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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…
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…
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…
Strange Non-Chaotic Attractors with Unpredictable Trajectories
Marat Akhmet, Mehmet Onur Fen, Astrit Tola
Continuous and discrete time systems possessing strange non-chaotic attractors are under investigation. It is demonstrated that unpredictable trajectories exist in the dynamics. A…
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…