Snakes, ladders, and isolas of localized patterns M Beck, J Knobloch, DJB Lloyd, B Sandstede, T Wagenknecht SIAM Journal on Mathematical Analysis 41 (3), 936-972, 2009 | 206 | 2009 |
Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations M Beck, CE Wayne Proceedings of the Royal Society of Edinburgh Section A: Mathematics 143 (5 …, 2013 | 93 | 2013 |
Using global invariant manifolds to understand metastability in the Burgers equation with small viscosity M Beck, CE Wayne SIAM review 53 (1), 129-153, 2011 | 52 | 2011 |
Computing the Maslov index for large systems M Beck, S Malham Proceedings of the American Mathematical Society 143 (5), 2159-2173, 2015 | 39 | 2015 |
Nonlinear stability of time-periodic viscous shocks M Beck, B Sandstede, K Zumbrun Archive for rational mechanics and analysis 196, 1011-1076, 2010 | 38* | 2010 |
Electrical waves in a one-dimensional model of cardiac tissue M Beck, CKRT Jones, D Schaeffer, M Wechselberger SIAM Journal on Applied Dynamical Systems 7 (4), 1558-1581, 2008 | 38 | 2008 |
Instability of pulses in gradient reaction–diffusion systems: a symplectic approach M Beck, G Cox, C Jones, Y Latushkin, K McQuighan, A Sukhtayev Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2018 | 34 | 2018 |
Nonlinear stability of semidiscrete shocks for two-sided schemes M Beck, HJ Hupkes, B Sandstede, K Zumbrun SIAM journal on mathematical analysis 42 (2), 857-903, 2010 | 24 | 2010 |
Nonlinear stability of source defects in the complex Ginzburg-Landau equation M Beck, T Nguyen, B Sandstede, K Zumburn Nonlinearity 27, 739-786, 2014 | 22 | 2014 |
Partial differential systems with non-local nonlinearities: generation and solutions M Beck, A Doikou, SJA Malham, I Stylianidis Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2018 | 21 | 2018 |
Nonlinear convective stability of travelling fronts near Turing and Hopf instabilities M Beck, A Ghazaryan, B Sandstede Journal of Differential Equations 246 (11), 4371-4390, 2009 | 20 | 2009 |
Grassmannian flows and applications to nonlinear partial differential equations M Beck, A Doikou, SJA Malham, I Stylianidis Computation and Combinatorics in Dynamics, Stochastics and Control: The Abel …, 2018 | 19 | 2018 |
Localized radial roll patterns in higher space dimensions JJ Bramburger, D Altschuler, CI Avery, T Sangsawang, M Beck, P Carter, ... SIAM Journal on Applied Dynamical Systems 18 (3), 1420-1453, 2019 | 16 | 2019 |
A geometric construction of traveling waves in a bioremediation model M Beck, A Doelman, TJ Kaper Journal of Nonlinear Science 16, 329-349, 2006 | 16 | 2006 |
Rigorous justification of Taylor dispersion via center manifolds and hypocoercivity M Beck, O Chaudhary, CE Wayne Arch Rational Mech Anal; https://doi.org/10.1007/s00205-019-01440-2, 2019 | 14 | 2019 |
Superadiabaticity in reaction waves as a mechanism for energy concentration SG Mahajan, JT Abrahamson, S Birkhimer, E Friedman, QH Wang, ... Energy & Environmental Science 7 (10), 3391-3402, 2014 | 13 | 2014 |
A geometric theory of chaotic phase synchronization M Beck, K Josić Chaos: An Interdisciplinary Journal of Nonlinear Science 13 (1), 247-258, 2003 | 13 | 2003 |
Validated spectral stability via conjugate points M Beck, J Jaquette SIAM Journal on Applied Dynamical Systems 21 (1), 366-404, 2022 | 10 | 2022 |
A dynamical approach to semilinear elliptic equations M Beck, G Cox, C Jones, Y Latushkin, A Sukhtayev Annales de l'Institut Henri Poincaré C, Analyse non linéaire 38 (2), 421-450, 2021 | 9 | 2021 |
Spectral stability and spatial dynamics in partial differential equations M Beck To appear in Notices of the AMS; https://arxiv.org/abs/1910.08024, 2020 | 9 | 2020 |