Publications
- J. Bramburger and G. Fantuzzi.
Data-driven discovery of invariant measures.
Proceedings of the Royal Society A 480, (2024) 20230627 [Code Repository] - D. Hill, J. Bramburger, and D. Lloyd.
Dihedral rings of patterns emerging from a Turing bifurcation.
Nonlinearity 37, (2024) 035015. [Code Repository] - Z. Nicolaou and J. Bramburger.
Complex localization mechanisms in networks of coupled oscillators: two case studies.
Chaos 34, (2024) 013131. [Code Repository] - J. Bramburger and G. Fantuzzi.
Auxiliary functions as Koopman observables: Data-driven analysis of dynamical systems via polynomial optimization.
Journal of Nonlinear Science 34, (2024) 8. [Code Repository] - K. Kaheman, U. Fasel, J. Bramburger, B. Strom, J.N. Kutz, and S. Brunton.
The experimental multi-arm pendulum on a cart: a benchmark system for chaos, learning, and control.
HardwareX 15, (2023) e00465. [Video Abstract] [Code Repository] [Data and CAD Files] - J. Bramburger and M. Holzer.
Pattern formation in random networks using graphons
SIAM Journal on Mathematical Analysis 55, (2023) 2150-2185. - A. Chernyavsky, J. Bramburger, G. Fantuzzi, and D. Goluskin.
Convex relaxations of integral variational problems: pointwise dual relaxation and sum-of-squares optimization
SIAM Journal on Optimization 33, (2023) 481-512. - D. Hill, J. Bramburger, and D. Lloyd.
Approximate localised dihedral patterns near a Turing instability.
Nonlinearity 36, (2023) 2567-2630. [Code Repository] [Cover Article] [DSweb Feature] - K. Kaheman, J. Bramburger, J.N. Kutz, and S. Brunton.
Saddle transport and chaos in the double pendulum
Nonlinear Dynamics 111, (2023) 7199-7233. [Code Repository] - M. Tian, J. Bramburger, and B. Sandstede.
Snaking bifurcations of localized patterns on ring lattices.
IMA Journal of Applied Mathematics 86, (2021) 1112-1140. - J. Bramburger, S. Brunton, and J.N. Kutz.
Deep learning of conjugate mappings.
Physica D 447, (2021) 133008. [Video Abstract] [Code Repository] - J. Bramburger and C. Henderson.
The speed of traveling waves in a FKPP-Burgers system.
Archive for Rational Mechanics and Analysis 241, (2021) 643-681. [Code Repository] - J. Bramburger.
Isolas of multi-pulse solutions to lattice dynamical systems.
Proceedings of the Royal Society of Edinburgh A 151, (2021) 916-952. - J. Bramburger, J.N. Kutz, and S. Brunton.
Data-driven stabilization of periodic orbits.
IEEE Access 9, (2021) 43504-43521. [Video Abstract] [Code Repository] - J. Bramburger.
Exact minimum speed of traveling waves in a Keller-Segel model.
Applied Mathematics Letters 111, (2021) 106594. - J. Bramburger and D. Goluskin.
Minimum wave speeds in monostable reaction-diffusion equations: sharp bounds by polynomial optimization.
Proceedings of the Royal Society A 476, (2020) 20200450. [Video Abstract] [Code Repository] - J. Bramburger, D. Dylewsky, and J.N. Kutz.
Sparse identification of slow timescale dynamics.
Physical Review E 102, (2020) 022204. [Video Abstract] [Code Repository] - J. Bramburger and B. Sandstede.
Localized patterns in planar bistable weakly coupled lattice systems.
Nonlinearity 33, (2020) 3500-3525. - J. Bramburger and B. Sandstede.
Spatially localized structures in lattice dynamical systems.
Journal of Nonlinear Science 30, (2020) 603-644. - J. Bramburger and J.N. Kutz.
Poincaré maps for multiscale physics discovery and nonlinear Floquet theory.
Physica D 408, (2020) 132497. [Video Abstract] [Code Repository] - J. Bramburger, J. Cuevas-Maraver, and P.G. Kevrekidis.
Vortex pairs in the discrete nonlinear Schrodinger equation.
Nonlinearity 33, (2020) 2159-2180. - J. Bramburger.
Ultracontractive properties for directed graph semigroups with applications to coupled oscillators.
Canadian Mathematical Bulletin 63, (2020) 13-30. - J. Bramburger.
Stable periodic solutions to lambda-omega lattice dynamical systems.
Journal of Differential Equations 268, (2020) 3201-3254. - S. Alexander, J. Bramburger, and E. McDonough.
Dark disk substructure and superfluid dark matter.
Physics Letters B 797, (2019) 134871. - J. Bramburger, D. Altschuler, C. Avery, T. Sangsawang, M. Beck, P. Carter, and B. Sandstede.
Localized radial roll patterns in higher space dimensions.
SIAM Journal on Applied Dynamical Systems 18, (2019) 1420–1453. [Code Repository] - J. Bramburger and F. Lutscher.
Analysis of integrodifference equations with a separable dispersal kernel.
Acta Applicandae Mathematicae 161, (2019) 127-151. - J. Bramburger.
Rotating wave solutions to lattice dynamical systems II: Persistence results.
Journal of Dynamics and Differential Equations 31, (2019) 499-536. - J. Bramburger.
Rotating wave solutions to lattice dynamical systems I: The anti-continuum limit.
Journal of Dynamics and Differential Equations 31, (2019) 469-498. - J. Bramburger.
Stability of infinite systems of coupled oscillators via random walks on weighted graphs.
Transactions of the American Mathematical Society 372, (2019) 1159-1192. - J. Bramburger, B. Dionne, and V.G. LeBlanc.
Zero-Hopf bifurcation in the Van der Pol oscillator with delayed position and velocity feedback.
Nonlinear Dynamics 78, (2014) 2959-2973.