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Marina Gonchenko
Marina Gonchenko
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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
262009
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
182014
On dynamics and bifurcations of area-preserving maps with homoclinic tangencies
A Delshams, M Gonchenko, S Gonchenko
Nonlinearity 28 (9), 3027, 2015
172015
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
162013
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
112021
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
112021
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
102014
On the structure of 1: 4 resonances in Henon maps
MS Gonchenko
International Journal of Bifurcation and Chaos 15 (11), 3653-3660, 2005
102005
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
92014
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
82020
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
72017
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
72016
Homoclinic phenomena in conservative systems
M Gonchenko
Universitat Politècnica de Catalunya, 2013
52013
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
42022
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
42020
Reversible perturbations of conservative H\'enon-like maps
MS Gonchenko, SV Gonchenko, K Safonov
arXiv preprint arXiv:2006.02542, 2020
42020
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
32018
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
32014
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
22014
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Artigos 1–20