Marina Gonchenko
Marina Gonchenko
Підтверджена електронна адреса в upc.edu
Назва
Посилання
Посилання
Рік
On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies
MS Gonchenko, SV Gonchenko
Regular and Chaotic Dynamics 14 (1), 116-136, 2009
192009
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
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
112014
On dynamics and bifurcations of area-preserving maps with homoclinic tangencies
A Delshams, M Gonchenko, S Gonchenko
Nonlinearity 28 (9), 3027, 2015
102015
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
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 (6), 663-680, 2014
82014
ON THE STRUCTURE OF 1: 4 RESONANCES IN HΙNON MAPS
MS Gonchenko
International Journal of Bifurcation and Chaos 15 (11), 3653-3660, 2005
82005
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
62016
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
42017
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
32020
Homoclinic phenomena in conservative systems
M Gonchenko
Universitat Politècnica de Catalunya, 2013
32013
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
2*2017
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 Abstracts Spring 2014, 31-37, 2015
22015
On bifurcations of area-preserving and nonorientable maps with quadratic homoclinic tangencies
A Delshams, M Gonchenko, SV Gonchenko
Regular and Chaotic Dynamics 19 (6), 702-717, 2014
22014
Triangular Gross-Pitaevskii breathers and Damski shock waves
M Olshanii, D Deshommes, M Gonchenko, V Dunjko, GE Astrakharchik
arXiv preprint arXiv:2102.12184, 2021
2021
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
2020
Reversible perturbations of conservative H\'enon-like maps
MS Gonchenko, SV Gonchenko, K Safonov
arXiv preprint arXiv:2006.02542, 2020
2020
The Dynamics of Digits: Calculating Pi with Galperin’s Billiards
X Mendez Aretxabaleta, M Gonchenko, NL Harshman, SG Jackson, ...
MDPI, 2020
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), 043123, 2018
2018
On dynamics and bifurcations of area-preserving maps with homoclinic tangencies (vol 19, pg 702, 2014)
A Delshams, M Gonchenko, S Gonchenko
NONLINEARITY 30 (3), 2017
2017
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