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Akhmet, Marat Ubaydulla

Co-Author Distance
Author ID: akhmet.marat-u Recent zbMATH articles by "Akhmet, Marat Ubaydulla"
Published as: Akhmet, M. U.; Akhmet, Marat; Akhmetov, M. U.; Akhmet, M.; Akhmet, Marat U.; Akhmet, Marat U.; Akhmetov, M.
Homepage: http://users.metu.edu.tr/marat/
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef
Documents Indexed: 185 Publications since 1983, including 8 Books and 11 Additional arXiv Preprints
Reviewing Activity: 69 Reviews
Co-Authors: 51 Co-Authors with 142 Joint Publications
1,314 Co-Co-Authors
all top 5

Co-Authors

41 single-authored
29 Fen, Mehmet Onur
25 Perestyuk, Mykola Oleksiĭovych
11 Alejaily, Ejaily Milad
9 Tleubergenova, Madina
9 Zafer, Ağacık
8 Aruğaslan, Duygu
8 Turan, Mehmet
8 Yılmaz, Enes
7 Kashkynbayev, Ardak
7 Kivilcim, Ayşegül
6 Tleubergenova, M. A.
6 Zhamanshin, Akylbek
4 Çağ, Sabahattin
3 Alzabut, Jehad O.
3 Büyükadalı, Cemil
3 Ergenç, Tanil
3 Seilova, Roza D.
2 Beklioglu, M.
2 Bekmukhambetova, G. A.
2 Kirane, Mokhtar
2 Liu, Xinzhi
2 Nugayeva, Zakhira
2 Sejilova, R. D.
2 Uğur, Ömür
2 Weber, Gerhard-Wilhelm
1 Akalin, E.
1 Aklain, E.
1 Altıntan, Derya
1 Alwan, Mohamad S.
1 Aruğaslan Çinçin, Duygu
1 Başkan, Kaǧan
1 Bekmukhambetova, Gul’baram
1 Cengiz, Nur
1 Çinįn, Duygu Aruğaslan
1 Dauylbaev, Murathan
1 Fečkan, Michal
1 Gebert, Jutta
1 Karacaören, M.
1 Mehmet, Onur Fen
1 Mirzakulova, Aziza
1 Nagaev, R. F.
1 Öktem, Hakan
1 Pickl, Stefan Wolfgang
1 Rafatov, Ismail R.
1 Sal’zhanova, M. B.
1 Serinağaoğlu, Y.
1 Tkachenko, Victor Ivanovich
1 Tleubergenov, M. A.
1 Tola, A.
1 Yeşil, Cihan
1 Zhamanshin, Akylbel
all top 5

Serials

12 Ukrainian Mathematical Journal
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Discontinuity, Nonlinearity, and Complexity
10 Communications in Nonlinear Science and Numerical Simulation
8 Ukraïns’kyĭ Matematychnyĭ Zhurnal
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Journal of Mathematical Analysis and Applications
5 Carpathian Journal of Mathematics
5 Kazakh Mathematical Journal
4 Computers & Mathematics with Applications
4 Turkish Journal of Mathematics
4 Electronic Journal of Qualitative Theory of Differential Equations
4 Chaos
4 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
4 Miskolc Mathematical Notes
3 Izvestiya Akademii Nauk Kazakhskoĭ SSR, Seriya Fiziko-Matematicheskaya
3 Journal of Computational and Applied Mathematics
3 Applied Mathematics Letters
3 Nonlinear Analysis. Real World Applications
3 Nonlinear Analysis. Hybrid Systems
3 Nonlinear Systems and Complexity
2 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A
2 Differential Equations
2 Neural Networks
2 Nonlinear Studies
2 Nonlinear Dynamics
2 Neliniĭni Kolyvannya
2 Differential Equations
2 Discrete and Continuous Dynamical Systems. Series B
2 International Journal of Qualitative Theory of Differential Equations and Applications
2 Nonlinear Physical Science
1 Journal of Applied Mathematics and Mechanics
1 Applied Mathematics and Computation
1 Differentsial’nye Uravneniya
1 Journal of Optimization Theory and Applications
1 Mathematics and Computers in Simulation
1 Dynamic Systems and Applications
1 European Journal of Operational Research
1 Studia Universitatis Babeș-Bolyai. Mathematica
1 Journal of Nonlinear Science
1 Discrete and Continuous Dynamical Systems
1 Communications in Applied Analysis
1 Differential Equations and Dynamical Systems
1 Vychislitel’nye Tekhnologii
1 Visnyk Kyïvs’kogo Universytetu. Matematyka i Mekhanika
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Communications on Pure and Applied Analysis
1 Matematicheskiĭ Zhurnal
1 Matematicheskaya Fizika
1 Atlantis Studies in Mathematics for Engineering and Science
1 Nonlinear Analysis. Theory, Methods & Applications
1 Applied Mathematics and Nonlinear Sciences
all top 5

Fields

142 Ordinary differential equations (34-XX)
57 Dynamical systems and ergodic theory (37-XX)
29 Biology and other natural sciences (92-XX)
14 Systems theory; control (93-XX)
6 Difference and functional equations (39-XX)
5 Measure and integration (28-XX)
5 Mechanics of particles and systems (70-XX)
4 Partial differential equations (35-XX)
4 Probability theory and stochastic processes (60-XX)
3 Integral equations (45-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Numerical analysis (65-XX)
3 Computer science (68-XX)
3 Fluid mechanics (76-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Operator theory (47-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

139 Publications have been cited 1,271 times in 588 Documents Cited by ▼ Year ▼
Principles of discontinuous dynamical systems. Zbl 1204.37002
Akhmet, Marat
113
2010
Nonlinear hybrid continuous/discrete-time models. Zbl 1328.93001
Akhmet, Marat
53
2011
Integral manifolds of differential equations with piecewise constant argument of generalized type. Zbl 1122.34054
Akhmet, M. U.
52
2007
An impulsive ratio-dependent predator-prey system with diffusion. Zbl 1114.35097
Akhmet, M. U.; Beklioglu, M.; Ergenc, T.; Tkachenko, V. I.
50
2006
Stability of differential equations with piecewise constant arguments of generalized type. Zbl 1173.34042
Akhmet, M. U.
46
2008
On the reduction principle for differential equations with piecewise constant argument of generalized type. Zbl 1134.34048
Akhmet, M. U.
42
2007
Perturbations and Hopf bifurcation of the planar discontinuous dynamical system. Zbl 1066.34008
Akhmet, M. U.
36
2005
On the general problem of stability for impulsive differential equations. Zbl 1047.34094
Akhmet, M. U.
35
2003
Stability in cellular neural networks with a piecewise constant argument. Zbl 1191.68484
Akhmet, M. U.; Aruğaslan, D.; Yılmaz, E.
35
2010
Impulsive Hopfield-type neural network system with piecewise constant argument. Zbl 1202.92001
Akhmet, M. U.; Yılmaz, E.
30
2010
Stability analysis of recurrent neural networks with piecewise constant argument of generalized type. Zbl 1400.34112
Akhmet, M. U.; Aruğaslan, D.; Yılmaz, E.
26
2010
The differential equations on time scales through impulsive differential equations. Zbl 1110.34006
Akhmet, M. U.; Turan, M.
25
2006
Perron’s theorem for linear impulsive differential equations with distributed delay. Zbl 1101.34065
Akhmet, M. U.; Alzabut, J.; Zafer, A.
21
2006
Li-Yorke chaos in the system with impacts. Zbl 1153.37017
Akhmet, M. U.
21
2009
Almost periodic solutions of differential equations with piecewise constant argument of generalized type. Zbl 1166.34039
Akhmet, M. U.
21
2008
Lyapunov-Razumikhin method for differential equations with piecewise constant argument. Zbl 1179.34077
Akhmet, Marat; Aruğaslan, Duygu
21
2009
Devaney’s chaos of a relay system. Zbl 1221.37030
Akhmet, M. U.
18
2009
Periodic and almost periodic solutions of strongly nonlinear impulsive systems. Zbl 0791.34034
Akhmetov, M. U.; Perestyuk, N. A.
18
1992
Unpredictable points and chaos. Zbl 1510.37027
Akhmet, Marat; Fen, Mehmet Onur
18
2016
Neural networks with discontinuous/impact activations. Zbl 1295.92007
Akhmet, Marat; Yılmaz, Enes
15
2014
Replication of chaos in neural networks, economics and physics. Zbl 1319.37017
Akhmet, Marat; Fen, Mehmet Onur
15
2016
Dynamical synthesis of quasi-minimal sets. Zbl 1176.34009
Akhmet, M. U.
15
2009
Chaotic period-doubling and OGY control for the forced Duffing equation. Zbl 1253.34048
Akhmet, M. U.; Fen, M. O.
15
2012
Bifurcation of a non-smooth planar limit cycle from a vertex. Zbl 1239.34035
Akhmet, Marat U.; Aruğaslan, Duygu
15
2009
The control of boundary value problems for quasilinear impulsive integro-differential equations. Zbl 0992.93041
Akhmetov, M. U.; Zafer, A.; Sejilova, R. D.
14
2002
Replication of chaos. Zbl 1306.34067
Akhmet, M. U.; Fen, M. O.
13
2013
A comparison method for differential equations with impulse actions. Zbl 0726.34010
Akhmetov, M. U.; Perestyuk, N. A.
13
1990
Poincaré chaos and unpredictable functions. Zbl 1510.37059
Akhmet, Marat; Fen, Mehmet Onur
13
2017
Differential equations on variable time scales. Zbl 1170.34010
Akhmet, M. U.; Turan, M.
13
2009
Differential equations with state-dependent piecewise constant argument. Zbl 1195.34103
Akhmet, M. U.; Büyükadalı, C.
13
2010
Asymptotic behavior of solutions of differential equations with piecewise constant arguments. Zbl 1152.34348
Akhmet, M. U.
12
2008
On the integral manifolds of the differential equation with piecewise constant argument of generalized type. Zbl 1133.34040
Akhmet, Marat
12
2006
Method of Lyapunov functions for differential equations with piecewise constant delay. Zbl 1226.34070
Akhmet, M. U.; Aruğaslan, D.; Yılmaz, E.
11
2011
Almost periodicity, chaos, and asymptotic equivalence. Zbl 1508.34002
Akhmet, Marat
11
2020
Asymptotic equivalence of differential equations and asymptotically almost periodic solutions. Zbl 1189.34084
Akhmet, M. U.; Tleubergenova, M. A.; Zafer, A.
11
2007
An improved method for analytical modelling and anticipation of gene expression patterns. Zbl 1071.92019
Akhmet, M. U.; Öktem, Hakan; Weber, G.-W.; Gebert, J.; Pickl, S. W.
10
2005
Entrainment by chaos. Zbl 1323.34061
Akhmet, M. U.; Fen, M. O.
9
2014
The control of the boundary value problem for linear impulsive integro-differential systems. Zbl 0943.93007
Akhmetov, M.; Sejilova, R.
9
1999
Successive approximation method for quasilinear impulsive differential equations with control. Zbl 1125.93349
Akhmetov, M. U.; Zafer, A.
9
2000
The principles of \(B\)-smooth discontinuous flows. Zbl 1093.37004
Akalin, E.; Akhmet, M. U.
9
2005
Shunting inhibitory cellular neural networks with chaotic external inputs. Zbl 1331.92012
Akhmet, M. U.; Fen, M. O.
8
2013
Global exponential stability of neural networks with non-smooth and impact activations. Zbl 1258.34157
Akhmet, M. U.; Yılmaz, E.
8
2012
Differential properties of solutions and integral surfaces for nonlinear impulse systems. Zbl 0799.34007
Akhmetov, M. U.; Perestyuk, N. A.
8
1992
Non-autonomous equations with unpredictable solutions. Zbl 1510.34088
Akhmet, Marat; Fen, Mehmet Onur
8
2018
Periodic solutions of the hybrid system with small parameter. Zbl 1170.34049
Akhmet, M. U.; Büyükadalı, C.; Ergenç, T.
8
2008
Creating a chaos in a system with delay. Zbl 1263.34060
Akhmet, M. U.
7
2009
Bifurcation in autonomous and nonautonomous differential equations with discontinuities. Zbl 1390.34003
Akhmet, Marat; Kashkynbayev, Ardak
7
2017
Control and optimal response problems for quasilinear impulsive integrodifferential equations. Zbl 1259.49037
Akhmet, M. U.; Kirane, M.; Tleubergenova, M. A.; Weber, G. W.
7
2006
Periodic and almost periodic solutions of systems with impulse perturbations. Zbl 0545.34030
Akhmetov, M. U.; Perestyuk, N. A.
7
1983
On the smoothness of solutions of impulsive autonomous systems. Zbl 1067.34006
Akhmet, M. U.
7
2005
On periodic solutions of differential equations with piecewise constant argument. Zbl 1165.34348
Akhmet, M. U.; Büyükadalı, C.
7
2008
On periodic solutions of linear impulsive delay differential systems. Zbl 1171.34340
Akhmet, M. U.; Alzabut, J. O.; Zafer, A.
7
2008
Non-autonomous bifurcation in impulsive systems. Zbl 1340.34139
Akhmet, Marat; Kashkynbayev, Ardak
6
2013
Homoclinical structure of the chaotic attractor. Zbl 1221.34124
Akhmet, M. U.
6
2010
Homoclinic and heteroclinic motions in economic models with exogenous shocks. Zbl 1376.91112
Akhmet, Marat; Onur Fen, Mehmet
6
2016
Nonautonomous transcritical and pitchfork bifurcations in impulsive systems. Zbl 1299.34143
Akhmet, M. U.; Kashkynbayev, A.
6
2013
Boundary value problems for higher order linear impulsive differential equations. Zbl 1099.34030
Uğur, Ö.; Akhmet, M. U.
6
2006
Stability of periodic solutions of differential equations with impulse action on surfaces. Zbl 0698.34033
Akhmetov, M. U.; Perestyuk, N. A.
6
1989
Almost-periodic solutions of nonlinear impulse systems. Zbl 0693.34054
Akhmetov, M. U.; Perestyuk, N. A.
6
1989
Differentiable dependence of the solutions of impulse systems on initial data. Zbl 0694.34003
Akhmetov, M. U.; Perestyuk, N. A.
6
1989
Discontinuous dynamics with grazing points. Zbl 1471.34040
Akhmet, M. U.; Kıvılcım, A.
6
2016
Van der Pol oscillators generated from grazing dynamics. Zbl 1400.34050
Akhmet, M. U.; Kıvılcım, A.
5
2018
Existence of unpredictable solutions and chaos. Zbl 1424.37021
Akhmet, Marat; Fen, Mehmet Onur
5
2017
Hopfield-type neural networks systems with piecewise constant argument. Zbl 1263.34019
Akhmet, M. U.; Yilmaz, E.
5
2009
Quasilinear retarded differential equations with functional dependence on piecewise constant argument. Zbl 1285.34059
Akhmet, Marat U.
5
2014
Dynamics with chaos and fractals. Zbl 1439.37001
Akhmet, Marat; Fen, Mehmet Onur; Alejaily, Ejaily Milad
5
2020
The controllability of boundary-value problems for quasilinear impulsive systems. Zbl 0965.93014
Akhmetov, M. U.; Zafer, A.
5
1998
Controllability of the Vallée-Poussin problem for impulsive differential systems. Zbl 0941.93004
Akhmetov, M. U.; Zafer, A.
5
1999
Asymptotic behavior of linear impulsive integro-differential equations. Zbl 1155.45301
Akhmet, M. U.; Tleubergenova, M. A.; Yılmaz, O.
5
2008
Shadowing and dynamical synthesis. Zbl 1182.34009
Akhmet, M. U.
5
2009
Stability in non-autonomous periodic systems with grazing stationary impacts. Zbl 1399.34044
Akhmet, Marat; Kivilcim, Aysegul
4
2017
Poincaré chaos for a hyperbolic quasilinear system. Zbl 1438.34136
Akhmet, M.; Fen, M. O.; Tleubergenova, M.; Zhamanshin, A.
4
2019
Chaotification of impulsive systems by perturbations. Zbl 1296.34108
Akhmet, Marat; Fen, Mehmet Onur
4
2014
Exponentially dichotomous linear systems of differential equations with piecewise constant argument. Zbl 1300.34150
Akhmet, M.
4
2012
Control of a linear pulse systems. Zbl 0938.34059
Akhmetov, M. U.; Perestyuk, N. A.; Tleubergenova, M. A.
4
1995
On the comparison method for differential equations with impulse action. Zbl 0712.34013
Akhmetov, M. U.; Perestyuk, N. A.
4
1990
Regular and irregular discontinuous dynamics of the systemic arterial pressure. Zbl 1081.92011
Akhmet, M. U.; Bekmukhambetova, G. A.; Serinağaoğlu, Y.
4
2005
The complex dynamics of the cardiovascular system. Zbl 1238.76078
Akhmet, M. U.
4
2009
Permanence of autonomous ratio-dependent predator-prey systems with piecewise constant argument of generalized type. Zbl 1165.34046
Akhmet, M. U.; Aruğaslan, D.; Liu, X.
4
2008
Shunting inhibitory cellular neural networks with strongly unpredictable oscillations. Zbl 1454.34079
Akhmet, Marat; Seilova, Roza; Tleubergenova, Madina; Zhamanshin, Akylbek
4
2020
Exponential stability of periodic solutions of recurrent neural networks with functional dependence on piecewise constant argument. Zbl 1438.34238
Akhmet, Marat; Aruğaslan Çinçin, Duygu; Cengiz, Nur
3
2018
Li-Yorke chaos in hybrid systems on a time scale. Zbl 1334.37028
Akhmet, Marat; Fen, Mehmet Onur
3
2015
Analysis of biological integrate-and-fire oscillators. Zbl 1228.92006
Akhmet, Marat
3
2011
Unpredictable solutions of linear differential and discrete equations. Zbl 1440.34041
Akhmet, Marat; Fen, Mehmet Onur; Tleubergenova, Madina; Zhamanshin, Akylbek
3
2019
Domain-structured chaos in a Hopfield neural network. Zbl 1429.37021
Akhmet, Marat; Alejaily, Ejaily Milad
3
2019
Finite-time nonautonomous bifurcation in impulsive systems. Zbl 1389.34115
Akhmet, Marat; Kashkynbayev, Ardak
3
2016
Existence and stability of almost-periodic solutions of quasi-linear differential equations with deviating argument. Zbl 1082.34538
Akhmet, M. U.
3
2004
Domain structured dynamics. Unpredictability, chaos, randomness, fractals, differential equations and neural networks. Zbl 1511.37001
Akhmet, Marat
3
2021
On the smoothness of solutions of differential equations with a discontinuous right-hand side. Zbl 0813.34013
Akhmetov, M. U.
3
1993
Asymptotic representation of solutions of regularly perturbed systems of differential equations with nonclassical right-hand side. Zbl 0786.34004
Akhmetov, M. U.; Perestyuk, N. A.
3
1991
Quasilinear differential equations with strongly unpredictable solutions. Zbl 1488.34084
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek
3
2020
Almost-periodic solutions of impulse systems. Zbl 0654.34033
Perestyuk, N. A.; Akhmetov, M. U.
3
1987
A prototype compartmental model of blood pressure distribution. Zbl 1204.34060
Akhmet, M. U.; Bekmukhambetova, G. A.
3
2010
Bifurcation of three-dimensional discontinuous cycles. Zbl 1239.34011
Akhmet, Marat U.; Turan, Mehmet
3
2009
A singularly perturbed differential equation with piecewise constant argument of generalized type. Zbl 1424.34258
Akhmet, Marat; Dauylbaev, Murathan; Mirzakulova, Aziza
2
2018
Self-synchronization of the integrate-and-fire pacemaker model with continuous couplings. Zbl 1235.93029
Akhmet, M. U.
2
2012
Non-autonomous grazing phenomenon. Zbl 1384.34060
Akhmet, Marat; Kıvılcım, Ayşegül
2
2017
Synchronization of the cardiac pacemaker model with delayed pulse-coupling. Zbl 1300.34163
Akhmet, M.
2
2014
Extension of spatiotemporal chaos in glow discharge-semiconductor systems. Zbl 1361.37073
Akhmet, Marat; Rafatov, Ismail; Fen, Mehmet Onur
2
2014
Global attractivity in impulsive neural networks with piecewise constant delay. Zbl 1221.92004
Akhmet, M. U.; Yilmaz, E.
2
2010
Domain structured dynamics. Unpredictability, chaos, randomness, fractals, differential equations and neural networks. Zbl 1511.37001
Akhmet, Marat
3
2021
Modulo and factor periodic Poisson stable functions. Zbl 1513.37013
Akhmet, M.; Tleubergenova, M.; Zhamanshin, A.
2
2021
Abstract similarity, fractals and chaos. Zbl 1468.28003
Akhmet, Marat; Alejaily, Ejaily Milad
2
2021
Almost periodicity, chaos, and asymptotic equivalence. Zbl 1508.34002
Akhmet, Marat
11
2020
Dynamics with chaos and fractals. Zbl 1439.37001
Akhmet, Marat; Fen, Mehmet Onur; Alejaily, Ejaily Milad
5
2020
Shunting inhibitory cellular neural networks with strongly unpredictable oscillations. Zbl 1454.34079
Akhmet, Marat; Seilova, Roza; Tleubergenova, Madina; Zhamanshin, Akylbek
4
2020
Quasilinear differential equations with strongly unpredictable solutions. Zbl 1488.34084
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek
3
2020
Nonautonomous bifurcations in nonlinear impulsive systems. Zbl 1441.34030
Akhmet, Marat; Kashkynbayev, Ardak
2
2020
Unpredictable strings. Zbl 1488.65729
Akhmet, M.; Tola, A.
1
2020
Poincaré chaos for a hyperbolic quasilinear system. Zbl 1438.34136
Akhmet, M.; Fen, M. O.; Tleubergenova, M.; Zhamanshin, A.
4
2019
Unpredictable solutions of linear differential and discrete equations. Zbl 1440.34041
Akhmet, Marat; Fen, Mehmet Onur; Tleubergenova, Madina; Zhamanshin, Akylbek
3
2019
Domain-structured chaos in a Hopfield neural network. Zbl 1429.37021
Akhmet, Marat; Alejaily, Ejaily Milad
3
2019
Generation of fractals as Duffing equation orbits. Zbl 1415.37066
Akhmet, Marat; Fen, Mehmet Onur; Alejaily, Ejaily Milad
1
2019
Non-autonomous equations with unpredictable solutions. Zbl 1510.34088
Akhmet, Marat; Fen, Mehmet Onur
8
2018
Van der Pol oscillators generated from grazing dynamics. Zbl 1400.34050
Akhmet, M. U.; Kıvılcım, A.
5
2018
Exponential stability of periodic solutions of recurrent neural networks with functional dependence on piecewise constant argument. Zbl 1438.34238
Akhmet, Marat; Aruğaslan Çinçin, Duygu; Cengiz, Nur
3
2018
A singularly perturbed differential equation with piecewise constant argument of generalized type. Zbl 1424.34258
Akhmet, Marat; Dauylbaev, Murathan; Mirzakulova, Aziza
2
2018
Perturbed Li-Yorke homoclinic chaos. Zbl 1413.34157
Akhmet, Marat; Feckan, Michal; Mehmet, Onur Fen; Kashkynbayev, Ardak
2
2018
Grazing in impulsive differential equations. Zbl 1390.34038
Akhmet, Marat U.; Kıvılcım, A.
1
2018
Tikhonov theorem for differential equations with singular impulses. Zbl 1400.34023
Akhmet, M.; Çağ, S.
1
2018
Almost periodicity in chaos. Zbl 1403.37032
Akhmet, Marat; Fen, Mehmet Onur
1
2018
Poincaré chaos and unpredictable functions. Zbl 1510.37059
Akhmet, Marat; Fen, Mehmet Onur
13
2017
Bifurcation in autonomous and nonautonomous differential equations with discontinuities. Zbl 1390.34003
Akhmet, Marat; Kashkynbayev, Ardak
7
2017
Existence of unpredictable solutions and chaos. Zbl 1424.37021
Akhmet, Marat; Fen, Mehmet Onur
5
2017
Stability in non-autonomous periodic systems with grazing stationary impacts. Zbl 1399.34044
Akhmet, Marat; Kivilcim, Aysegul
4
2017
Non-autonomous grazing phenomenon. Zbl 1384.34060
Akhmet, Marat; Kıvılcım, Ayşegül
2
2017
Persistence of Li-Yorke chaos in systems with relay. Zbl 1413.35026
Akhmet, Marat; Fen, Mehmet Onur; Kashkynbayev, Ardak
1
2017
Periodic motions generated from non-autonomous grazing dynamics. Zbl 1510.34081
Akhmet, M. U.; Kıvılcım, A.
1
2017
Unpredictable points and chaos. Zbl 1510.37027
Akhmet, Marat; Fen, Mehmet Onur
18
2016
Replication of chaos in neural networks, economics and physics. Zbl 1319.37017
Akhmet, Marat; Fen, Mehmet Onur
15
2016
Homoclinic and heteroclinic motions in economic models with exogenous shocks. Zbl 1376.91112
Akhmet, Marat; Onur Fen, Mehmet
6
2016
Discontinuous dynamics with grazing points. Zbl 1471.34040
Akhmet, M. U.; Kıvılcım, A.
6
2016
Finite-time nonautonomous bifurcation in impulsive systems. Zbl 1389.34115
Akhmet, Marat; Kashkynbayev, Ardak
3
2016
Impulsive SICNNs with chaotic postsynaptic currents. Zbl 1351.34051
Fen, Mehmet Onur; Akhmet, Marat
1
2016
Analysis of impact chattering. Zbl 1399.70009
Akhmet, M.; Çağ, S.
1
2016
Li-Yorke chaos in hybrid systems on a time scale. Zbl 1334.37028
Akhmet, Marat; Fen, Mehmet Onur
3
2015
Extension of Lorenz unpredictability. Zbl 1326.34026
Akhmet, Marat; Fen, Mehmet Onur
1
2015
On chaotic synchronization via impulsive control and piecewise constant arguments. Zbl 1418.34107
Alwan, Mohamad S.; Liu, Xinzhi; Akhmet, Marat U.
1
2015
Neural networks with discontinuous/impact activations. Zbl 1295.92007
Akhmet, Marat; Yılmaz, Enes
15
2014
Entrainment by chaos. Zbl 1323.34061
Akhmet, M. U.; Fen, M. O.
9
2014
Quasilinear retarded differential equations with functional dependence on piecewise constant argument. Zbl 1285.34059
Akhmet, Marat U.
5
2014
Chaotification of impulsive systems by perturbations. Zbl 1296.34108
Akhmet, Marat; Fen, Mehmet Onur
4
2014
Synchronization of the cardiac pacemaker model with delayed pulse-coupling. Zbl 1300.34163
Akhmet, M.
2
2014
Extension of spatiotemporal chaos in glow discharge-semiconductor systems. Zbl 1361.37073
Akhmet, Marat; Rafatov, Ismail; Fen, Mehmet Onur
2
2014
A new method of chaos generation. Zbl 1294.34048
Akhmet, Marat; Fen, Mehmet Onur
2
2014
Bifurcation of discontinuous limit cycles of the Van der Pol equation. Zbl 1533.34032
Akhmet, Marat; Turan, Mehmet
2
2014
Replication of chaos. Zbl 1306.34067
Akhmet, M. U.; Fen, M. O.
13
2013
Shunting inhibitory cellular neural networks with chaotic external inputs. Zbl 1331.92012
Akhmet, M. U.; Fen, M. O.
8
2013
Non-autonomous bifurcation in impulsive systems. Zbl 1340.34139
Akhmet, Marat; Kashkynbayev, Ardak
6
2013
Nonautonomous transcritical and pitchfork bifurcations in impulsive systems. Zbl 1299.34143
Akhmet, M. U.; Kashkynbayev, A.
6
2013
Almost periodic solutions of second order neutral differential equations with functional response on piecewise constant argument. Zbl 1302.34106
Akhmet, M.
1
2013
Chaotic period-doubling and OGY control for the forced Duffing equation. Zbl 1253.34048
Akhmet, M. U.; Fen, M. O.
15
2012
Global exponential stability of neural networks with non-smooth and impact activations. Zbl 1258.34157
Akhmet, M. U.; Yılmaz, E.
8
2012
Exponentially dichotomous linear systems of differential equations with piecewise constant argument. Zbl 1300.34150
Akhmet, M.
4
2012
Self-synchronization of the integrate-and-fire pacemaker model with continuous couplings. Zbl 1235.93029
Akhmet, M. U.
2
2012
The period-doubling route to chaos in the relay system. Zbl 1332.37017
Akhmet, M. U.; Fen, M. O.
1
2012
Chaos generation in hyperbolic systems. Zbl 1444.37028
Akhmet, M. U.; Fen, M. O.
1
2012
Nonlinear hybrid continuous/discrete-time models. Zbl 1328.93001
Akhmet, Marat
53
2011
Method of Lyapunov functions for differential equations with piecewise constant delay. Zbl 1226.34070
Akhmet, M. U.; Aruğaslan, D.; Yılmaz, E.
11
2011
Analysis of biological integrate-and-fire oscillators. Zbl 1228.92006
Akhmet, Marat
3
2011
Principles of discontinuous dynamical systems. Zbl 1204.37002
Akhmet, Marat
113
2010
Stability in cellular neural networks with a piecewise constant argument. Zbl 1191.68484
Akhmet, M. U.; Aruğaslan, D.; Yılmaz, E.
35
2010
Impulsive Hopfield-type neural network system with piecewise constant argument. Zbl 1202.92001
Akhmet, M. U.; Yılmaz, E.
30
2010
Stability analysis of recurrent neural networks with piecewise constant argument of generalized type. Zbl 1400.34112
Akhmet, M. U.; Aruğaslan, D.; Yılmaz, E.
26
2010
Differential equations with state-dependent piecewise constant argument. Zbl 1195.34103
Akhmet, M. U.; Büyükadalı, C.
13
2010
Homoclinical structure of the chaotic attractor. Zbl 1221.34124
Akhmet, M. U.
6
2010
A prototype compartmental model of blood pressure distribution. Zbl 1204.34060
Akhmet, M. U.; Bekmukhambetova, G. A.
3
2010
Global attractivity in impulsive neural networks with piecewise constant delay. Zbl 1221.92004
Akhmet, M. U.; Yilmaz, E.
2
2010
Li-Yorke chaos in the system with impacts. Zbl 1153.37017
Akhmet, M. U.
21
2009
Lyapunov-Razumikhin method for differential equations with piecewise constant argument. Zbl 1179.34077
Akhmet, Marat; Aruğaslan, Duygu
21
2009
Devaney’s chaos of a relay system. Zbl 1221.37030
Akhmet, M. U.
18
2009
Dynamical synthesis of quasi-minimal sets. Zbl 1176.34009
Akhmet, M. U.
15
2009
Bifurcation of a non-smooth planar limit cycle from a vertex. Zbl 1239.34035
Akhmet, Marat U.; Aruğaslan, Duygu
15
2009
Differential equations on variable time scales. Zbl 1170.34010
Akhmet, M. U.; Turan, M.
13
2009
Creating a chaos in a system with delay. Zbl 1263.34060
Akhmet, M. U.
7
2009
Hopfield-type neural networks systems with piecewise constant argument. Zbl 1263.34019
Akhmet, M. U.; Yilmaz, E.
5
2009
Shadowing and dynamical synthesis. Zbl 1182.34009
Akhmet, M. U.
5
2009
The complex dynamics of the cardiovascular system. Zbl 1238.76078
Akhmet, M. U.
4
2009
Bifurcation of three-dimensional discontinuous cycles. Zbl 1239.34011
Akhmet, Marat U.; Turan, Mehmet
3
2009
Almost periodic solutions of the linear differential equation with piecewise constant argument. Zbl 1182.34093
Akhmet, M. U.
1
2009
Hopf bifurcation for a 3D Filippov system. Zbl 1194.34067
Akhmet, M. U.; Aruğaslan, D.; Turan, M.
1
2009
Stability of differential equations with piecewise constant arguments of generalized type. Zbl 1173.34042
Akhmet, M. U.
46
2008
Almost periodic solutions of differential equations with piecewise constant argument of generalized type. Zbl 1166.34039
Akhmet, M. U.
21
2008
Asymptotic behavior of solutions of differential equations with piecewise constant arguments. Zbl 1152.34348
Akhmet, M. U.
12
2008
Periodic solutions of the hybrid system with small parameter. Zbl 1170.34049
Akhmet, M. U.; Büyükadalı, C.; Ergenç, T.
8
2008
On periodic solutions of differential equations with piecewise constant argument. Zbl 1165.34348
Akhmet, M. U.; Büyükadalı, C.
7
2008
On periodic solutions of linear impulsive delay differential systems. Zbl 1171.34340
Akhmet, M. U.; Alzabut, J. O.; Zafer, A.
7
2008
Asymptotic behavior of linear impulsive integro-differential equations. Zbl 1155.45301
Akhmet, M. U.; Tleubergenova, M. A.; Yılmaz, O.
5
2008
Permanence of autonomous ratio-dependent predator-prey systems with piecewise constant argument of generalized type. Zbl 1165.34046
Akhmet, M. U.; Aruğaslan, D.; Liu, X.
4
2008
On modeling of blood pressure distribution. Zbl 1203.76181
Akhmet, Marat; Bekmukhambetova, Gul’baram
1
2008
Integral manifolds of differential equations with piecewise constant argument of generalized type. Zbl 1122.34054
Akhmet, M. U.
52
2007
On the reduction principle for differential equations with piecewise constant argument of generalized type. Zbl 1134.34048
Akhmet, M. U.
42
2007
Asymptotic equivalence of differential equations and asymptotically almost periodic solutions. Zbl 1189.34084
Akhmet, M. U.; Tleubergenova, M. A.; Zafer, A.
11
2007
Asymptotic equivalence of the quasilinear impulsive differential equation and the linear ordinary differential equation. Zbl 1164.34413
Akhmet, M. U.; Tleubergenova, M. A.
1
2007
An impulsive ratio-dependent predator-prey system with diffusion. Zbl 1114.35097
Akhmet, M. U.; Beklioglu, M.; Ergenc, T.; Tkachenko, V. I.
50
2006
The differential equations on time scales through impulsive differential equations. Zbl 1110.34006
Akhmet, M. U.; Turan, M.
25
2006
Perron’s theorem for linear impulsive differential equations with distributed delay. Zbl 1101.34065
Akhmet, M. U.; Alzabut, J.; Zafer, A.
21
2006
On the integral manifolds of the differential equation with piecewise constant argument of generalized type. Zbl 1133.34040
Akhmet, Marat
12
2006
Control and optimal response problems for quasilinear impulsive integrodifferential equations. Zbl 1259.49037
Akhmet, M. U.; Kirane, M.; Tleubergenova, M. A.; Weber, G. W.
7
2006
Boundary value problems for higher order linear impulsive differential equations. Zbl 1099.34030
Uğur, Ö.; Akhmet, M. U.
6
2006
...and 39 more Documents
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Cited by 721 Authors

84 Akhmet, Marat Ubaydulla
20 Fen, Mehmet Onur
17 Li, Chuandong
16 Chiu, Kuo-Shou
16 Pinto, Manuel
15 Wang, Jinrong
14 Assanova, Anar Turmaganbetkyzy
13 Agarwal, Ravi P.
13 O’Regan, Donal
12 Tkachenko, Victor Ivanovich
12 Wang, Qi
11 Tokmak Fen, Fatma
10 Alzabut, Jehad O.
10 Perestyuk, Mykola Oleksiĭovych
10 Stamov, Gani Trendafilov
10 Wang, Chao
10 Weber, Gerhard-Wilhelm
9 Fečkan, Michal
9 Huang, Tingwen
9 Liu, Zijian
9 Yılmaz, Enes
8 Kapustyan, Oleksiy V.
8 Liu, Mingzhu
8 Zafer, Ağacık
7 Liu, Xinzhi
7 Yaslan Karaca, Ilkay
7 Zhong, Shou-Ming
6 Aruğaslan, Duygu
6 Bakirova, Elmira A.
6 Kashkynbayev, Ardak
6 Luo, Albert C. J.
6 Stamova, Ivanka Milkova
5 Dashkovskiy, Sergey N.
5 Du, Zhengdong
5 Feketa, Petro V.
5 Gao, Jianfang
5 Kadirbayeva, Zhazira M.
5 Li, Xiaodi
5 Nieto Roig, Juan Jose
5 Rachůnková, Irena
5 Tomeček, Jan
5 Uğur, Ömür
5 Wu, Ailong
5 Zhou, Yong
4 Cao, Jinde
4 Chen, Lu
4 Dvornyk, A. V.
4 Ezzinbi, Khalil
4 He, Zhilong
4 Kivilcim, Ayşegül
4 Li, Biwen
4 Şaylı, Mustafa
4 Song, Qiankun
4 Teng, Zhi-dong
4 Turan, Mehmet
3 Alejaily, Ejaily Milad
3 Aruğaslan Çinçin, Duygu
3 Barreira, Luis Manuel
3 Büyükadalı, Cemil
3 Cao, Zhengran
3 Cengiz, Nur
3 Chen, Ling
3 Chen, Wuhua
3 Church, Kevin E. M.
3 Das, Ruchi
3 Ergören, Hilmi
3 Guo, Siyu
3 Kostić, Marko
3 Kropat, Erik
3 Lan, Hengyou
3 Li, Bing
3 Li, Hongfei
3 Li, Kelin
3 Li, Xiaoyue
3 Li, Yongkun
3 Liang, Hui
3 Liu, Gui Rong
3 Liu, Xing
3 Myslo, Yu. M.
3 Robledo, Gonzalo
3 Rodríguez-López, Rosana
3 Romaniuk, Iryna V.
3 Salman, Sanaa Moussa
3 Song, Minghui
3 Sugie, Jitsuro
3 Thakur, Rahul
3 Tleubergenova, Madina
3 Tleulessova, Agila B.
3 Valls Anglés, Cláudia
3 Wang, Qi
3 Wang, Xiaoming
3 Xi, Qiang
3 Xia, Yonghui
3 Xie, Tao
3 Xu, Daoyi
3 Yang, Dan
3 Yang, Xujun
3 Yu, Hengguo
3 Zeng, Zhigang
3 Zhamanshin, Akylbek
...and 621 more Authors
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Cited in 156 Serials

28 Communications in Nonlinear Science and Numerical Simulation
27 Applied Mathematics and Computation
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 Advances in Difference Equations
20 Chaos, Solitons and Fractals
19 Journal of Mathematical Analysis and Applications
18 Ukrainian Mathematical Journal
18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
16 Nonlinear Analysis. Hybrid Systems
13 Abstract and Applied Analysis
12 Neural Networks
11 Discrete Dynamics in Nature and Society
11 Nonlinear Analysis. Real World Applications
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9 Nonlinear Dynamics
9 Lobachevskii Journal of Mathematics
8 Journal of the Franklin Institute
8 Journal of Computational and Applied Mathematics
8 Acta Applicandae Mathematicae
7 Computers & Mathematics with Applications
7 Applied Mathematical Modelling
7 Journal of Mathematical Sciences (New York)
7 Chaos
7 Qualitative Theory of Dynamical Systems
6 Journal of Differential Equations
6 Turkish Journal of Mathematics
6 Journal of Difference Equations and Applications
6 Mathematical Problems in Engineering
6 Journal of Applied Mathematics and Computing
5 Mathematics and Computers in Simulation
5 Applied Mathematics Letters
5 International Journal of Robust and Nonlinear Control
5 Boundary Value Problems
4 Mathematica Slovaca
4 Acta Mathematicae Applicatae Sinica. English Series
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4 Discrete and Continuous Dynamical Systems. Series B
4 Mediterranean Journal of Mathematics
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3 Automatica
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3 Hacettepe Journal of Mathematics and Statistics
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Cited in 34 Fields

418 Ordinary differential equations (34-XX)
131 Biology and other natural sciences (92-XX)
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42 Numerical analysis (65-XX)
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