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