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
44 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