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pro vyhledávání: '"Fen, Mehmet Onur"'
Autor:
Fen, Mehmet Onur, Fen, Fatma Tokmak
The notion of asymptotic unpredictability was recently introduced in (Commun. Nonlinear Sci. Numer. Simul. 134, 108029, 2024) for semiflows. Likewise unpredictable trajectories, asymptotically unpredictable ones are also capable of producing sensitiv
Externí odkaz:
http://arxiv.org/abs/2410.04729
Autor:
Fen, Mehmet Onur, Fen, Fatma Tokmak
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 feature of chaotic dynamics, is a crucial property that arises from such tra
Externí odkaz:
http://arxiv.org/abs/2405.06803
Autor:
Fen, Mehmet Onur, Fen, Fatma Tokmak
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 sensitivity and infinitely many unstable periodic oscillations in the r
Externí odkaz:
http://arxiv.org/abs/2312.11471
Autor:
Fen, Mehmet Onur, Fen, Fatma Tokmak
A R\"ossler 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 absence of the perturbation the system is assumed to possess two equilibri
Externí odkaz:
http://arxiv.org/abs/2308.11655
Autor:
Fen, Fatma Tokmak, Fen, Mehmet Onur
The existence, uniqueness, and asymptotic stability of modulo periodic Poisson stable solutions of dynamic equations on a periodic time scale are investigated. The model under investigation involves a term which is constructed via a Poisson stable se
Externí odkaz:
http://arxiv.org/abs/2210.04947
Autor:
Fen, Mehmet Onur, Fen, Fatma Tokmak
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 drive HNN possesses an unpredictable oscillation, then a response HN
Externí odkaz:
http://arxiv.org/abs/2202.12994
We demonstrate the extension of unpredictable motions in coupled autonomous systems with skew product structure in the case that generalized synchronization takes place. Sufficient conditions for the existence of unpredictable motions in the dynamics
Externí odkaz:
http://arxiv.org/abs/2202.02422
Autor:
Fen, Mehmet Onur, Fen, Fatma Tokmak
It is rigorously proved that quasilinear impulsive systems possess unpredictable solutions when a perturbation generated by an unpredictable sequence is applied. The existence, uniqueness, as well as asymptotic stability of such solutions are demonst
Externí odkaz:
http://arxiv.org/abs/2111.01129
Autor:
Fen, Mehmet Onur, Fen, Fatma Tokmak
It is rigorously proved under certain assumptions that a quasilinear system with discontinuous right-hand side possesses a unique unpredictable solution. The discontinuous perturbation function on the right-hand side is defined by means of an unpredi
Externí odkaz:
http://arxiv.org/abs/2111.00114
Continuous and discrete time systems possessing strange non-chaotic attractors are under investigation. It is demonstrated that unpredictable trajectories exist in the dynamics. A recent numerical technique, the sequential test, is utilized to show t
Externí odkaz:
http://arxiv.org/abs/2110.15805