3D Euler about a 2D symmetry plane MD Bustamante, RM Kerr Physica D: Nonlinear Phenomena 237 (14-17), 1912-1920, 2008 | 88 | 2008 |
A robust quantitative comparison criterion of two signals based on the Sobolev norm of their difference M Perlin, MD Bustamante Journal of Engineering Mathematics 101 (1), 115-124, 2016 | 44 | 2016 |
Interplay between the Beale-Kato-Majda theorem and the analyticity-strip method to investigate numerically the incompressible Euler singularity problem MD Bustamante, M Brachet Physical Review E 86 (6), 066302, 2012 | 44 | 2012 |
Derivation of the Biot-Savart equation from the nonlinear Schrödinger equation MD Bustamante, S Nazarenko Physical Review E 92 (5), 053019, 2015 | 42 | 2015 |
Effect of the dynamical phases on the nonlinear amplitudes' evolution MD Bustamante, E Kartashova Europhysics Letters 85 (3), 34002, 2009 | 42 | 2009 |
Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems MD Bustamante, B Quinn, D Lucas Phys. Rev. Lett. 113, 084502, 2014 | 35 | 2014 |
Ideal evolution of magnetohydrodynamic turbulence when imposing Taylor-Green symmetries ME Brachet, MD Bustamante, G Krstulovic, PD Mininni, A Pouquet, ... Physical review E 87 (1), 013110, 2013 | 35 | 2013 |
The three-dimensional Euler equations: singular or non-singular? JD Gibbon, M Bustamante, RM Kerr Nonlinearity 21, T123, 2008 | 35 | 2008 |
Universal route to thermalization in weakly-nonlinear one-dimensional chains L Pistone, S Chibbaro, M Bustamante, Y L'vov, M Onorato arXiv preprint arXiv:1812.08279, 2018 | 34 | 2018 |
Dynamics of nonlinear resonances in Hamiltonian systems MD Bustamante, E Kartashova Europhysics Letters 85 (1), 14004, 2009 | 33 | 2009 |
Resonance Clustering in Wave Turbulent Regimes: Integrable Dynamics. MD Bustamante, E Kartashova Communications in Computational Physics 10 (5), 1211, 2011 | 32* | 2011 |
Complete classification of discrete resonant Rossby/drift wave triads on periodic domains MD Bustamante, U Hayat Communications in Nonlinear Science and Numerical Simulation 18 (9), 2402-2419, 2013 | 28 | 2013 |
Quadratic invariants for discrete clusters of weakly interacting waves KL Harper, MD Bustamante, SV Nazarenko Journal of Physics A: Mathematical and Theoretical 46 (24), 245501, 2013 | 26 | 2013 |
Nonlinear Rossby wave–wave and wave–mean flow theory for long-term solar cycle modulations B Raphaldini, AS Teruya, CFM Raupp, MD Bustamante The Astrophysical Journal 887 (1), 1, 2019 | 25 | 2019 |
Exact discrete resonances in the Fermi-Pasta-Ulam–Tsingou system MD Bustamante, K Hutchinson, YV Lvov, M Onorato Communications in Nonlinear Science and Numerical Simulation 73, 437-471, 2019 | 24 | 2019 |
Generalized Eulerian-Lagrangian description of Navier-Stokes dynamics C Cartes, MD Bustamante, ME Brachet Physics of Fluids 19 (7), 2007 | 23 | 2007 |
Image encryption using elliptic curves and Rossby/drift wave triads I Ullah, U Hayat, MD Bustamante Entropy 22 (4), 454, 2020 | 22 | 2020 |
Energy flux enhancement, intermittency and turbulence via Fourier triad phase dynamics in the 1-D Burgers equation BP Murray, MD Bustamante Journal of Fluid Mechanics 850, 624-645, 2018 | 22 | 2018 |
Phase and precession evolution in the Burgers equation M Buzzicotti, BP Murray, L Biferale, MD Bustamante The European Physical Journal E 39, 1-9, 2016 | 20 | 2016 |
Externally forced triads of resonantly interacting waves: boundedness and integrability properties J Harris, MD Bustamante, C Connaughton Communications in Nonlinear Science and Numerical Simulation 17 (12), 4988-5006, 2012 | 20 | 2012 |