Theory and computation of covariant Lyapunov vectors PV Kuptsov, U Parlitz Journal of nonlinear science 22, 727-762, 2012 | 172 | 2012 |
Fast numerical test of hyperbolic chaos PV Kuptsov Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 85 (1 …, 2012 | 65 | 2012 |
Violation of hyperbolicity in a diffusive medium with local hyperbolic attractor PV Kuptsov, SP Kuznetsov Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 80 (1 …, 2009 | 53 | 2009 |
Large-deviation approach to space-time chaos PV Kuptsov, A Politi Physical Review Letters 107 (11), 114101, 2011 | 27 | 2011 |
Numerical test for hyperbolicity of chaotic dynamics in time-delay systems PV Kuptsov, SP Kuznetsov Physical Review E 94 (1), 010201, 2016 | 24 | 2016 |
Lyapunov analysis of strange pseudohyperbolic attractors: angles between tangent subspaces, local volume expansion and contraction PV Kuptsov, SP Kuznetsov Regular and Chaotic Dynamics 23, 908-932, 2018 | 22 | 2018 |
Hyperbolic chaos of Turing patterns PV Kuptsov, SP Kuznetsov, A Pikovsky Physical Review Letters 108 (19), 194101, 2012 | 21 | 2012 |
Вычисление показателей Ляпунова для распределённых систем: преимущества и недостатки различных численных методов ПВ Купцов Известия высших учебных заведений. Прикладная нелинейная динамика 18 (5), 93-112, 2010 | 17 | 2010 |
Numerical test for hyperbolicity in chaotic systems with multiple time delays PV Kuptsov, SP Kuznetsov Communications in Nonlinear Science and Numerical Simulation 56, 227-239, 2018 | 16 | 2018 |
Computation of Lyapunov exponents for spatially extended systems: Advantages and limitations of various numerical methods PV Kuptsov Izv. Vyssh. Uchebn. Zaved. Prikl. Nelin. Dinam 18 (5), 93-112, 2010 | 16 | 2010 |
Radial and circular synchronization clusters in extended starlike network of van der Pol oscillators PV Kuptsov, AV Kuptsova Communications in Nonlinear Science and Numerical Simulation 50, 115-127, 2017 | 15 | 2017 |
Predictable nonwandering localization of covariant Lyapunov vectors and cluster synchronization in scale-free networks of chaotic maps PV Kuptsov, AV Kuptsova Physical Review E 90 (3), 032901, 2014 | 13 | 2014 |
Variety of regimes of starlike networks of Hénon maps PV Kuptsov, AV Kuptsova Physical Review E 92 (4), 042912, 2015 | 12 | 2015 |
Strict and fussy mode splitting in the tangent space of the Ginzburg-Landau equation PV Kuptsov, U Parlitz Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 81 (3 …, 2010 | 12 | 2010 |
Particle in the Brusselator model with flow PV Kuptsov, SP Kuznetsov, E Mosekilde Physica D: Nonlinear Phenomena 163 (1-2), 80-88, 2002 | 12 | 2002 |
Artificial neural network as a universal model of nonlinear dynamical systems PV Kuptsov, AV Kuptsova, NV Stankevich arXiv preprint arXiv:2104.05402, 2021 | 9 | 2021 |
Rigid transition to the stationary structure and imposed convective instability in a reaction–diffusion system with flow PV Kuptsov Physica D: Nonlinear Phenomena 197 (1-2), 174-195, 2004 | 8 | 2004 |
Route to hyperbolic hyperchaos in a nonautonomous time-delay system PV Kuptsov, SP Kuznetsov Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (11), 2020 | 7 | 2020 |
Violation of hyperbolicity via unstable dimension variability in a chain with local hyperbolic chaotic attractors PV Kuptsov Journal of Physics A: Mathematical and Theoretical 46 (25), 254016, 2013 | 7 | 2013 |
О феноменах, сопровождающих переход к режиму синхронного хаоса в связанных неавтономных осцилляторах, представленных уравнениями для комплексных амплитуд ПВ Купцов, СП Кузнецов Russian Journal of Nonlinear Dynamics 2 (3), 307-331, 2006 | 7 | 2006 |