounded solut…
Period-doubling route to chaos in driven impulsive systems
Mehmet Onur Fen, Fatma Tokmak Fen
In the present study, we investigate the dynamics of impulsive differential equations driven by a chaotic system. We rigorously prove that, likewise the drive, the response impulsi…