Bramburger

Assistant Professor

Concordia University

- J. Bramburger.

Data-Driven Methods for Dynamic Systems.**Society for Industrial and Applied Math (SIAM)**, 2024. [Code Repository]

- E. Bergland, J. Bramburger, and B. Sandstede.

Localized synchronous patterns in weakly coupled bistable oscillators. - M. Mignacca, S. Brugiapaglia, and J. Bramburger.

Real-time motion detection using dynamic mode decomposition. [Code Repository] - J. Bramburger, D. Hill, and D. Lloyd.

Localized multi-dimensional patterns. - J. Bramburger, M. Holzer, and J. Williams.

Persistence of steady-states for dynamical systems on large networks. - A.M. Neuman and J. Bramburger.

Transferability of graph neural networks using graphon and sampling theories. - J.N. Kutz, A. Rahman, M. Ebers, J. Koch, and J. Bramburger.

Universal dynamics of damped-driven systems: The logistic map as a normal form for energy balance.

- 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.

- J. Bramburger, S. Dahdah, and J. Forbes.

Synthesizing control laws from data using sum-of-squares optimization.**2024 IEEE Conference on Control Technology and Applications (CCTA)**Newcastle upon Tyne, UK, 2024. [Code Repository]

- J. Bramburger.

Data-driven system analysis using polynomial optimization and the Koopman operator.**Oberwolfach Reports**35, (2024) 33-34. - J. Bramburger, C. Budd, J. Hu, and A. Wan.

Structured machine learning and timestepping for dynamical systems (24w5301).**BIRS Report**, (2024). - J. Bramburger.

Localized patterns on graphs: The influence of dimension and topology on pattern formation.**Oberwolfach Reports**37, (2021) 16-17.

- J. Bramburger.

The emerging utility of graphons in applied math.**SIAM News**56, (2023). - J. Bramburger.

Patterns and waves in theory, experiment, and application.**Snapshot of Modern Mathematics from Oberwolfach**(2023).

- J. Bramburger.

On the existence and stability of rotating wave solutions to lattice dynamical systems.**Ph.D. Thesis**, University of Ottawa, 2017. - J. Bramburger.

Steady-state/Hopf interactions in the Van der Pol oscillator with delayed feedback.**M.Sc. Thesis**, University of Ottawa, 2013.