Three-dimensional Hénon-like maps and wild Lorenz-like attractors SV Gonchenko, II Ovsyannikov, C Simó, D Turaev International Journal of Bifurcation and Chaos 15 (11), 3493-3508, 2005 | 191 | 2005 |
Chaotic dynamics of three-dimensional H\'enon maps that originate from a homoclinic bifurcation SV Gonchenko, JD Meiss, II Ovsyannikov arXiv preprint nlin/0510061, 2005 | 97 | 2005 |
Examples of Lorenz-like attractors in Hénon-like maps SV Gonchenko, AS Gonchenko, II Ovsyannikov, DV Turaev Mathematical Modelling of Natural Phenomena 8 (5), 48-70, 2013 | 50 | 2013 |
Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model II Ovsyannikov, DV Turaev Nonlinearity 30 (1), 115, 2016 | 33 | 2016 |
Birth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle points SV Gonchenko, II Ovsyannikov, JC Tatjer Regular and Chaotic Dynamics 19, 495-505, 2014 | 22 | 2014 |
On global bifurcations of three-dimensional diffeomorphisms leading to Lorenz-like attractors SV Gonchenko, II Ovsyannikov Mathematical Modelling of Natural Phenomena 8 (5), 71-83, 2013 | 20 | 2013 |
Homoclinic tangencies to resonant saddles and discrete Lorenz attractors SV Gonchenko, II Ovsyannikov arXiv preprint arXiv:1509.00264, 2015 | 16 | 2015 |
On bifurcations of three-dimensional diffeomorphisms with a non-transversal heteroclinic cycle containing saddle-foci SV Gonchenko, II Ovsyannikov Russian Journal of Nonlinear Dynamics 6 (1), 61-77, 2010 | 15 | 2010 |
On the effect of invisibility of stable periodic orbits at homoclinic bifurcations SV Gonchenko, II Ovsyannikov, D Turaev Physica D: Nonlinear Phenomena 241 (13), 1115-1122, 2012 | 14 | 2012 |
Bifurcations of cubic homoclinic tangencies in two-dimensional symplectic maps M Gonchenko, S Gonchenko, I Ovsyannikov Mathematical Modelling of Natural Phenomena 12 (1), 41-61, 2017 | 7 | 2017 |
On bifurcations of three-dimensional diffeomorphisms with a homoclinic tangency to a “neutral” saddle fixed point VS Gonchenko, II Ovsyannikov Записки научных семинаров ПОМИ 300 (0), 167-172, 2003 | 7 | 2003 |
On bifurcations of multidimensional diffeomorphisms having a homoclinic tangency to a saddle-node SV Gonchenko, OV Gordeeva, VI Lukyanov, II Ovsyannikov Regular and chaotic dynamics 19, 461-473, 2014 | 4 | 2014 |
Lorenz-like attractors in three-dimensional Hénon maps AS Gonchenko, SV Gonchenko, II Ovsyannikov, D Turaev Mathematical Modelling of Natural Phenomena, 2013 | 4 | 2013 |
On bifurcations of three-dimensional diffeomorphisms with a homoclinic tangency to a “neutral” saddle fixed point VS Gonchenko, II Ovsyannikov Journal of Mathematical Sciences 128, 2774-2777, 2005 | 4 | 2005 |
Inhomogeneous domain walls in spintronic nanowires L Siemer, I Ovsyannikov, JDM Rademacher Nonlinearity 33 (6), 2905, 2020 | 3 | 2020 |
On local and global aspects of the 1: 4 resonance in the conservative cubic Hénon maps M Gonchenko, SV Gonchenko, I Ovsyannikov, A Vieiro Chaos: An Interdisciplinary Journal of Nonlinear Science 28 (4), 2018 | 3 | 2018 |
Time averages and periodic attractors at high Rayleigh number for Lorenz-like models I Ovsyannikov, JDM Rademacher, R Welter, B Lu Journal of Nonlinear Science 33 (5), 73, 2023 | 2 | 2023 |
Global and local bifurcations, three-dimensional Henon maps and discrete Lorenz attractors I Ovsyannikov arXiv preprint arXiv:2104.01262, 2021 | 2 | 2021 |
On stability of the Chaplygin ball motion on a plane with an arbitrary friction law II Ovsyannikov Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki …, 2012 | 2 | 2012 |
On the Birth of Discrete Lorenz Attractors Under Bifurcations of 3D Maps with Nontransversal Heteroclinic Cycles II Ovsyannikov Regular and Chaotic Dynamics 27 (2), 217-231, 2022 | 1 | 2022 |