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Stability in the Whole and Bifurcations of Invariant Measures
in Discrete-time Cocycles
Generated by a Cardiac Conduction System
Differential equations and control
processes, No. 3, 2014. (Russian)
English transl.: Global Stability and Bifurcations of Invariant Measures
for the Discrete Cocycles
Generated of the Equations of the Cardiac
Conduction System's Equations
Differential Equations, Vol. 50 (13), 1718 - 1732, 2014.
(Co-author: A. Maltseva) |
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Stability analysis for Maxwell's equation with a thermal effect
in one space dimension.
Journal of Mathematical Sciences, Vol. 201 (6), 805 - 817, 2014.
Contemporary Mathematics. Fundamental Directions (CMFD),
Vol. 46, pp. 129 - 140, 2012.
(Co-author: N.Y. Yumaguzin) |
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Frequency domain conditions for finite-dimensional Projectors and
determining observations for the set of amenable solutions
Discrete and Continuous Dynamical Systems, Vol. 34 (1), 249 - 267, 2014.
(Co-author: S. Popov) |
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Algebraic Approximation of Attractors of Dynamical Systems on Manifolds
Differential Equations, Vol. 49 (13), 1704 - 1728,
Pleiades Publishing, Ltd., 2013.
(Co-authors: A.E. Malykh, G.S. Rozhkov) |
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Frequency Domain Conditions for the Existence of Finite-dimensional
Projectors and Determining Observations of Attractors
Differential equations and control processes, No. 1, 2013.
(Co-author: S. Popov) |
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Asymptotic behavior of solutions to a coupled system of Maxwell's
equations and a controlled differential inclusion
Discrete and Continuous Dynamical Systems,
Supplements (DCDS),
pp. 407 - 414, 2013.
(Co-authors: D.Yu.Kalinichenko, S.N. Skopinov) |
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Almost Periodic Solutions in Control Systems with
Monotone Nonlinearities
Differential equations and control processes, No. 4, 2012.
(Co-author: Yu.Kalinin) |
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Asymptotic behavior of solutions to a coupled system of Maxwell's
equations and a controlled differential inclusion
Contemporary Mathematics. Fundamental Directions (CMFD),
Vol. 46, pp. 129 - 140, 2012 (Russian)
(Co-author: N. Yumaguzin) |
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Determining Functionals for the Microwave Heating System.
Vestnik, St. Petersburg University. Mathematics,
Vol. 45, No 4, 153-156.
(c) Alerton Press, Inc., 2012.
Vestnik, Ser.1, Mathematics.Mechanics.Astronomy,
Issue 4, pp. 13-17, 2012. (Russian)
(Co-author: I.V. Ermakov) |
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Asymptotic Behavior of Solutions of a Two Phase Problem
of Microwave Heating in the One Dimensional Case.
Vestnik, St. Petersburg University. Mathematics,
Vol. 45, No 3, 141-144.
(c) Alerton Press, Inc., 2012.
Vestnik, Ser.1, Mathematics.Mechanics.Astronomy,
Issue 3, pp. 59-62, 2012 (Russian)
(Co-author: N.Yu.Yumaguzin) |
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Stability and Bifurcations on a Finite Time Interval in
Variational Inequalities.
Differential Equations and Control Processes, No. 4, 2012. (Russian)
English transl.: Differential Equations, Vol. 48, No. 13, 1721 - 1732,
Pleiades Publishing, Ltd., 2012.
(Co-authors: D.Yu. Kalinichenko, S.N. Skopinov) |
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Determining Modes and Almost Periodic Integrals for Cocycles.
Differential Equations, Vol. 47, No. 13, 1837 - 1852,
Pleiades Publishing, Ltd., 2011.
Differential Equations and Control Processes, No. 4, 2011. (Russian)
(Co-authors: I.V. Ermakov, Yu. Kalinin) |
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Asymptotic behavior of Maxwell's equation in one-space dimension
with
thermal effect.
In: Proc. of the 8th AIMS Conference on Dynamical Systems,
Differential Equations and Applications,
Dresden, Germany, 2010.
Discrete and Continuous Dynamical Systems - Supplement,
Vol. II, 754-762, 2011.
(Co-authors: Yu. Kalinin, N. Yumaguzin) |
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Lyapunov functions in Hausdorff dimension estimates of cocycle attractors.
In: Proc. of the 5th Intern.
Conf. on Physics and Control (PhysCon2011),
Leon, Spain, 2011.
(Co-authors: G.A. Leonov, A.S.Slepukhin) |
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Stability analysis for Maxwell's equation with a thermal effect
in one space dimension.
In: Proc. of the Sixth Intern. Conf. on Differential and
Functional Differential Equations,
Moscow, Russia, 2011.
(Co-author: N.Y.Yumaguzin) |
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Determining functionals for cocycles
and application
to the microwave heating problem.
In: Proc. of the Intern. Conf. Equadiff 2011,
Loughborough, UK, 2011.
(Co-author:
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On Upper Estimates for the Hausdorff Dimension of
Negatively Invariant Sets
of Local Cocycles.
Vestnik St. Petersburg University. Mathematics, 2011, Vol. 44,
No 4, 292-300. (c) Alerton Press, Inc., 2011.
Vestnik, Ser.1, Mathematics.Mechanics.Astronomy,
Issue 4, pp. 61-70, 2011 (Russian)
(Co-author: A.S. Slepukhin) |
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Upper Estimates for the Hausdorff Dimension Estimates of Negatively
Invariant
Sets of Local Cocycles.
Doklady Mathematics, Vol. 84, No 1, pp. 551 - 554,
Pleiades Publishing, Ltd., 2011.
(Co-authors: G.A. Leonov, A.S. Slepukhin) |
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Electromagnetic wave propagation in complex materials with
thermo-electric coupling.
First Interdisciplinary Workshop of the German-Russian,
Interdisciplinary Science Center (G-RISC), Berlin, 2010.
(Co-authors: I. Ermakov, Yu. Kalinin, N. Yumaguzin) |
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Absolute observation stability for evolutionary
variational inequalities.
In: World Scientific Publishing Co., Scientific Series on
Nonlinear Science, Series B, Vol.14, 2010.
(Co-author: G.A. Leonov) |
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Upper Hausdorff dimension estimates for the global attractors of
nonautonomous systems.
In: Proc. of the Intern. Conf. "Topology, Geometry, and Dynamics",
St. Petersburg, 60 - 63, 2010.
(Co-authors: G.A. Leonov, A.S. Slepukhin) |
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Realization theory methods for the stability investigation of nonlinear
infinite-dimensional input-output systems.
In: Proc. of the Intern. Conf. EQUADIFF 11,
Brno 2009, Mathematica Bohemica,
136 (2), 185 - 194, 2011. |
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Stratification of approximating surfaces for the Lorenz attractor.
In: Proc. of the 4th Intern. Sci. Conf.
on Physics and Control,
Catania, Italy, 2009.
(Co-authors: G.A. Leonov, A.E. Malykh) |
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Absolute observation stability for evolutionary variational inequalities.
In: Proc. of the
6th EUROMECH Conference ENOC 2008 ,
St. Petersburg, 2008.
(Co-author: G.A.Leonov) |
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On a generalization of Leonov's invariant cones method for boundary
control problems.
In: Proc. of the Intern. Conf. Equadiff 07, Wien, 2007. |
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Frequency domain conditions for the existence of Bohr almost periodic
solutions
in evolution equations.
In: Proc. of the 3rd IFAC Workshop "Periodic control systems",
St. Petersburg, 2007. |
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Zum Wirken Leonard Eulers in St. Petersburg aus der
Sicht der
Stabilitätstheorie
elastischer Systeme.
In: SITZUNGSBERICHTE DER LEIBNIZ-SOZIETÄT,
trafo Verlag Berlin,
Band 94, 33-41, 2007.
(Co-author: G.A.Leonov) |
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Estimation of dynamic buckling loads in approximate shell models via
frequency-domain methods.
3rd International Conference "Physics and Control" (PhysCon 2007),
September 3-7, 2007, Potsdam, Germany.
In: Proc. Intern. Conf. "Physics and Control",
Potsdam, 2007.
(Co-author: A. Burtseva) |
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Realization theory methods for the construction of positively
invariant sets.
3rd International Conference "Physics and Control" (PhysCon 2007),
September 3-7, 2007, Potsdam, Germany
In: Proc. Intern. Conf. "Physics and Control",
Potsdam, 2007.
(Co-author: N.V. Kuznetsov)
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Generic analytical embedding methods for nonstationary systems based on
control theory.
In: Proc. Intern. Conf. "Physics and Control", St. Petersburg, 425 -- 428, 2005.
(Co-author: H. Kantz) |
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Convergence in evolutionary variational inequalities with hysteresis nonlinearities.
In: Proc. EQUADIFF 11, Bratislava, 395-404, 2005.
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Stability investigation of Volterra integral equations by realization theory
and frequency-domain methods. Preprint-Series DFG-SPP 1114, Preprint 61, 2004.
(Co-author: H. Kantz)
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Frequency domain conditions for the existence of almost periodic solutions
in evolutionary variational inequalities. Stochastics and Dynamics, 4 (3), 483 -- 499, 2004.
Preprint-Series DFG-SPP 1114, Preprint 49, 2004.
(Co-author: H. Kantz) | |
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Wrinkling in Sheet Metal Spinning.
In: Nonlinear dynamics of production systems. Ed. G. Radons.
Weinheim : Wiley-VCH, S. 287 - 303, 2004.
(Co-authors: Kleiner, M., Göbel, R., Klimmek, C., B. Heller, Kantz, H.) |
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Observation stability of controlled evolutionary variational inequalities.
Preprint-Series DFG-SPP 1114, Preprint 21, 2003.
(Co-author: H. Kantz) | |
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Estimation of bifurcation parameters in dynamics of elastic-plastic systems
via time-series analysis of Lyapunov functionals.
In: Abstracts of German Open Conference on Probability and Statistics,
Magdeburg, 126 - 127, 2002. (Co-author: H. Kantz)
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Plastic wrinkling and flutter in sheet metal spinning.
In: Abstracts of EQUADIFF 10, Prag, 77, 2001.
(Co-author: H. Kantz)
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Hausdorff dimension bounds, homology group properties and the
global behaviour of flows on manifolds.
In: Proc. of the Third Intern. Conf. "Differential Equations and Applications".
St. Petersburg, 16-20, 2001.
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Dimension estimates for invariant sets of dynamical systems.
In: Fiedler, B. (Ed.): Ergodic Theory, Analysis and Efficient Simulation
of Dynamical Systems. Springer, Berlin, 585-616, 2001.
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Hausdorff dimension estimates by use of a tubular Carathéodory structure
and their application to stability theory.
Nonlinear Dynamics and Systems Theory, 1, 2, 169 - 192, 2001.
(Co-authors: K. Gelfert and G. A. Leonov)
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Asymptotic orbital stability conditions for flows by estimates of singular values
of the linearization. Nonlinear Analysis: Theory, Methods and Applications. 44, 1057-1085, 2001.
(Co-authors: G. A. Leonov and A. Noack)
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Hausdorff dimension estimates for invariant sets of piecewise smooth maps.
Zeitschr. f. Angew. Math. Mech. (ZAMM) 80, 9, 623-632, 2000.
(Co-author: U. Schnabel) | |
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Dimension and stability of sets embedded in normally hyperbolic invariant manifolds.
In: Proc. of Equadiff 99, World Scientific Publishing Co. Pte. Ltd. Singapore,
2, 1081 - 1083, 2000.
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