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Jason Bramburger
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Poincaré maps for multiscale physics discovery and nonlinear Floquet theory
JJ Bramburger, JN Kutz
Physica D: Nonlinear Phenomena 408, 132479, 2020
402020
Dark disk substructure and superfluid dark matter
S Alexander, JJ Bramburger, E McDonough
Physics Letters B 797, 134871, 2019
322019
Exact minimum speed of traveling waves in a Keller–Segel model
JJ Bramburger
Applied Mathematics Letters 111, 106594, 2021
222021
Data-driven stabilization of periodic orbits
JJ Bramburger, JN Kutz, SL Brunton
IEEE Access 9, 43504-43521, 2021
202021
Sparse Identification of Slow Timescale Dynamics
JJ Bramburger, D Dylewsky, JN Kutz
Physical Review E 102, 022204, 2020
192020
Spatially localized structures in lattice dynamical systems
JJ Bramburger, B Sandstede
Journal of Nonlinear Science 30, 603-644, 2020
182020
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
162019
Deep Learning of Conjugate Mappings
JJ Bramburger, SL Brunton, JN Kutz
Physica D: Nonlinear Phenomena 427, 133008, 2021
122021
Analysis of integrodifference equations with a separable dispersal kernel
J Bramburger, F Lutscher
Acta Applicandae Mathematicae 161, 127-151, 2019
122019
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
122014
Pattern formation in random networks using graphons
J Bramburger, M Holzer
SIAM Journal on Mathematical Analysis 55 (3), 2150-2185, 2023
102023
Approximate localised dihedral patterns near a Turing instability
DJ Hill, JJ Bramburger, DJB Lloyd
Nonlinearity 36 (5), 2567, 2023
102023
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
82023
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
72020
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
72019
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
62021
Isolas of multi-pulse solutions to lattice dynamical systems
JJ Bramburger
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 151 (3 …, 2021
62021
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