| 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 | 203 | 2005 |
| Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits SV Gonchenko, LP Shil’nikov, DV Turaev Chaos: An Interdisciplinary Journal of Nonlinear Science 6 (1), 15-31, 1996 | 184 | 1996 |
| On models with non-rough Poincaré homoclinic curves SV Gonchenko, LP Shil'Nikov, DV Turaev Physica D: Nonlinear Phenomena 62 (1-4), 1-14, 1993 | 142 | 1993 |
| Richness of chaotic dynamics in nonholonomic models of a Celtic stone AS Gonchenko, SV Gonchenko, AO Kazakov Regular and Chaotic Dynamics 18, 521-538, 2013 | 123 | 2013 |
| On the existence of Newhouse regions near systems with non-rough Poincaré homoclinic curve (multidimensional case) SV Gonchenko, DV Turaev, LP Shilnikov Russ. Acad. Sci. Dokl. Math 47, 268-273, 1993 | 116* | 1993 |
| Towards scenarios of chaos appearance in three-dimensional maps AR Khokhlov, NV Brilliantov, ST Belyakin, AR Dzhanoev, EA Zhuchkova, ... Rus. J. Nonlin. Dyn 8 (1), 3-28, 2012 | 108* | 2012 |
| Dynamical phenomena in multidimensional systems with a structurally unstable homoclinic Poincaré curve SV Gonchenko, DV Turaev, LP Shilnikov Doklady Akademii nauk 330 (2), 144-147, 1993 | 108 | 1993 |
| DYNAMICAl SYSTEMS WITH STRUCTURALLY UNSTABLE HOMOCLINIC CURVES SV Gonchenko, LP Shilnikov DOKLADY AKADEMII NAUK SSSR 286 (5), 1049-1053, 1986 | 105* | 1986 |
| 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 | 101 | 2005 |
| Homoclinic tangencies of arbitrary order in Newhouse domains SV Gonchenko, DV Turaev, LP Shilnikov Итоги науки и техники. Серия «Современная математика и ее приложения …, 1999 | 98* | 1999 |
| On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I SV Gonchenko, LP Shilnikov, DV Turaev Nonlinearity 21 (5), 923, 2008 | 95 | 2008 |
| On Newhouse domains of two-dimensional diffeomorphisms which are close to a diffeomorphism with a structurally unstable heteroclinic cycle SV Gonchenko, DV Turaev, LP Shilnikov Proc. Steklov Inst. Math 216, 70-118, 1997 | 93* | 1997 |
| Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps S Gonchenko, D Turaev, L Shilnikov Nonlinearity 20 (2), 241, 2007 | 90 | 2007 |
| Complexity in the bifurcation structure of homoclinic loops to a saddle-focus SV Gonchenko, DV Turaev, P Gaspard, G Nicolis Nonlinearity 10 (2), 409, 1997 | 89 | 1997 |
| Simple scenarios of onset of chaos in three-dimensional maps A Gonchenko, S Gonchenko, A Kazakov, D Turaev International Journal of Bifurcation and Chaos 24 (08), 1440005, 2014 | 85 | 2014 |
| Variety of strange pseudohyperbolic attractors in three-dimensional generalized Henon maps AS Gonchenko, SV Gonchenko Physica D: Nonlinear Phenomena 337, 43-57, 2016 | 83 | 2016 |
| Invariants of Ω-conjugacy of diffeomorphisms with a structurally unstable homoclinic trajectory SV Gonchenko, LP Shilnikov Ukrainian Math. J 42 (2), 134-140, 1990 | 83* | 1990 |
| On models with a structurally unstable homoclinic Poincaré curve SV Gonchenko, DV Turaev, LP Shilnikov Sov. Math. Dokl 44 (2), 422-426, 1992 | 82* | 1992 |
| On moduli of systems with a structurally unstable homoclinic Poincaré curve SV Gonchenko, LP Shil'nikov Russian Academy of Sciences. Izvestiya Mathematics 41 (3), 417, 1993 | 75* | 1993 |
| Dynamical phenomena in multidimensional systems with non-rough Poincaré homoclinic curve SV Gonchenko, DV Turaev, LP Shilnikov DOKLADY AKADEMII NAUK 330 (2), 144-147, 1993 | 71* | 1993 |
Leonid Shilnikov, Леонид ШильниковInstitute for Applied Mathematics & Cybernetics, Nizhny Novgorod, RussiaE-mail confirmado em gsu.edu
