Edit Profile (opens in new tab) Bustamante, Miguel D. Co-Author Distance Author ID: bustamante.miguel-d Published as: Bustamante, Miguel D.; Bustamante, M. D.; Bustamante, M. more...less External Links: ORCID Documents Indexed: 35 Publications since 2001, including 5 Additional arXiv Preprints Co-Authors: 36 Co-Authors with 29 Joint Publications 531 Co-Co-Authors all top 5 Co-Authors 2 single-authored 3 Brachet, Marc-Etienne 3 Gago, A. M. 3 Hayat, Umar 3 Hojman, Sergio A. 3 Kerr, Robert M. 3 Lynch, Peter 3 Onorato, Miguel 2 Cartes, Carlos 2 Lucas, Dan 2 Lvov, Yuri V. 2 Mellon, Pauline 2 Mulungye, Rachel M. 2 Pouquet, Annick G. 2 Velasco, Maria Victoria 2 Walsh, Shane G. 1 Abdullah, Mamoon 1 Amanullah, Shahid 1 Antoniou, Efstathios N. 1 Bazo, J. L. 1 Chibbaro, Sergio 1 Comito, T. 1 Connaughton, Colm P. 1 de la Maza, Ana-Cecilia 1 Gibali, Aviv 1 Gibbon, John D. 1 Harper, Katie L. 1 Harris, Jamie 1 Hutchinson, Kevin 1 Krstulovic, Giorgio 1 Mininni, Pablo D. 1 Miranda, O. G. 1 Murray, Brendan P. 1 Nazarenko, Sergeĭ Vital’evich 1 Peña-Garay, C. 1 Pérez, J. Jones 1 Perlin, Marc 1 Pezzi, A. 1 Pistone, Lorenzo 1 Rosenberg, Duane 1 Ullah, Ikram 1 van Diejen, Jan Felipe all top 5 Serials 5 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Fluid Mechanics 3 Journal of Physics A: Mathematical and Theoretical 2 Physica D 2 Regular and Chaotic Dynamics 2 Journal of High Energy Physics 1 International Journal of Modern Physics A 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Nonlinearity 1 Physica A 1 Fluid Dynamics Research 1 SIAM Journal on Matrix Analysis and Applications 1 European Journal of Applied Mathematics 1 Journal of Physics A: Mathematical and General 1 Physics of Fluids 1 Mathematics in Engineering all top 5 Fields 13 Fluid mechanics (76-XX) 9 Partial differential equations (35-XX) 6 Quantum theory (81-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Astronomy and astrophysics (85-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 110 times in 88 Documents Cited by ▼ Year ▼ 3D Euler about a 2D symmetry plane. Zbl 1143.76387 Bustamante, Miguel D.; Kerr, Robert M. 23 2008 The three-dimensional Euler equations: singular or non-singular? Zbl 1160.35498 Gibbon, J. D.; Bustamante, M.; Kerr, R. M. 14 2008 Bustamante and recession of the rock’n’roller. Zbl 1189.70003 Lynch, Peter; Bustamante, Miguel D. 9 2009 Universal route to thermalization in weakly-nonlinear one-dimensional chains. Zbl 1435.81125 Pistone, Lorenzo; Chibbaro, Sergio; Bustamante, Miguel D.; Lvov, Yuri V.; Onorato, Miguel 9 2019 Complete classification of discrete resonant Rossby/drift wave triads on periodic domains. Zbl 1310.35058 Bustamante, Miguel D.; Hayat, Umar 6 2013 Externally forced triads of resonantly interacting waves: boundedness and integrability properties. Zbl 1416.70013 Harris, Jamie; Bustamante, Miguel D.; Connaughton, Colm 6 2012 Generalized Eulerian-Lagrangian description of Navier-Stokes dynamics. Zbl 1182.76122 Cartes, Carlos; Bustamante, Miguel D.; Brachet, Marc E. 6 2007 Multi-asset Black-Scholes model as a variable second class constrained dynamical system. Zbl 1400.91582 Bustamante, M.; Contreras, M. 5 2016 Quadratic invariants for discrete clusters of weakly interacting waves. Zbl 1268.76010 Harper, Katie L.; Bustamante, Miguel D.; Nazarenko, Sergey V. 4 2013 A robust quantitative comparison criterion of two signals based on the Sobolev norm of their difference. Zbl 1360.94091 Perlin, Marc; Bustamante, Miguel D. 4 2016 Solving the problem of simultaneous diagonalization of complex symmetric matrices via congruence. Zbl 1456.15010 Bustamante, Miguel D.; Mellon, Pauline; Velasco, M. Victoria 4 2020 Exact discrete resonances in the Fermi-Pasta-Ulam-Tsingou system. Zbl 1464.82012 Bustamante, Miguel D.; Hutchinson, K.; Lvov, Y. V.; Onorato, M. 4 2019 Energy flux enhancement, intermittency and turbulence via Fourier triad phase dynamics in the 1-D Burgers equation. Zbl 1415.76251 Murray, Brendan P.; Bustamante, Miguel D. 3 2018 Quaternion solution for the rock’n’roller: box orbits, loop orbits and recession. Zbl 1273.70007 Lynch, Peter; Bustamante, Miguel D. 3 2013 Norm formulae for the Bethe Ansatz on root systems of small rank. Zbl 1132.81023 Bustamante, M. D.; van Diejen, J. F.; de la Maza, A. C. 3 2008 Symmetry-plane model of 3D Euler flows and mapping to regular systems to improve blowup assessment using numerical and analytical solutions. Zbl 1337.35115 Mulungye, Rachel M.; Lucas, Dan; Bustamante, Miguel D. 2 2015 Lagrangian structures, integrability and chaos for 3D dynamical equations. Zbl 1039.37046 Bustamante, Miguel D.; Hojman, Sergio A. 2 2003 Energy-independent new physics in the flavour ratios of high-energy astrophysical neutrinos. Zbl 1272.83091 Bustamante, M.; Gago, A. M.; Peña-Garay, C. 2 2010 3D Euler equations and ideal MHD mapped to regular systems: probing the finite-time blowup hypothesis. Zbl 1218.35166 Bustamante, Miguel D. 2 2011 Exploring symmetry plane conditions in numerical Euler solutions. Zbl 1296.76127 Kerr, Robert M.; Bustamante, Miguel D. 1 2012 Capturing reconnection phenomena using generalized Eulerian-Lagrangian description in Navier-Stokes and resistive MHD. Zbl 1281.76048 Cartes, Carlos; Bustamante, Miguel D.; Pouquet, Annick; Brachet, Marc E. 1 2009 High energy astrophysical neutrino flux and modified dispersion relations. Zbl 1179.85006 Bazo, J. L.; Bustamante, M.; Gago, A. M.; Miranda, O. G. 1 2009 Atypical late-time singular regimes accurately diagnosed in stagnation-point-type solutions of 3D Euler flows. Zbl 1382.76142 Mulungye, Rachel M.; Lucas, Dan; Bustamante, Miguel D. 1 2016 Physically feasible decomposition of Engino® toy models: a graph-theoretic approach. Zbl 1429.05195 Antoniou, E. N.; Araújo, A.; Bustamante, M. D.; Gibali, A. 1 2019 On the convergence of the normal form transformation in discrete Rossby and drift wave turbulence. Zbl 1460.76914 Walsh, Shane G.; Bustamante, Miguel D. 1 2020 Nonholonomic Noetherian symmetries and integrals of the Routh sphere and the Chaplygin ball. Zbl 1437.37079 Bustamante, Miguel D.; Lynch, Peter 1 2019 Solving the problem of simultaneous diagonalization of complex symmetric matrices via congruence. Zbl 1456.15010 Bustamante, Miguel D.; Mellon, Pauline; Velasco, M. Victoria 4 2020 On the convergence of the normal form transformation in discrete Rossby and drift wave turbulence. Zbl 1460.76914 Walsh, Shane G.; Bustamante, Miguel D. 1 2020 Universal route to thermalization in weakly-nonlinear one-dimensional chains. Zbl 1435.81125 Pistone, Lorenzo; Chibbaro, Sergio; Bustamante, Miguel D.; Lvov, Yuri V.; Onorato, Miguel 9 2019 Exact discrete resonances in the Fermi-Pasta-Ulam-Tsingou system. Zbl 1464.82012 Bustamante, Miguel D.; Hutchinson, K.; Lvov, Y. V.; Onorato, M. 4 2019 Physically feasible decomposition of Engino® toy models: a graph-theoretic approach. Zbl 1429.05195 Antoniou, E. N.; Araújo, A.; Bustamante, M. D.; Gibali, A. 1 2019 Nonholonomic Noetherian symmetries and integrals of the Routh sphere and the Chaplygin ball. Zbl 1437.37079 Bustamante, Miguel D.; Lynch, Peter 1 2019 Energy flux enhancement, intermittency and turbulence via Fourier triad phase dynamics in the 1-D Burgers equation. Zbl 1415.76251 Murray, Brendan P.; Bustamante, Miguel D. 3 2018 Multi-asset Black-Scholes model as a variable second class constrained dynamical system. Zbl 1400.91582 Bustamante, M.; Contreras, M. 5 2016 A robust quantitative comparison criterion of two signals based on the Sobolev norm of their difference. Zbl 1360.94091 Perlin, Marc; Bustamante, Miguel D. 4 2016 Atypical late-time singular regimes accurately diagnosed in stagnation-point-type solutions of 3D Euler flows. Zbl 1382.76142 Mulungye, Rachel M.; Lucas, Dan; Bustamante, Miguel D. 1 2016 Symmetry-plane model of 3D Euler flows and mapping to regular systems to improve blowup assessment using numerical and analytical solutions. Zbl 1337.35115 Mulungye, Rachel M.; Lucas, Dan; Bustamante, Miguel D. 2 2015 Complete classification of discrete resonant Rossby/drift wave triads on periodic domains. Zbl 1310.35058 Bustamante, Miguel D.; Hayat, Umar 6 2013 Quadratic invariants for discrete clusters of weakly interacting waves. Zbl 1268.76010 Harper, Katie L.; Bustamante, Miguel D.; Nazarenko, Sergey V. 4 2013 Quaternion solution for the rock’n’roller: box orbits, loop orbits and recession. Zbl 1273.70007 Lynch, Peter; Bustamante, Miguel D. 3 2013 Externally forced triads of resonantly interacting waves: boundedness and integrability properties. Zbl 1416.70013 Harris, Jamie; Bustamante, Miguel D.; Connaughton, Colm 6 2012 Exploring symmetry plane conditions in numerical Euler solutions. Zbl 1296.76127 Kerr, Robert M.; Bustamante, Miguel D. 1 2012 3D Euler equations and ideal MHD mapped to regular systems: probing the finite-time blowup hypothesis. Zbl 1218.35166 Bustamante, Miguel D. 2 2011 Energy-independent new physics in the flavour ratios of high-energy astrophysical neutrinos. Zbl 1272.83091 Bustamante, M.; Gago, A. M.; Peña-Garay, C. 2 2010 Bustamante and recession of the rock’n’roller. Zbl 1189.70003 Lynch, Peter; Bustamante, Miguel D. 9 2009 Capturing reconnection phenomena using generalized Eulerian-Lagrangian description in Navier-Stokes and resistive MHD. Zbl 1281.76048 Cartes, Carlos; Bustamante, Miguel D.; Pouquet, Annick; Brachet, Marc E. 1 2009 High energy astrophysical neutrino flux and modified dispersion relations. Zbl 1179.85006 Bazo, J. L.; Bustamante, M.; Gago, A. M.; Miranda, O. G. 1 2009 3D Euler about a 2D symmetry plane. Zbl 1143.76387 Bustamante, Miguel D.; Kerr, Robert M. 23 2008 The three-dimensional Euler equations: singular or non-singular? Zbl 1160.35498 Gibbon, J. D.; Bustamante, M.; Kerr, R. M. 14 2008 Norm formulae for the Bethe Ansatz on root systems of small rank. Zbl 1132.81023 Bustamante, M. D.; van Diejen, J. F.; de la Maza, A. C. 3 2008 Generalized Eulerian-Lagrangian description of Navier-Stokes dynamics. Zbl 1182.76122 Cartes, Carlos; Bustamante, Miguel D.; Brachet, Marc E. 6 2007 Lagrangian structures, integrability and chaos for 3D dynamical equations. Zbl 1039.37046 Bustamante, Miguel D.; Hojman, Sergio A. 2 2003 all cited Publications top 5 cited Publications all top 5 Cited by 143 Authors 10 Bustamante, Miguel D. 9 Protas, Bartosz 4 Bizyaev, Ivan Alekseevich 4 Mamaev, Ivan Sergeevich 3 Ayala, Diego 3 Borisov, Alekseĭ Vladimirovich 3 Emsiz, Erdal 3 Gibbon, John D. 3 Kerr, Robert M. 3 Mailybaev, Alexei Abaevich 3 Onorato, Miguel 2 Chibbaro, Sergio 2 Hayat, Umar 2 Kang, Di 2 Kimura, Yoshifumi 2 Lucas, Dan 2 Lvov, Yuri V. 2 Lynch, Peter 2 Moffatt, Henry Keith 2 Mulungye, Rachel M. 2 Nazarenko, Sergeĭ Vital’evich 2 Ohkitani, Koji 2 Thomas, Jim 2 van Diejen, Jan Felipe 2 Yun, Dongfang 1 Abdullah, Mamoon 1 Agafontsev, D. S. 1 Agelas, Leo 1 Alexakis, Alexandros 1 Amanullah, Shahid 1 Apte, Amit 1 Bagheri, Mehran 1 Balk, Alexander M. 1 Barkley, Dwight 1 Bassom, Andrew P. 1 Basu, Biswajit 1 Behrendt, Jasper 1 Besse, Nicolas 1 Bolsinov, Alexey V. 1 Borthwick, Alistair G. L. 1 Brito-Loeza, Carlos 1 Buaria, Dhawal 1 Caliari, Marco 1 Campolina, Ciro S. 1 Carnevale, George F. 1 Cartwright, Julyan H. E. 1 Ceballos, Manuel 1 Childress, Stephen 1 Christov, Ognyan 1 Comito, T. 1 Connaughton, Colm P. 1 Constantin, Peter 1 Dematteis, Giovanni 1 Desmars, Nicolas 1 Dhar, Abhishek 1 Ding, Lingyun 1 Ding, Wentao 1 Donzis, Diego A. 1 Durey, Matthew 1 Elgindi, Tarek Mohamed 1 Espinosa-Romero, Arturo 1 Falcón Ganfornina, Raúl Manuel 1 Feng, Sihan 1 Florio, Brendan J. 1 Frisch, Uriel 1 Fu, Weicheng 1 Ganapa, Santhosh 1 Gilbert, Andrew D. 1 Gupta, Anupam 1 Gutin, Gregory Z. 1 Hartmann, Moritz 1 Hertel, Tobias 1 Hou, Thomas Yizhao 1 Jeong, In-Jee 1 Judd, Kevin 1 Kazakov, Alexey O. 1 Kilin, Aleksandr Aleksandrovich 1 Kim, Byungsoo 1 Klein, Marco 1 Kopp, Gene S. 1 Kuznetsov, Evgeniĭ Aleksandrovich 1 Le, Thanh Hieu 1 Legarda-Sáenz, Ricardo 1 Li, Jianze 1 Li, Jiyang 1 Liao, Shijun 1 Liu, Zeng 1 Luo, Guo 1 Martin, Calin-Iulian 1 Milewski, Paul A. 1 Murray, Brendan P. 1 Nave, Jean-Christophe 1 Nematizadeh Juneghani, Safura 1 Nguyen, Thi Ngan 1 Núñez-Valdés, Juan 1 Orlandi, Paolo 1 Paleari, Simone 1 Pandit, Rahul 1 Pauls, Walter 1 Penati, Tiziano ...and 43 more Authors all top 5 Cited in 38 Serials 22 Journal of Fluid Mechanics 8 Regular and Chaotic Dynamics 5 Physica D 4 Journal of Nonlinear Science 3 Physics of Fluids 3 Communications in Nonlinear Science and Numerical Simulation 2 Geophysical and Astrophysical Fluid Dynamics 2 Journal of Computational Physics 2 Physics Letters. A 2 Physics Reports 2 SIAM Journal on Matrix Analysis and Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Multiscale Modeling & Simulation 2 Journal of Statistical Mechanics: Theory and Experiment 2 Journal of Physics A: Mathematical and Theoretical 2 Mathematics in Engineering 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Wave Motion 1 Journal of Geometry and Physics 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 International Journal of Computer Mathematics 1 Expositiones Mathematicae 1 Russian Journal of Mathematical Physics 1 Doklady Mathematics 1 Journal of High Energy Physics 1 Nonlinear Analysis. Real World Applications 1 Journal of Cosmology and Astroparticle Physics 1 Annals of PDE 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 26 Fields 55 Fluid mechanics (76-XX) 26 Partial differential equations (35-XX) 18 Dynamical systems and ergodic theory (37-XX) 12 Numerical analysis (65-XX) 12 Mechanics of particles and systems (70-XX) 11 Statistical mechanics, structure of matter (82-XX) 6 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year