Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Akhmet, M. U."'
Autor:
Akhmet, M. U., Yilmaz, E.
In this paper, we consider a model of impulsive recurrent neural networks with piecewise constant delay. The dynamics are presented by differential equations with discontinuities such as impulses at fixed moments and piecewise constant argument of ge
Externí odkaz:
http://arxiv.org/abs/1108.0539
Autor:
Akhmet, M. U.
A multidimensional chaos is generated by a special initial value problem for the non-autonomous impulsive differential equation. The existence of a chaotic attractor is shown, where density of periodic solutions, sensitivity of solutions and existenc
Externí odkaz:
http://arxiv.org/abs/0801.0214
Autor:
Akhmet, M. U., Bekmukhambetova, G. A.
We consider a system of differential equations the behavior of which solutions possesses several properties characteristic of the blood pressure distribution. The system can be used for a compartmental modeling of the cardiovascular system. It admits
Externí odkaz:
http://arxiv.org/abs/0712.4001
Autor:
Akhmet, M. U.
In this paper we introduce a new type of differential equations with piecewise constant argument (EPCAG), more general than EPCA. The Reduction Principle is proved for EPCAG. The structure of the set of solutions is specified. We establish also the e
Externí odkaz:
http://arxiv.org/abs/math/0610651
Autor:
Akhmet, M. U.
We consider existence and stability of an almost periodic solution of the quasilinear system of differential equations with piecewise constant argument of generalized type. The associated linear homogeneous system satisfies exponential dichotomy. The
Externí odkaz:
http://arxiv.org/abs/math/0602309
In this paper we establish asymptotic (biasymptotic) equivalence between spaces of solutions of a given linear homogeneous system and a perturbed system. The perturbations are of either linear or weakly linear characters. Existence of a homeomorphism
Externí odkaz:
http://arxiv.org/abs/math/0601013
Autor:
Akalin, E., Akhmet, M. U.
In this paper, we define B-smooth discontinuous dynamical systems which can be used as models of various processes in mechanics, electronics, biology and medicine. We find sufficient conditions to guarantee the existence of such systems. These condit
Externí odkaz:
http://arxiv.org/abs/math/0408297
Autor:
Akhmet, M. U.1 marat@metu.edu.tr, Kıvılcım, A.1
Publikováno v:
Interdisciplinary Journal of Discontinuity, Nonlinearity & Complexity. Sep2018, Vol. 7 Issue 3, p259-274. 16p.
Autor:
AKHMET, M. U.1 marat@metu.edu.tr, KASHKYNBAYEV, A.1 ardaky@gmail.com
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations. 12/2/2013, Issue 62-78, p1-23. 23p.
Autor:
AKHMET, M. U.1 marat@metu.edu.t, KASHKYNBAYEV, A.1 ardaky@gmail.com
Publikováno v:
Miskolc Mathematical Notes. 2013, Vol. 14 Issue 3, p737-748. 12p.