On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies MS Gonchenko, SV Gonchenko Regular and Chaotic Dynamics 14, 116-136, 2009 | 26 | 2009 |
Mixed dynamics of 2-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies A Delshams, MS Gonchenko, SV Gonchenko, JT Lázaro arXiv preprint arXiv:1412.1128, 2014 | 18 | 2014 |
On dynamics and bifurcations of area-preserving maps with homoclinic tangencies A Delshams, M Gonchenko, S Gonchenko Nonlinearity 28 (9), 3027, 2015 | 17 | 2015 |
Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies A Delshams, M Gonchenko, P Gutiérrez arXiv preprint arXiv:1306.0728, 2013 | 16 | 2013 |
Triangular gross-pitaevskii breathers and damski-chandrasekhar shock waves M Olshanii, D Deshommes, J Torrents, M Gonchenko, V Dunjko, ... SciPost Physics 10 (5), 114, 2021 | 11 | 2021 |
On scenarios of the onset of homoclinic attractors in three-dimensional non-orientable maps AS Gonchenko, MS Gonchenko, AD Kozlov, EA Samylina Chaos: An Interdisciplinary Journal of Nonlinear Science 31 (4), 2021 | 11 | 2021 |
Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type A Delshams, M Gonchenko, P Gutiérrez International Journal of Bifurcation and Chaos 24 (08), 1440011, 2014 | 10 | 2014 |
On the structure of 1: 4 resonances in Henon maps MS Gonchenko International Journal of Bifurcation and Chaos 15 (11), 3653-3660, 2005 | 10 | 2005 |
Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio A Delshams, M Gonchenko, P Gutiérrez Regular and Chaotic Dynamics 19, 663-680, 2014 | 9 | 2014 |
On mixed dynamics of two-dimensional reversible diffeomorphisms with symmetric non-transversal heteroclinic cycles SV Gonchenko, MS Gonchenko, IO Sinitsky Izvestiya: Mathematics 84 (1), 23, 2020 | 8 | 2020 |
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 |
Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio A Delshams, M Gonchenko, P Gutiérrez SIAM Journal on Applied Dynamical Systems 15 (2), 981-1024, 2016 | 7 | 2016 |
Homoclinic phenomena in conservative systems M Gonchenko Universitat Politècnica de Catalunya, 2013 | 5 | 2013 |
On 1: 3 resonance under reversible perturbations of conservative cubic Hénon maps MS Gonchenko, AO Kazakov, EA Samylina, A Shykhmamedov Regular and Chaotic Dynamics 27 (2), 198-216, 2022 | 4 | 2022 |
Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies A Delshams, M Gonchenko, P Gutiérrez Communications in Mathematical Physics 378 (3), 1931-1976, 2020 | 4 | 2020 |
Reversible perturbations of conservative H\'enon-like maps MS Gonchenko, SV Gonchenko, K Safonov arXiv preprint arXiv:2006.02542, 2020 | 4 | 2020 |
Two-ball billiard predicts digits of the number PI in non-integer numerical bases XM Aretxabaleta, M Gonchenko, NL Harshman, SG Jackson, M Olshanii, ... arXiv preprint arXiv:1712.06698, 2017 | 4* | 2017 |
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 |
On bifurcations of area-preserving and nonorientable maps with quadratic homoclinic tangencies A Delshams, M Gonchenko, SV Gonchenko Regular and Chaotic Dynamics 19, 702-717, 2014 | 3 | 2014 |
A methodology for obtaining asymptotic estimates for the exponentially small splitting of separatrices to whiskered tori with quadratic frequencies A Delshams, M Gonchenko, P Gutiérrez Extended, 31, 2014 | 2 | 2014 |