Hypoelliptic diffusion and human vision: a semidiscrete new twist U Boscain, RA Chertovskih, JP Gauthier, AO Remizov SIAM Journal on Imaging Sciences 7 (2), 669-695, 2014 | 74 | 2014 |
Regular path-constrained time-optimal control problems in three-dimensional flow fields R Chertovskih, D Karamzin, NT Khalil, FL Pereira European Journal of Control 56, 98-106, 2020 | 38 | 2020 |
An indirect method for regular state-constrained optimal control problems in flow fields R Chertovskih, D Karamzin, NT Khalil, FL Pereira IEEE Transactions on Automatic Control 66 (2), 787-793, 2020 | 34 | 2020 |
Highly corrupted image inpainting through hypoelliptic diffusion UV Boscain, R Chertovskih, JP Gauthier, D Prandi, A Remizov Journal of Mathematical Imaging and Vision 60, 1231-1245, 2018 | 33 | 2018 |
Dependence of magnetic field generation by thermal convection on the rotation rate: A case study R Chertovskih, SMA Gama, O Podvigina, V Zheligovsky Physica D: Nonlinear Phenomena 239 (13), 1188-1209, 2010 | 29 | 2010 |
An indirect numerical method for a time-optimal state-constrained control problem in a steady two-dimensional fluid flow R Chertovskih, D Karamzin, NT Khalil, FL Pereira 2018 IEEE/OES Autonomous Underwater Vehicle Workshop (AUV), 1-6, 2018 | 21 | 2018 |
Magnetic field generation by pointwise zero-helicity three-dimensional steady flow of an incompressible electrically conducting fluid A Rasskazov, R Chertovskih, V Zheligovsky Physical Review E 97 (4), 043201, 2018 | 21 | 2018 |
Route to hyperchaos in Rayleigh-Bénard convection R Chertovskih, EV Chimanski, EL Rempel Europhysics Letters 112 (1), 14001, 2015 | 21 | 2015 |
Magnetic field generation by intermittent convection R Chertovskih, EL Rempel, EV Chimanski Physics Letters A 381 (38), 3300-3306, 2017 | 16 | 2017 |
Large-scale weakly nonlinear perturbations of convective magnetic dynamos in a rotating layer R Chertovskih, V Zheligovsky Physica D: Nonlinear Phenomena 313, 99-116, 2015 | 16 | 2015 |
Path-constrained trajectory time-optimization in a three-dimensional steady flow field R Chertovskih, D Karamzin, NT Khalil, FL Pereira 2019 18th European Control Conference (ECC), 3746-3751, 2019 | 13 | 2019 |
Feedback maximum principle for ensemble control of local continuity equations: An application to supervised machine learning M Staritsyn, N Pogodaev, R Chertovskih, FL Pereira IEEE Control Systems Letters 6, 1046-1051, 2021 | 11 | 2021 |
Computation of Kinematic and Magnetic α-Effect and Eddy Diffusivity Tensors by Padé Approximation SMA Gama, R Chertovskih, V Zheligovsky Fluids 4 (2), 110, 2019 | 9 | 2019 |
Backward-stochastic-differential-equation approach to modeling of gene expression E Shamarova, R Chertovskih, AF Ramos, P Aguiar Physical Review E 95 (3), 032418, 2017 | 9 | 2017 |
Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion U Boscain, R Chertovskih, JP Gauthier, D Prandi, A Remizov ESAIM: Proceedings and Surveys 64, 37-53, 2018 | 8 | 2018 |
On–off intermittency and spatiotemporal chaos in three-dimensional Rayleigh–Bénard convection EV Chimanski, EL Rempel, R Chertovskih Advances in Space Research 57 (6), 1440-1447, 2016 | 8 | 2016 |
Nonlinear large-scale perturbations of steady thermal convective dynamo regimes in a plane layer of electrically conducting fluid rotating about the vertical axis SR Jeyabalan, R Chertovskih, S Gama, V Zheligovsky Mathematics 10 (16), 2957, 2022 | 7 | 2022 |
Chaotic transients and hysteresis in an α 2 dynamo model DN Oliveira, EL Rempel, R Chertovskih, BB Karak Journal of Physics: Complexity 2 (2), 025012, 2021 | 7 | 2021 |
Optimal control of nonlocal continuity equations: Numerical solution R Chertovskih, N Pogodaev, M Staritsyn Applied Mathematics & Optimization 88 (3), 86, 2023 | 6 | 2023 |
On kinematic generation of the magnetic modes of bloch type VA Zheligovsky, RA Chertovskih Izvestiya, Physics of the Solid Earth 56, 103-116, 2020 | 6 | 2020 |