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Glyzin, Sergeĭ D.

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Author ID: glyzin.sergei-d Recent zbMATH articles by "Glyzin, Sergeĭ D."
Published as: Glyzin, S.; Glyzin, S. D.; Glyzin, Sergey D.; Glyzin, Sergeĭ D.
Documents Indexed: 63 Publications since 1988

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 102 times in 51 Documents Cited by Year
Self-excited relaxation oscillations in networks of impulse neurons. Zbl 1361.34093
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
8
2015
Relaxation self-oscillations in Hopfield networks with delay. Zbl 1271.34074
Glyzin, S. D.; Kolesov, A. Yu; Rozov, N. Kh
8
2013
On a method for mathematical modeling of chemical synapses. Zbl 1396.34025
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
7
2013
Relaxation self-oscillations in neuron systems. I. Zbl 1276.34068
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
7
2011
Periodic traveling-wave-type solutions in circular chains of unidirectionally coupled equations. Zbl 1364.34058
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
6
2013
The annulus principle in the existence problem for a hyperbolic strange attractor. Zbl 1376.37077
Glyzin, Sergey D.; Kolesov, Andrei Yu.; Rozov, Nikolai Kh.
5
2016
Finite-dimensional models of diffusion chaos. Zbl 1224.35198
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
5
2010
Hyperbolic annulus principle. Zbl 1367.37030
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
4
2017
The buffer phenomenon in ring-like chains of unidirectionally connected generators. Zbl 1378.34055
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
4
2014
Stable relaxation cycle in a bilocal neuron model. Zbl 1459.34158
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2018
On a version of the hyperbolic annulus principle. Zbl 1403.37030
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2018
Discrete autowaves in neural systems. Zbl 1267.92024
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2012
Extremal dynamics of the generalized Hutchinson equation. Zbl 1224.34269
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2009
The question of the realizability of the Landau scenario for the development of turbulence. Zbl 1278.76033
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2009
Blue sky catastrophe in relaxation systems with one fast and two slow variables. Zbl 1211.37065
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2008
The dynamic renormalization method for finding the maximum Lyapunov exponent of a chaotic attractor. Zbl 1081.65118
Glyzin, D. S.; Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2005
Numerical substantiation of the Landau-Kolesov hypothesis on the nature of turbulence. Zbl 0719.76039
Glyzin, S. D.
3
1989
Relaxation self-oscillations in neuron systems. II. Zbl 1276.34069
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
2
2011
On the limit values of Mel’nikov functions on periodic orbits. Zbl 1134.34027
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
2
2007
Dynamical properties of the simplest finite-difference approximations of the “reaction-diffusion” boundary value problem. Zbl 0912.35083
Glyzin, S. D.
2
1997
Hyperbolic attractors of diffeomorphisms of Euclidean space. Zbl 1421.37015
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2019
An approach to modeling artificial gene networks. Zbl 1400.92185
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2018
Quasi-stable structures in circular gene networks. Zbl 1398.34066
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2018
Two-frequency self-oscillations in a FitzHugh-Nagumo neural network. Zbl 1397.34080
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2017
Existence and stability of the relaxation cycle in a mathematical repressilator model. Zbl 1365.92027
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2017
Parametric resonance in the logistic equation with delay under a two-frequency perturbation. Zbl 1364.34111
Bykova, N. D.; Glyzin, S. D.; Kaschenko, S. A.
1
2016
Buffering in cyclic gene networks. Zbl 1345.92058
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2016
Self-sustained relaxation oscillations in time-delay neural systems. Zbl 1344.34050
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2016
Blue sky catastrophe as applied to modeling of cardiac rhythms. Zbl 1328.92012
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2015
Autowave processes in continual chains of unidirectionally coupled oscillators. Zbl 1320.35197
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. K.
1
2014
The theory of nonclassical relaxation oscillations in singularly perturbed delay systems. Zbl 1300.34167
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2014
Modeling the bursting effect in neuron systems. Zbl 1280.34082
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2013
Buffer phenomenon in neurodynamics. Zbl 1276.34071
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2012
Relaxation self-oscillations in neuron systems. III. Zbl 1276.34070
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2012
Relaxation oscillations and diffusion chaos in the Belousov reaction. Zbl 1247.92069
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2011
Separation of motions in a neighborhood of a semistable cycle. Zbl 1157.34031
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2007
The mechanism of hard excitation of self-oscillations in the case of the resonance 1:2. Zbl 1108.34036
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2005
Chaotic buffering property in chains of coupled oscillators. Zbl 1089.35068
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2005
Hyperbolic attractors of diffeomorphisms of Euclidean space. Zbl 1421.37015
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2019
Stable relaxation cycle in a bilocal neuron model. Zbl 1459.34158
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2018
On a version of the hyperbolic annulus principle. Zbl 1403.37030
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2018
An approach to modeling artificial gene networks. Zbl 1400.92185
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2018
Quasi-stable structures in circular gene networks. Zbl 1398.34066
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2018
Hyperbolic annulus principle. Zbl 1367.37030
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
4
2017
Two-frequency self-oscillations in a FitzHugh-Nagumo neural network. Zbl 1397.34080
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2017
Existence and stability of the relaxation cycle in a mathematical repressilator model. Zbl 1365.92027
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2017
The annulus principle in the existence problem for a hyperbolic strange attractor. Zbl 1376.37077
Glyzin, Sergey D.; Kolesov, Andrei Yu.; Rozov, Nikolai Kh.
5
2016
Parametric resonance in the logistic equation with delay under a two-frequency perturbation. Zbl 1364.34111
Bykova, N. D.; Glyzin, S. D.; Kaschenko, S. A.
1
2016
Buffering in cyclic gene networks. Zbl 1345.92058
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2016
Self-sustained relaxation oscillations in time-delay neural systems. Zbl 1344.34050
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2016
Self-excited relaxation oscillations in networks of impulse neurons. Zbl 1361.34093
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
8
2015
Blue sky catastrophe as applied to modeling of cardiac rhythms. Zbl 1328.92012
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2015
The buffer phenomenon in ring-like chains of unidirectionally connected generators. Zbl 1378.34055
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
4
2014
Autowave processes in continual chains of unidirectionally coupled oscillators. Zbl 1320.35197
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. K.
1
2014
The theory of nonclassical relaxation oscillations in singularly perturbed delay systems. Zbl 1300.34167
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2014
Relaxation self-oscillations in Hopfield networks with delay. Zbl 1271.34074
Glyzin, S. D.; Kolesov, A. Yu; Rozov, N. Kh
8
2013
On a method for mathematical modeling of chemical synapses. Zbl 1396.34025
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
7
2013
Periodic traveling-wave-type solutions in circular chains of unidirectionally coupled equations. Zbl 1364.34058
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
6
2013
Modeling the bursting effect in neuron systems. Zbl 1280.34082
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2013
Discrete autowaves in neural systems. Zbl 1267.92024
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2012
Buffer phenomenon in neurodynamics. Zbl 1276.34071
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2012
Relaxation self-oscillations in neuron systems. III. Zbl 1276.34070
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2012
Relaxation self-oscillations in neuron systems. I. Zbl 1276.34068
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
7
2011
Relaxation self-oscillations in neuron systems. II. Zbl 1276.34069
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
2
2011
Relaxation oscillations and diffusion chaos in the Belousov reaction. Zbl 1247.92069
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2011
Finite-dimensional models of diffusion chaos. Zbl 1224.35198
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
5
2010
Extremal dynamics of the generalized Hutchinson equation. Zbl 1224.34269
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2009
The question of the realizability of the Landau scenario for the development of turbulence. Zbl 1278.76033
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2009
Blue sky catastrophe in relaxation systems with one fast and two slow variables. Zbl 1211.37065
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2008
On the limit values of Mel’nikov functions on periodic orbits. Zbl 1134.34027
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
2
2007
Separation of motions in a neighborhood of a semistable cycle. Zbl 1157.34031
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2007
The dynamic renormalization method for finding the maximum Lyapunov exponent of a chaotic attractor. Zbl 1081.65118
Glyzin, D. S.; Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
3
2005
The mechanism of hard excitation of self-oscillations in the case of the resonance 1:2. Zbl 1108.34036
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2005
Chaotic buffering property in chains of coupled oscillators. Zbl 1089.35068
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.
1
2005
Dynamical properties of the simplest finite-difference approximations of the “reaction-diffusion” boundary value problem. Zbl 0912.35083
Glyzin, S. D.
2
1997
Numerical substantiation of the Landau-Kolesov hypothesis on the nature of turbulence. Zbl 0719.76039
Glyzin, S. D.
3
1989

Citations by Year