Cylinder renormalization of Siegel disks D Gaidashev, M Yampolsky Experimental Mathematics 16 (2), 215-226, 2007 | 26 | 2007 |
Renormalization of isoenergetically degenerate Hamiltonian flows and associated bifurcations of invariant tori DG Gaidashev Discrete and Continuous Dynamical Systems 13 (1), 63-102, 2005 | 23 | 2005 |
Renormalization and shearless invariant tori: numerical results D Gaidashev, H Koch Nonlinearity 17 (5), 1713-1722, 2004 | 23 | 2004 |
On numerical algorithms for the solution of a Beltrami equation D Gaidashev, D Khmelev SIAM Journal on Numerical Analysis 46 (5), 2238-2253, 2008 | 19 | 2008 |
Rigidity for infinitely renormalizable area-preserving maps D Gaidashev, T Johnson, M Martens | 16 | 2016 |
Dynamics of the universal area-preserving map associated with period doubling: hyperbolic sets D Gaidashev, T Johnson Nonlinearity 22 (10), 2487, 2009 | 15 | 2009 |
Renormalization of almost commuting pairs D Gaidashev, M Yampolsky Inventiones mathematicae 221, 203-236, 2020 | 14 | 2020 |
Cylinder renormalization for Siegel discs and a constructive measurable Riemann mapping theorem DG Gaidashev Nonlinearity 20 (3), 713, 2007 | 14 | 2007 |
Period doubling in area-preserving maps: an associated one-dimensional problem D Gaidashev, H Koch Ergodic Theory and Dynamical Systems 31 (4), 1193-1228, 2011 | 11 | 2011 |
On the transverse instability of the two-dimensional Benjamin–Ono solitons DG Gaidashev, SK Zhdanov Physics of Fluids 16 (6), 1915-1921, 2004 | 8 | 2004 |
Golden mean Siegel disk universality and renormalization D Gaidashev, M Yampolsky arXiv preprint arXiv:1604.00717, 2016 | 7 | 2016 |
Period doubling renormalization for area-preserving maps and mild computer assistance in contraction mapping principle DG Gaidashev International Journal of Bifurcation and Chaos 21 (11), 3217-3230, 2011 | 6 | 2011 |
Renormalization and Siegel disks for complex Hénon maps D Gaidashev, R Radu, M Yampolsky Journal of the European Mathematical Society 23 (4), 1053-1073, 2020 | 5 | 2020 |
Spectral properties of renormalization for area-preserving maps D Gaidashev, T Johnson arXiv preprint arXiv:1412.5900, 2014 | 5 | 2014 |
Existence of a Lorenz renormalization fixed point of an arbitrary critical order D Gaidashev, B Winckler Nonlinearity 25 (6), 1819, 2012 | 4 | 2012 |
Golden mean siegel disk universality and renormalization D Gaidashev, M Yampolsky Moscow Mathematical Journal 22 (3), 451-491, 2022 | 2 | 2022 |
A numerical study of infinitely renormalizable area-preserving maps D Gaidashev, T Johnson Dynamical Systems 27 (3), 283-301, 2012 | 2 | 2012 |
Renormalization of isoenergetically degenerate Hamiltonian flows, and instability of solitons in shear hydrodynamic flows DG Gaidashev The University of Texas at Austin, 2003 | 2 | 2003 |
Complex a priori bounds for Lorenz maps D Gaidashev, I Gorbovickis Nonlinearity 34 (3), 1263, 2021 | 1 | 2021 |
Renormalization for Lorenz maps of monotone combinatorial types D Gaidashev Ergodic Theory and Dynamical Systems 39 (1), 132-158, 2019 | 1 | 2019 |