Poincaré maps for multiscale physics discovery and nonlinear Floquet theory JJ Bramburger, JN Kutz Physica D: Nonlinear Phenomena 408, 132479, 2020 | 40 | 2020 |
Dark disk substructure and superfluid dark matter S Alexander, JJ Bramburger, E McDonough Physics Letters B 797, 134871, 2019 | 32 | 2019 |
Exact minimum speed of traveling waves in a Keller–Segel model JJ Bramburger Applied Mathematics Letters 111, 106594, 2021 | 22 | 2021 |
Data-driven stabilization of periodic orbits JJ Bramburger, JN Kutz, SL Brunton IEEE Access 9, 43504-43521, 2021 | 20 | 2021 |
Sparse Identification of Slow Timescale Dynamics JJ Bramburger, D Dylewsky, JN Kutz Physical Review E 102, 022204, 2020 | 19 | 2020 |
Spatially localized structures in lattice dynamical systems JJ Bramburger, B Sandstede Journal of Nonlinear Science 30, 603-644, 2020 | 18 | 2020 |
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 |
Deep Learning of Conjugate Mappings JJ Bramburger, SL Brunton, JN Kutz Physica D: Nonlinear Phenomena 427, 133008, 2021 | 12 | 2021 |
Analysis of integrodifference equations with a separable dispersal kernel J Bramburger, F Lutscher Acta Applicandae Mathematicae 161, 127-151, 2019 | 12 | 2019 |
Zero-Hopf bifurcation in the Van der Pol oscillator with delayed position and velocity feedback J Bramburger, B Dionne, VG LeBlanc Nonlinear Dynamics 78, 2959-2973, 2014 | 12 | 2014 |
Pattern formation in random networks using graphons J Bramburger, M Holzer SIAM Journal on Mathematical Analysis 55 (3), 2150-2185, 2023 | 10 | 2023 |
Approximate localised dihedral patterns near a Turing instability DJ Hill, JJ Bramburger, DJB Lloyd Nonlinearity 36 (5), 2567, 2023 | 10 | 2023 |
Localized patterns in planar bistable weakly coupled lattice systems JJ Bramburger, B Sandstede Nonlinearity 33 (7), 3500-3525, 2020 | 10* | 2020 |
Rotating wave solutions to lattice dynamical systems i: the anti-continuum limit JJ Bramburger Journal of Dynamics and Differential Equations 31, 469-498, 2019 | 9* | 2019 |
Convex relaxations of integral variational problems: pointwise dual relaxation and sum-of-squares optimization A Chernyavsky, JJ Bramburger, G Fantuzzi, D Goluskin SIAM Journal on Optimization 33 (2), 481-512, 2023 | 8 | 2023 |
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization JJ Bramburger, G Fantuzzi Journal of Nonlinear Science 34 (1), 8, 2024 | 7* | 2024 |
Minimum wave speeds in monostable reaction-diffusion equations: sharp bounds by polynomial optimization JJ Bramburger, D Goluskin Proceedings of the Royal Society A 476, 20200450, 2020 | 7 | 2020 |
Stability of infinite systems of coupled oscillators via random walks on weighted graphs J Bramburger Transactions of the American Mathematical Society 372 (2), 1159-1192, 2019 | 7 | 2019 |
The speed of traveling waves in a FKPP-Burgers system JJ Bramburger, C Henderson Archive for Rational Mechanics and Analysis 241 (2), 643-681, 2021 | 6 | 2021 |
Isolas of multi-pulse solutions to lattice dynamical systems JJ Bramburger Proceedings of the Royal Society of Edinburgh Section A: Mathematics 151 (3 …, 2021 | 6 | 2021 |