Edit Profile (opens in new tab) Chepyzhov, Vladimir V. Compute Distance To: Compute Author ID: chepyzhov.vladimir-v Published as: Chepyzhov, V. V.; Chepyzhov, Vladimir V.; Chepyzhov, Vladimir; Chepyzhov, V.; Chepyzhov, Vladimor V. more...less External Links: MGP · ORCID Documents Indexed: 99 Publications since 1986, including 1 Book 2 Contributions as Editor Co-Authors: 40 Co-Authors with 92 Joint Publications 1,800 Co-Co-Authors all top 5 Co-Authors 9 single-authored 53 Vishik, Marko Iosifovich 9 Pata, Vittorino 8 Goritskiĭ, Andreĭ Yur’evich 8 Zelik, Sergey V. 7 Chechkin, Gregory Aleksandrovich 6 Bekmaganbetov, Kuanysh Abdrakhmanovich 5 Ilyin, Alexei A. 5 Miranville, Alain M. 3 Conti, Monica C. 3 Smeets, Ben 3 Zigangirov, Kamil Sh. 2 Agranovich, Mikhail Semënovich 2 Babin, Anatoli V. 2 Demidov, Alexandre Sergeevich 2 Dubinskiĭ, Yuliĭ Andreevich 2 Efendiev, Messoud 2 Fursikov, Andreĭ Vladimirovich 2 Komech, Alexander Ilich 2 Kuksin, Sergeĭ B. 2 Maslov, Viktor Pavlovich 2 Popov, Sergei Albertovich 2 Shnirelman, Alexander I. 2 Shubin, Mikhail Aleksandrovich 2 Tikhomirov, Vladimir Mikhaĭlovich 2 Titi, Edriss Saleh 1 Eskin, Gregory 1 Gatti, Stefania 1 Grasselli, Maurizio 1 Johansson, Thomas 1 Kostianko, Anna 1 Krasnov, M. L. 1 Kuleshov, A. P. 1 Mainini, Edoardo 1 Makarenko, G. I. 1 Novikov, Sergeĭ Petrovich 1 Pankratov, Leonid S. 1 Temam, Roger Meyer 1 Volevich, Leonid Romanovich 1 Wendland, Wolfgang L. 1 Zigangirov, Dmitri K. all top 5 Serials 9 Sbornik: Mathematics 9 Doklady Mathematics 7 Discrete and Continuous Dynamical Systems 6 Russian Journal of Mathematical Physics 5 Mathematical Notes 5 Problems of Information Transmission 5 Russian Mathematical Surveys 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Comptes Rendus de l’Académie des Sciences. Série I 4 Discrete and Continuous Dynamical Systems. Series B 4 Communications on Pure and Applied Analysis 3 Topological Methods in Nonlinear Analysis 2 Applicable Analysis 2 Moscow University Mathematics Bulletin 2 Indiana University Mathematics Journal 2 Asymptotic Analysis 1 Communications on Pure and Applied Mathematics 1 IEEE Transactions on Information Theory 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Soviet Mathematics. Doklady 1 Physica D 1 Applied Mathematics Letters 1 Problemy Peredachi Informatsii 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Journal of Dynamics and Differential Equations 1 Tatra Mountains Mathematical Publications 1 Journal of Mathematical Sciences (New York) 1 Functional Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Mathematical Fluid Mechanics 1 Colloquium Publications. American Mathematical Society all top 5 Fields 85 Partial differential equations (35-XX) 49 Dynamical systems and ergodic theory (37-XX) 16 Fluid mechanics (76-XX) 12 Operator theory (47-XX) 9 Ordinary differential equations (34-XX) 8 Information and communication theory, circuits (94-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Integral equations (45-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 1,611 times in 938 Documents Cited by ▼ Year ▼ Attractors for equations of mathematical physics. Zbl 0986.35001Chepyzhov, V. V.; Vishik, M. I. 547 2002 Evolution equations and their trajectory attractors. Zbl 0896.35032Chepyzhov, Vladimir V.; Vishik, Mark I. 113 1997 Attractors of non-autonomous dynamical systems and their dimension. Zbl 0838.58021Chepyzhov, V. V.; Vishik, M. I. 111 1994 Trajectory and global attractors of the three-dimensional Navier-Stokes system. Zbl 1130.37404Vishik, M. I.; Chepyzhov, V. V. 61 2002 Averaging of 2D Navier-Stokes equations with singularly oscillating forces. Zbl 1170.35345Chepyzhov, V. V.; Pata, V.; Vishik, M. I. 34 2009 Trajectory attractors for reaction-diffusion systems. Zbl 0894.35010Chepyzhov, Vladimir V.; Vishik, Mark I. 34 1996 Averaging of trajectory attractors of evolution equations with rapidly oscillating terms. Zbl 1011.35104Vishik, M. I.; Chepyzhov, V. V. 33 2001 Some remarks on stability of semigroups arising from linear viscoelasticity. Zbl 1155.47041Chepyzhov, V. V.; Pata, V. 33 2006 On the convergence of solutions of the Leray-\(\alpha\) model to the trajectory attractor of the 3D Navier-Stokes system. Zbl 1146.35071Chepyzhov, Vladimir V.; Titi, Edriss S.; Vishik, Mark I. 32 2007 On the fractal dimension of invariant sets: Applications to Navier-Stokes equations. Zbl 1049.37047Chepyzhov, V. V.; Ilyin, A. A. 25 2004 A minimal approach to the theory of global attractors. Zbl 1278.37033Chepyzhov, Vladimir V.; Conti, Monica; Pata, Vittorino 25 2012 On non-autonomous sine-Gordon type equations with a simple global attractor and some averaging. Zbl 1067.35017Chepyzhov, V. V.; Vishik, M. I.; Wendland, W. L. 25 2005 A Hausdorff dimension estimate for kernel sections of non-autonomous evolution equations. Zbl 0819.35073Chepyzhov, V.; Vishik, Mark Iosifovich 24 1993 Strong trajectory attractors for dissipative Euler equations. Zbl 1230.35092Chepyzhov, V. V.; Vishik, M. I.; Zelik, S. V. 23 2011 Trajectory attractors for evolution equations. Zbl 0843.35038Chepyzhov, Vladimir V.; Vishik, Mark I. 22 1995 On convergence of trajectory attractors of the 3D Navier-Stokes-\(\alpha \) model as \(\alpha \) approaches 0. Zbl 1137.37037Vishik, M. I.; Titi, E. S.; Chepyzhov, V. V. 22 2007 Non-autonomous 2D Navier-Stokes system with singularly oscillating external force and its global attractor. Zbl 1132.35017Chepyzhov, V. V.; Vishik, M. I. 21 2007 Non-autonomous 2D Navier-Stokes system with a simple global attractor and some averaging problems. Zbl 1068.35089Chepyzhov, V. V.; Vishik, M. I. 20 2002 A note on the fractal dimension of attractors of dissipative dynamical systems. Zbl 1153.37438Chepyzhov, V. V.; Ilyin, A. A. 19 2001 Trajectory attractors of equations of mathematical physics. Zbl 1277.37102Vishik, M. I.; Chepyzhov, V. V. 19 2011 Strong trajectory attractor for a dissipative reaction-diffusion system. Zbl 1227.35084Vishik, M. I.; Zelik, S. V.; Chepyzhov, V. V. 19 2010 Stability of abstract linear semigroups arising from heat conduction with memory. Zbl 1141.35336Chepyzhov, Vladimir V.; Mainini, Edoardo; Pata, Vittorino 19 2006 Averaging of nonautonomous damped wave equations with singularly oscillating external forces. Zbl 1234.35146Chepyzhov, V. V.; Pata, V.; Vishik, M. I. 17 2008 On trajectory and global attractors for semilinear heat equations with fading memory. Zbl 1186.37092Chepyzhov, V. V.; Miranville, A. 16 2006 Hausdorff dimension estimation for attractors of nonautonomous dynamical systems in unbounded domains: An example. Zbl 1022.37048Chepyzhov, V. V.; Efendiev, M. A. 14 2000 A simple algorithm for fast correlation attacks on stream ciphers. Zbl 0999.94542Chepyzhov, Vladimor V.; Johansson, Thomas; Smeets, Ben 14 2001 Integral manifolds and attractors with exponential rate for nonautonomous hyperbolic equations with dissipation. Zbl 1200.35186Chepyzhov, V. V.; Goritsky, A. Yu.; Vishik, M. I. 14 2005 Non-autonomous evolutionary equations with translation-compact symbols and their attractors. Zbl 0837.35059Chepyzhov, Vladimir V.; Vishik, Mark I. 14 1995 Trajectory and global attractors for evolution equations with memory. Zbl 1082.35035Chepyzhov, V. V.; Gatti, S.; Grasselli, M.; Miranville, A.; Pata, V. 14 2006 Kolmogorov \(\varepsilon\)-entropy estimates for the uniform attractors of non-autonomous reaction-diffusion systems. Zbl 0915.35056Vishik, M. I.; Chepyzhov, V. V. 13 1998 Approximation of trajectories lying on a global attractor of a hyperbolic equation with an exterior force that oscillates rapidly over time. Zbl 1077.37048Vishik, M. I.; Chepyzhov, V. V. 12 2003 Trajectory attractors for dissipative 2D Euler and Navier-Stokes equations. Zbl 1180.35420Chepyzhov, V. V.; Vishik, M. I. 12 2008 Uniform attractors of dynamical processes and non-autonomous equations of mathematical physics. Zbl 1278.35024Chepyzhov, V. V. 11 2013 Regular attractors and nonautonomous perturbations of them. Zbl 1278.35027Vishik, Marko I.; Zelik, Sergey V.; Chepyzhov, Vladimir V. 11 2013 Nonautonomous evolution equations and their attractors. Zbl 0913.35055Chepyzhov, Vladimir V.; Vishik, Mark I. 10 1993 Trajectory attractor for reaction-diffusion system with diffusion coefficient vanishing in time. Zbl 1194.35072Chepyzhov, Vladimir V.; Vishik, Mark I. 10 2010 Trajectory attractors for the 2D Navier-Stokes system and some generalizations. Zbl 0894.35011Chepyzhov, Vladimir V.; Vishik, Mark I. 9 1996 Attractors of dissipative hyperbolic equations with singularly oscillating external forces. Zbl 1124.37046Vishik, M. I.; Chepyzhov, V. V. 9 2006 On a fast correlation attack on certain stream ciphers. Zbl 0766.94002Chepyzhov, Vladimir; Smeets, Ben 8 1991 The nonautonomous Ginzburg-Landau equation and its attractors. Zbl 1105.35121Vishik, M. I.; Chepyzhov, V. V. 7 2005 The dichotomy property of solutions of quasilinear equations in problems on inertial manifolds. Zbl 1104.34044Goritskij, A. Yu.; Chepyzhov, V. V. 7 2005 Infinite energy solutions for dissipative Euler equations in \(\mathbb{R}^2\). Zbl 1325.35137Chepyzhov, Vladimir; Zelik, Sergey 7 2015 Attractors of non-autonomous evolution equations with translation-compact symbols. Zbl 0836.35062Chepyzhov, V. V.; Vishik, M. I. 6 1995 Global integral manifolds with exponential tracking for nonautonomous equations. Zbl 0908.34044Chepyzhov, Vladimir V.; Goritsky, Andrei Yu. 6 1997 Trajectory and global attractors of dissipative hyperbolic equations with memory. Zbl 1210.35024Chepyzhov, V. V.; Miranville, A. 6 2005 Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations. Zbl 1411.35173Chepyzhov, Vladimir V.; Kostianko, Anna; Zelik, Sergey 6 2019 Averaging of trajectory attractors of evolution equations with rapidly oscillating coefficients. Zbl 1046.37046Chepyzhov, V. V.; Vishik, M. I. 5 2001 Unbounded attractors of evolution equations. Zbl 0768.58029Chepyzhov, V. V.; Goritskij, A. Yu. 5 1992 Attractors of periodic processes and estimates of their dimension. Zbl 0841.35016Vishik, M. I.; Chepyzhov, V. V. 5 1995 New lower bounds for the minimal distance of linear quasicyclic and almost linear cyclic codes. Zbl 0776.94019Chepyzhov, V. V. 5 1992 Averaging of equations of viscoelasticity with singularly oscillating external forces. Zbl 1403.35173Chepyzhov, Vladimir V.; Conti, Monica; Pata, Vittorino 5 2017 Homogenization of trajectory attractors of Ginzburg-Landau equations with randomly oscillating terms. Zbl 1404.35023Chechkin, Gregory A.; Chepyzhov, Vladimir V.; Pankratov, Leonid S. 4 2018 Vanishing viscosity limit for global attractors for the damped Navier-Stokes system with stress free boundary conditions. Zbl 1398.35145Chepyzhov, Vladimir; Ilyin, Alexei; Zelik, Sergey 4 2018 Attractors for nonautonomous Navier-Stokes system and other partial differential equations. Zbl 1141.76018Chepyzhov, Vladimir; Vishik, Mark 4 2008 Strong trajectory and global \(\mathbf{W^{1,p}}\)-attractors for the damped-driven Euler system in \(\mathbb R^2\). Zbl 1359.35013Zelik, Sergey; Ilyin, Alexei; Chepyzhov, Vladimir 4 2017 The global attractor of the nonautonomous \(2D\) Navier-Stokes system with singularly oscillating external force. Zbl 1166.35310Vishik, M. I.; Chepyzhov, V. V. 3 2007 Dimension estimates for attractors and for kernel sections of non-autonomous evolution equations. Zbl 0796.35065Chepyzhov, Vladimir V.; Vishik, Mark I. 3 1993 Totally dissipative dynamical processes and their uniform global attractors. Zbl 1334.34121Chepyzhov, Vladimir V.; Conti, Monica; Pata, Vittorino 3 2014 Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms. Zbl 1435.35072Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V. 3 2020 Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force. Zbl 1357.35045Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V.; Goritsky, Andrey Yu. 3 2017 Periodic processes and non-autonomous evolution equations with time- periodic terms. Zbl 0820.47073Chepyzhov, V. V.; Vishik, M. I. 2 1994 Attractors of nonautonomous dynamical systems and an estimation of their dimension. Zbl 0866.35022Vishik, M. I.; Chepyzhov, V. V. 2 1992 Trajectory attractors for non-autonomous dissipative 2d Euler equations. Zbl 1335.35012Chepyzhov, Vladimir 2 2015 Trajectory attractors of reaction-diffusion systems with small diffusion. Zbl 1178.35079Vishik, M. I.; Chepyzhov, V. V. 2 2009 Approximating the trajectory attractor of the 3D Navier-Stokes system using various \( \alpha\)-models of fluid dynamics. Zbl 1353.35223Chepyzhov, Vladimir V. 1 2016 On strong convergence of attractors of Navier-Stokes equations in the limit of vanishing viscosity. Zbl 1371.35197Ilyin, A. A.; Chepyzhov, V. V. 1 2017 Nonbinary convolutional coding in channels with jamming. Zbl 0901.94027Zigangirov, K. Sh.; Popov, S. A.; Chepyzhov, V. V. 1 1995 Perturbation of trajectory attractors for dissipative hyperbolic equations. Zbl 0938.35029Chepyzhov, Vladimir V.; Vishik, Mark I. 1 1999 Explicit construction of integral manifolds with exponential tracking. Zbl 1017.37042Chepyzhov, V. V.; Goritsky, A. Yu. 1 1999 Regular attractors of autonomous and nonautonomous dynamical systems. Zbl 1307.37012Zelik, S. V.; Chepyzhov, V. V. 1 2014 New lower bounds for minimum distance of linear quasi-cyclic and almost linear cyclic codes. Zbl 0783.94028Chepyzhov, V. V. 1 1992 Attractors for nonautonomous evolution equations with almost periodic symbols. Zbl 0770.35028Chepyzhov, Vladimir V.; Vishik, Mark I. 1 1993 Integral manifolds for the sine-Gordon equation and their averaging. Zbl 1219.35223Chepyzhov, Vladimir; Goritsky, Andrey 1 2006 Kolmogorov \(\varepsilon\)-entropy in the problems on global attractors for evolution equations of mathematical physics. Zbl 1072.37056Vishik, M. I.; Chepyzhov, V. V. 1 2003 Weak convergence of attractors of reaction-diffusion systems with randomly oscillating coefficients. Zbl 1411.35043Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V. 1 2019 Attractors of non-autonomous partial differential equation and their dimension. Zbl 0811.58040Vishik, Mark I.; Chepyzhov, Vladimir V. 1 1994 On unbounded invariant sets and attractors of some quasilinear equations and systems of parabolic type. Zbl 0662.35063Chepyzhov, V. V. 1 1987 Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms. Zbl 1435.35072Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V. 3 2020 Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations. Zbl 1411.35173Chepyzhov, Vladimir V.; Kostianko, Anna; Zelik, Sergey 6 2019 Weak convergence of attractors of reaction-diffusion systems with randomly oscillating coefficients. Zbl 1411.35043Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V. 1 2019 Homogenization of trajectory attractors of Ginzburg-Landau equations with randomly oscillating terms. Zbl 1404.35023Chechkin, Gregory A.; Chepyzhov, Vladimir V.; Pankratov, Leonid S. 4 2018 Vanishing viscosity limit for global attractors for the damped Navier-Stokes system with stress free boundary conditions. Zbl 1398.35145Chepyzhov, Vladimir; Ilyin, Alexei; Zelik, Sergey 4 2018 Averaging of equations of viscoelasticity with singularly oscillating external forces. Zbl 1403.35173Chepyzhov, Vladimir V.; Conti, Monica; Pata, Vittorino 5 2017 Strong trajectory and global \(\mathbf{W^{1,p}}\)-attractors for the damped-driven Euler system in \(\mathbb R^2\). Zbl 1359.35013Zelik, Sergey; Ilyin, Alexei; Chepyzhov, Vladimir 4 2017 Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force. Zbl 1357.35045Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V.; Goritsky, Andrey Yu. 3 2017 On strong convergence of attractors of Navier-Stokes equations in the limit of vanishing viscosity. Zbl 1371.35197Ilyin, A. A.; Chepyzhov, V. V. 1 2017 Approximating the trajectory attractor of the 3D Navier-Stokes system using various \( \alpha\)-models of fluid dynamics. Zbl 1353.35223Chepyzhov, Vladimir V. 1 2016 Infinite energy solutions for dissipative Euler equations in \(\mathbb{R}^2\). Zbl 1325.35137Chepyzhov, Vladimir; Zelik, Sergey 7 2015 Trajectory attractors for non-autonomous dissipative 2d Euler equations. Zbl 1335.35012Chepyzhov, Vladimir 2 2015 Totally dissipative dynamical processes and their uniform global attractors. Zbl 1334.34121Chepyzhov, Vladimir V.; Conti, Monica; Pata, Vittorino 3 2014 Regular attractors of autonomous and nonautonomous dynamical systems. Zbl 1307.37012Zelik, S. V.; Chepyzhov, V. V. 1 2014 Uniform attractors of dynamical processes and non-autonomous equations of mathematical physics. Zbl 1278.35024Chepyzhov, V. V. 11 2013 Regular attractors and nonautonomous perturbations of them. Zbl 1278.35027Vishik, Marko I.; Zelik, Sergey V.; Chepyzhov, Vladimir V. 11 2013 A minimal approach to the theory of global attractors. Zbl 1278.37033Chepyzhov, Vladimir V.; Conti, Monica; Pata, Vittorino 25 2012 Strong trajectory attractors for dissipative Euler equations. Zbl 1230.35092Chepyzhov, V. V.; Vishik, M. I.; Zelik, S. V. 23 2011 Trajectory attractors of equations of mathematical physics. Zbl 1277.37102Vishik, M. I.; Chepyzhov, V. V. 19 2011 Strong trajectory attractor for a dissipative reaction-diffusion system. Zbl 1227.35084Vishik, M. I.; Zelik, S. V.; Chepyzhov, V. V. 19 2010 Trajectory attractor for reaction-diffusion system with diffusion coefficient vanishing in time. Zbl 1194.35072Chepyzhov, Vladimir V.; Vishik, Mark I. 10 2010 Averaging of 2D Navier-Stokes equations with singularly oscillating forces. Zbl 1170.35345Chepyzhov, V. V.; Pata, V.; Vishik, M. I. 34 2009 Trajectory attractors of reaction-diffusion systems with small diffusion. Zbl 1178.35079Vishik, M. I.; Chepyzhov, V. V. 2 2009 Averaging of nonautonomous damped wave equations with singularly oscillating external forces. Zbl 1234.35146Chepyzhov, V. V.; Pata, V.; Vishik, M. I. 17 2008 Trajectory attractors for dissipative 2D Euler and Navier-Stokes equations. Zbl 1180.35420Chepyzhov, V. V.; Vishik, M. I. 12 2008 Attractors for nonautonomous Navier-Stokes system and other partial differential equations. Zbl 1141.76018Chepyzhov, Vladimir; Vishik, Mark 4 2008 On the convergence of solutions of the Leray-\(\alpha\) model to the trajectory attractor of the 3D Navier-Stokes system. Zbl 1146.35071Chepyzhov, Vladimir V.; Titi, Edriss S.; Vishik, Mark I. 32 2007 On convergence of trajectory attractors of the 3D Navier-Stokes-\(\alpha \) model as \(\alpha \) approaches 0. Zbl 1137.37037Vishik, M. I.; Titi, E. S.; Chepyzhov, V. V. 22 2007 Non-autonomous 2D Navier-Stokes system with singularly oscillating external force and its global attractor. Zbl 1132.35017Chepyzhov, V. V.; Vishik, M. I. 21 2007 The global attractor of the nonautonomous \(2D\) Navier-Stokes system with singularly oscillating external force. Zbl 1166.35310Vishik, M. I.; Chepyzhov, V. V. 3 2007 Some remarks on stability of semigroups arising from linear viscoelasticity. Zbl 1155.47041Chepyzhov, V. V.; Pata, V. 33 2006 Stability of abstract linear semigroups arising from heat conduction with memory. Zbl 1141.35336Chepyzhov, Vladimir V.; Mainini, Edoardo; Pata, Vittorino 19 2006 On trajectory and global attractors for semilinear heat equations with fading memory. Zbl 1186.37092Chepyzhov, V. V.; Miranville, A. 16 2006 Trajectory and global attractors for evolution equations with memory. Zbl 1082.35035Chepyzhov, V. V.; Gatti, S.; Grasselli, M.; Miranville, A.; Pata, V. 14 2006 Attractors of dissipative hyperbolic equations with singularly oscillating external forces. Zbl 1124.37046Vishik, M. I.; Chepyzhov, V. V. 9 2006 Integral manifolds for the sine-Gordon equation and their averaging. Zbl 1219.35223Chepyzhov, Vladimir; Goritsky, Andrey 1 2006 On non-autonomous sine-Gordon type equations with a simple global attractor and some averaging. Zbl 1067.35017Chepyzhov, V. V.; Vishik, M. I.; Wendland, W. L. 25 2005 Integral manifolds and attractors with exponential rate for nonautonomous hyperbolic equations with dissipation. Zbl 1200.35186Chepyzhov, V. V.; Goritsky, A. Yu.; Vishik, M. I. 14 2005 The nonautonomous Ginzburg-Landau equation and its attractors. Zbl 1105.35121Vishik, M. I.; Chepyzhov, V. V. 7 2005 The dichotomy property of solutions of quasilinear equations in problems on inertial manifolds. Zbl 1104.34044Goritskij, A. Yu.; Chepyzhov, V. V. 7 2005 Trajectory and global attractors of dissipative hyperbolic equations with memory. Zbl 1210.35024Chepyzhov, V. V.; Miranville, A. 6 2005 On the fractal dimension of invariant sets: Applications to Navier-Stokes equations. Zbl 1049.37047Chepyzhov, V. V.; Ilyin, A. A. 25 2004 Approximation of trajectories lying on a global attractor of a hyperbolic equation with an exterior force that oscillates rapidly over time. Zbl 1077.37048Vishik, M. I.; Chepyzhov, V. V. 12 2003 Kolmogorov \(\varepsilon\)-entropy in the problems on global attractors for evolution equations of mathematical physics. Zbl 1072.37056Vishik, M. I.; Chepyzhov, V. V. 1 2003 Attractors for equations of mathematical physics. Zbl 0986.35001Chepyzhov, V. V.; Vishik, M. I. 547 2002 Trajectory and global attractors of the three-dimensional Navier-Stokes system. Zbl 1130.37404Vishik, M. I.; Chepyzhov, V. V. 61 2002 Non-autonomous 2D Navier-Stokes system with a simple global attractor and some averaging problems. Zbl 1068.35089Chepyzhov, V. V.; Vishik, M. I. 20 2002 Averaging of trajectory attractors of evolution equations with rapidly oscillating terms. Zbl 1011.35104Vishik, M. I.; Chepyzhov, V. V. 33 2001 A note on the fractal dimension of attractors of dissipative dynamical systems. Zbl 1153.37438Chepyzhov, V. V.; Ilyin, A. A. 19 2001 A simple algorithm for fast correlation attacks on stream ciphers. Zbl 0999.94542Chepyzhov, Vladimor V.; Johansson, Thomas; Smeets, Ben 14 2001 Averaging of trajectory attractors of evolution equations with rapidly oscillating coefficients. Zbl 1046.37046Chepyzhov, V. V.; Vishik, M. I. 5 2001 Hausdorff dimension estimation for attractors of nonautonomous dynamical systems in unbounded domains: An example. Zbl 1022.37048Chepyzhov, V. V.; Efendiev, M. A. 14 2000 Perturbation of trajectory attractors for dissipative hyperbolic equations. Zbl 0938.35029Chepyzhov, Vladimir V.; Vishik, Mark I. 1 1999 Explicit construction of integral manifolds with exponential tracking. Zbl 1017.37042Chepyzhov, V. V.; Goritsky, A. Yu. 1 1999 Kolmogorov \(\varepsilon\)-entropy estimates for the uniform attractors of non-autonomous reaction-diffusion systems. Zbl 0915.35056Vishik, M. I.; Chepyzhov, V. V. 13 1998 Evolution equations and their trajectory attractors. Zbl 0896.35032Chepyzhov, Vladimir V.; Vishik, Mark I. 113 1997 Global integral manifolds with exponential tracking for nonautonomous equations. Zbl 0908.34044Chepyzhov, Vladimir V.; Goritsky, Andrei Yu. 6 1997 Trajectory attractors for reaction-diffusion systems. Zbl 0894.35010Chepyzhov, Vladimir V.; Vishik, Mark I. 34 1996 Trajectory attractors for the 2D Navier-Stokes system and some generalizations. Zbl 0894.35011Chepyzhov, Vladimir V.; Vishik, Mark I. 9 1996 Trajectory attractors for evolution equations. Zbl 0843.35038Chepyzhov, Vladimir V.; Vishik, Mark I. 22 1995 Non-autonomous evolutionary equations with translation-compact symbols and their attractors. Zbl 0837.35059Chepyzhov, Vladimir V.; Vishik, Mark I. 14 1995 Attractors of non-autonomous evolution equations with translation-compact symbols. Zbl 0836.35062Chepyzhov, V. V.; Vishik, M. I. 6 1995 Attractors of periodic processes and estimates of their dimension. Zbl 0841.35016Vishik, M. I.; Chepyzhov, V. V. 5 1995 Nonbinary convolutional coding in channels with jamming. Zbl 0901.94027Zigangirov, K. Sh.; Popov, S. A.; Chepyzhov, V. V. 1 1995 Attractors of non-autonomous dynamical systems and their dimension. Zbl 0838.58021Chepyzhov, V. V.; Vishik, M. I. 111 1994 Periodic processes and non-autonomous evolution equations with time- periodic terms. Zbl 0820.47073Chepyzhov, V. V.; Vishik, M. I. 2 1994 Attractors of non-autonomous partial differential equation and their dimension. Zbl 0811.58040Vishik, Mark I.; Chepyzhov, Vladimir V. 1 1994 A Hausdorff dimension estimate for kernel sections of non-autonomous evolution equations. Zbl 0819.35073Chepyzhov, V.; Vishik, Mark Iosifovich 24 1993 Nonautonomous evolution equations and their attractors. Zbl 0913.35055Chepyzhov, Vladimir V.; Vishik, Mark I. 10 1993 Dimension estimates for attractors and for kernel sections of non-autonomous evolution equations. Zbl 0796.35065Chepyzhov, Vladimir V.; Vishik, Mark I. 3 1993 Attractors for nonautonomous evolution equations with almost periodic symbols. Zbl 0770.35028Chepyzhov, Vladimir V.; Vishik, Mark I. 1 1993 Unbounded attractors of evolution equations. Zbl 0768.58029Chepyzhov, V. V.; Goritskij, A. Yu. 5 1992 New lower bounds for the minimal distance of linear quasicyclic and almost linear cyclic codes. Zbl 0776.94019Chepyzhov, V. V. 5 1992 Attractors of nonautonomous dynamical systems and an estimation of their dimension. Zbl 0866.35022Vishik, M. I.; Chepyzhov, V. V. 2 1992 New lower bounds for minimum distance of linear quasi-cyclic and almost linear cyclic codes. Zbl 0783.94028Chepyzhov, V. V. 1 1992 On a fast correlation attack on certain stream ciphers. Zbl 0766.94002Chepyzhov, Vladimir; Smeets, Ben 8 1991 On unbounded invariant sets and attractors of some quasilinear equations and systems of parabolic type. Zbl 0662.35063Chepyzhov, V. V. 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 801 Authors 42 Zhou, Shengfan 38 Zelik, Sergey V. 36 Kapustyan, Oleksiy V. 35 Chepyzhov, Vladimir V. 34 Valero, José 32 Zhao, Caidi 31 Langa, Jose’ Antonio 31 Pata, Vittorino 28 Caraballo Garrido, Tomás 27 Kasyanov, Pavlo O. 23 Kloeden, Peter Eris 20 Sun, Chunyou 19 Nolasco de Carvalho, Alexandre 19 Vishik, Marko Iosifovich 19 Zhong, Chengkui 17 Robinson, James Cooper 17 You, Yuncheng 16 Cui, Hongyong 16 Łukaszewicz, Grzegorz 16 Wang, Yejuan 14 Conti, Monica C. 14 Li, Yangrong 13 Abdallah, Ahmed Y. 13 Ilyin, Alexei A. 13 Kalita, Piotr 13 Marín-Rubio, Pedro 13 You, Bo 12 Gorban, Nataliia V. 12 Li, Desheng 12 Miranville, Alain M. 12 Qin, Yuming 12 Zvyagin, Viktor Grigor’evich 11 Cung The Anh 11 Fiedler, Bernold 11 Kostianko, Anna 11 Real Anguas, José 10 Gal, Ciprian Gheorghe Sorin 10 Li, Fang 10 Tachim Medjo, Theodore 10 Zgurovsky, Mikhail Z. 9 Efendiev, Messoud 9 Rocha, Carlos 9 Wang, Bixiang 9 Xin, Jie 8 Chechkin, Gregory Aleksandrovich 8 Ma, Qiaozhen 8 Meng, Fengjuan 8 Titi, Edriss Saleh 8 Xie, Yongqin 8 Yang, Meihua 8 Yang, Xinguang 7 Bekmaganbetov, Kuanysh Abdrakhmanovich 7 Bortolan, Matheus Cheque 7 Dashkovskiy, Sergey N. 7 Dell’Oro, Filippo 7 Paliichuk, Liliia S. 7 Wu, Delin 6 Bonotto, Everaldo M. 6 Chueshov, Igor’ Dmitrievich 6 Grasselli, Maurizio 6 Guo, Boling 6 Kalantarov, Varga K. 6 Li, Xiaojun 6 Ma, To Fu 6 Marchini, Elsa Maria 6 Phan, Chi 6 Wang, Yonghai 6 Wang, Zhaojuan 6 Zhu, Kaixuan 5 Anguiano, María 5 Coti Zelati, Michele 5 Czaja, Radosław 5 Duan, Jinqiao 5 Freitas, Mirelson M. 5 Guesmia, Aissa 5 Han, Xiaoying 5 Li, Chunqiu 5 Liu, Hui 5 Liu, Wei 5 Mei, Xinyu 5 Song, Haitao 5 Suárez, Antonio 5 Wang, Jingyu 5 Yang, Lu 5 Yin, Fuqi 5 Yin, Jinyan 5 Yue, Gaocheng 4 Cheban, David Nikolai 4 Cheskidov, Alexey 4 de la Llave, Rafael 4 Deugoue, Gabriel 4 Geredeli, Pelin Guven 4 Giorgi, Claudio 4 Gu, Anhui 4 Jorge da Silva, Marcio Antonio 4 Ju, Xuewei 4 Kang, Jum-Ran 4 Li, Dandan 4 Li, Shihu 4 Li, Yongjun ...and 701 more Authors all top 5 Cited in 208 Serials 78 Journal of Differential Equations 64 Discrete and Continuous Dynamical Systems. Series B 54 Journal of Mathematical Analysis and Applications 52 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 35 Discrete and Continuous Dynamical Systems 24 Journal of Mathematical Physics 23 Communications on Pure and Applied Analysis 21 Journal of Dynamics and Differential Equations 21 Nonlinear Analysis. Real World Applications 15 Applied Mathematics and Computation 15 Physica D 14 Applied Mathematics Letters 13 Doklady Mathematics 13 Abstract and Applied Analysis 13 Evolution Equations and Control Theory 12 Applicable Analysis 12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Stochastics and Dynamics 11 Mathematical Notes 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Applied Mathematics and Optimization 9 Mathematical Methods in the Applied Sciences 8 Journal of Mathematical Fluid Mechanics 7 Acta Mathematicae Applicatae Sinica. English Series 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Boundary Value Problems 6 Computers & Mathematics with Applications 6 Chaos, Solitons and Fractals 6 Journal of Mathematical Sciences (New York) 6 Journal of Difference Equations and Applications 6 Set-Valued and Variational Analysis 5 Nonlinearity 5 Transactions of the American Mathematical Society 5 Applied Mathematics and Mechanics. (English Edition) 5 Russian Journal of Mathematical Physics 5 NoDEA. Nonlinear Differential Equations and Applications 5 Discrete Dynamics in Nature and Society 5 Journal of Evolution Equations 5 Discrete and Continuous Dynamical Systems. Series S 4 Russian Mathematical Surveys 4 Ukrainian Mathematical Journal 4 Quarterly of Applied Mathematics 4 Acta Applicandae Mathematicae 4 SIAM Journal on Mathematical Analysis 4 Topological Methods in Nonlinear Analysis 4 Finite Fields and their Applications 4 Mathematical Problems in Engineering 4 Journal of Dynamical and Control Systems 4 Journal of Applied Mathematics 4 Advances in Difference Equations 4 Journal of Applied Analysis and Computation 4 AIMS Mathematics 3 Archive for Rational Mechanics and Analysis 3 Numerische Mathematik 3 Proceedings of the American Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Journal of Nonlinear Science 3 Cybernetics and Systems Analysis 3 Russian Mathematics 3 Sbornik: Mathematics 3 Differential Equations and Dynamical Systems 3 Vietnam Journal of Mathematics 3 Acta Mathematica Sinica. English Series 3 Qualitative Theory of Dynamical Systems 3 Differential Equations 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Cryptography and Communications 3 Applied Mathematics and Nonlinear Sciences 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 International Journal of Engineering Science 2 Journal of Statistical Physics 2 Theoretical and Mathematical Physics 2 Bulletin of Mathematical Biology 2 Acta Mathematica Vietnamica 2 Advances in Mathematics 2 Annales Polonici Mathematici 2 Journal of Computational and Applied Mathematics 2 Journal of Functional Analysis 2 Journal of the Mathematical Society of Japan 2 Numerical Functional Analysis and Optimization 2 Siberian Mathematical Journal 2 Topology and its Applications 2 Zeitschrift für Analysis und ihre Anwendungen 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Optimization 2 Asymptotic Analysis 2 Designs, Codes and Cryptography 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Bulletin des Sciences Mathématiques 2 Journal of Inequalities and Applications 2 Chaos 2 Communications in Nonlinear Science and Numerical Simulation 2 Lobachevskii Journal of Mathematics 2 Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Milan Journal of Mathematics 2 SIAM Journal on Applied Dynamical Systems 2 Central European Journal of Mathematics 2 Journal of Function Spaces and Applications ...and 108 more Serials all top 5 Cited in 37 Fields 775 Partial differential equations (35-XX) 419 Dynamical systems and ergodic theory (37-XX) 161 Fluid mechanics (76-XX) 89 Ordinary differential equations (34-XX) 60 Probability theory and stochastic processes (60-XX) 59 Mechanics of deformable solids (74-XX) 45 Operator theory (47-XX) 30 Integral equations (45-XX) 25 Biology and other natural sciences (92-XX) 25 Information and communication theory, circuits (94-XX) 18 Global analysis, analysis on manifolds (58-XX) 18 Geophysics (86-XX) 18 Systems theory; control (93-XX) 17 Classical thermodynamics, heat transfer (80-XX) 13 Difference and functional equations (39-XX) 13 Numerical analysis (65-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Measure and integration (28-XX) 8 Mechanics of particles and systems (70-XX) 6 Real functions (26-XX) 6 Computer science (68-XX) 5 Combinatorics (05-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 General topology (54-XX) 4 Quantum theory (81-XX) 3 Number theory (11-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year