Lipschitz shadowing implies structural stability SY Pilyugin, S Tikhomirov Nonlinearity 23 (10), 2509, 2010 | 82 | 2010 |
Reaction-diffusion equations with spatially distributed hysteresis P Gurevich, R Shamin, S Tikhomirov SIAM Journal on Mathematical Analysis 45 (3), 1328-1355, 2013 | 47 | 2013 |
Shadowing for actions of some finitely generated groups AV Osipov, SB Tikhomirov Dynamical Systems 29 (3), 337-351, 2014 | 43 | 2014 |
Shadowing in actions of some abelian groups SY Pilyugin, SB Tikhomirov Fundamenta Mathematicae 179 (1), 83-96, 2003 | 40 | 2003 |
Lipschitz shadowing and structural stability of flows KJ Palmer, SY Pilyugin, SB Tikhomirov Journal of Differential Equations 252 (2), 1723-1747, 2012 | 35 | 2012 |
Periodic shadowing and Ω-stability AV Osipov, SY Pilyugin, SB Tikhomirov Regular and Chaotic Dynamics 15 (2), 404-417, 2010 | 34 | 2010 |
Hölder shadowing on finite intervals S Tikhomirov Ergodic Theory and Dynamical Systems 35 (6), 2000-2016, 2015 | 31* | 2015 |
Vector fields with the oriented shadowing property SY Pilyugin, SB Tikhomirov Journal of Differential Equations 248 (6), 1345-1375, 2010 | 24 | 2010 |
Partial hyperbolicity and central shadowing S Kryzhevich, S Tikhomirov arXiv preprint arXiv:1112.4272, 2011 | 23 | 2011 |
Uniqueness of transverse solutions for reaction–diffusion equations with spatially distributed hysteresis P Gurevich, S Tikhomirov Nonlinear Analysis: Theory, Methods & Applications 75 (18), 6610-6619, 2012 | 22 | 2012 |
Numerical investigation of viscous fingering phenomenon for raw field data F Bakharev, L Campoli, A Enin, S Matveenko, Y Petrova, S Tikhomirov, ... Transport in Porous Media 132, 443-464, 2020 | 18 | 2020 |
Interiors of sets of vector fields with shadowing corresponding to certain classes of reparameterizations SB Tikhomirov Vestnik St. Petersburg University: Mathematics 41 (4), 360-366, 2008 | 16 | 2008 |
Symmetric periodic solutions of parabolic problems with discontinuous hysteresis P Gurevich, S Tikhomirov Journal of Dynamics and Differential Equations 23, 923-960, 2011 | 15 | 2011 |
Systems of reaction-diffusion equations with spatially distributed hysteresis P Gurevich, S Tikhomirov arXiv preprint arXiv:1210.6252, 2012 | 13 | 2012 |
Sets of vector fields with various properties of shadowing of pseudotra-jectories SY Pilyugin, S Tikhomirov arXiv preprint arXiv:1010.3257, 2010 | 13 | 2010 |
Oriented Shadowing Property and -Stability for Vector Fields S Gan, M Li, SB Tikhomirov Journal of Dynamics and Differential Equations 28 (1), 225-237, 2016 | 10 | 2016 |
Recent advances in reaction-diffusion equations with non-ideal relays M Curran, P Gurevich, S Tikhomirov Control of self-organizing nonlinear systems, 211-234, 2016 | 9 | 2016 |
An example of a vector field with the oriented shadowing property S Tikhomirov Journal of Dynamical and Control Systems 21, 643-654, 2015 | 9 | 2015 |
Spatially discrete reaction–diffusion equations with discontinuous hysteresis P Gurevich, S Tikhomirov Annales de l'Institut Henri Poincaré C, Analyse non linéaire 35 (4), 1041-1077, 2018 | 8 | 2018 |
Shadowing in linear skew products S Tikhomirov Journal of Mathematical Sciences 209 (6), 979-987, 2015 | 8 | 2015 |