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Jason J. Bramburger
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All published works
Action
Title
Year
Authors
+
PDF
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Localized synchronous patterns in weakly coupled bistable oscillators
2024
Erik Bergland
Jason J. Bramburger
Björn Sandstede
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PDF
Chat
Real-Time Motion Detection Using Dynamic Mode Decomposition
2024
Marco Mignacca
Simone Brugiapaglia
Jason J. Bramburger
+
PDF
Chat
Localized Multi-Dimensional Patterns
2024
Jason J. Bramburger
Dan J. Hill
David J. B. Lloyd
+
PDF
Chat
Data-driven discovery of invariant measures
2024
Jason J. Bramburger
Giovanni Fantuzzi
+
PDF
Chat
Persistence of steady-states for dynamical systems on large networks
2024
Jason J. Bramburger
Matt Holzer
Jackson Williams
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PDF
Chat
Complex localization mechanisms in networks of coupled oscillators: Two case studies
2024
Zachary G. Nicolaou
Jason J. Bramburger
+
PDF
Chat
The experimental multi-arm pendulum on a cart: A benchmark system for chaos, learning, and control
2023
Kadierdan Kaheman
Urban Fasel
Jason J. Bramburger
Benjamin Strom
J. Nathan Kutz
Steven L. Brunton
+
PDF
Chat
Pattern Formation in Random Networks Using Graphons
2023
Jason J. Bramburger
Matt Holzer
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PDF
Chat
Convex Relaxations of Integral Variational Problems: Pointwise Dual Relaxation and Sum-of-Squares Optimization
2023
Alexander I. Chernyavsky
Jason J. Bramburger
Giovanni Fantuzzi
David Goluskin
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PDF
Chat
Approximate localised dihedral patterns near a turing instability
2023
Dan J. Hill
Jason J. Bramburger
David J. B. Lloyd
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PDF
Chat
Saddle transport and chaos in the double pendulum
2023
Kadierdan Kaheman
Jason J. Bramburger
J. Nathan Kutz
Steven L. Brunton
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Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization
2023
Jason J. Bramburger
Giovanni Fantuzzi
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Synthesizing Control Laws from Data using Sum-of-Squares Optimization
2023
Jason J. Bramburger
Steven Dahdah
James Richard Forbes
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Transferability of Graph Neural Networks using Graphon and Sampling Theories
2023
A. Martina Neuman
Jason J. Bramburger
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Data-driven Discovery of Invariant Measures
2023
Jason J. Bramburger
Giovanni Fantuzzi
+
Complex localization mechanisms in networks of coupled oscillators: two case studies
2023
Zachary G. Nicolaou
Jason J. Bramburger
+
PDF
Chat
The Experimental Multi-Arm Pendulum on a Cart: A Benchmark System for Chaos, Learning, and Control
2022
Kadierdan Kaheman
Urban Fasel
Jason J. Bramburger
Benjamin Strom
J. Nathan Kutz
Steven L. Brunton
+
PDF
Chat
The Experimental Multi-Arm Pendulum on a Cart: A Benchmark System for Chaos, Learning, and Control
2022
Kadierdan Kaheman
Urban Fasel
Jason J. Bramburger
Benjamin Strom
J. Nathan Kutz
Steven L. Brunton
+
PDF
Chat
Deep Learning of Conjugate Mappings
2022
Jason J. Bramburger
+
Approximate localised dihedral patterns near a Turing instability
2022
Dan J. Hill
Jason J. Bramburger
David J. B. Lloyd
+
The Experimental Multi-Arm Pendulum on a Cart: A Benchmark System for Chaos, Learning, and Control
2022
Kadierdan Kaheman
Urban Fasel
Jason J. Bramburger
Benjamin Strom
J. Nathan Kutz
Steven L. Brunton
+
Saddle Transport and Chaos in the Double Pendulum
2022
Kadierdan Kaheman
Jason J. Bramburger
J. Nathan Kutz
Steven L. Brunton
+
Dihedral rings of patterns emerging from a Turing bifurcation
2022
Dan J. Hill
Jason J. Bramburger
David J. B. Lloyd
+
Universal Dynamics of Damped-Driven Systems: The Logistic Map as a Normal Form for Energy Balance
2022
J. Nathan Kutz
Aminur Rahman
Megan R. Ebers
James V. Koch
Jason J. Bramburger
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PDF
Chat
Deep learning of conjugate mappings
2021
Jason J. Bramburger
Steven L. Brunton
J. Nathan Kutz
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PDF
Chat
Snaking bifurcations of localized patterns on ring lattices
2021
Moyi Tian
Jason J. Bramburger
Björn Sandstede
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PDF
Chat
The Speed of Traveling Waves in a FKPP-Burgers System
2021
Jason J. Bramburger
Christopher Henderson
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PDF
Chat
Data-Driven Stabilization of Periodic Orbits
2021
Jason J. Bramburger
J. Nathan Kutz
Steven L. Brunton
+
Pattern Formation in Random Networks Using Graphons
2021
Jason J. Bramburger
Matt Holzer
+
Convex relaxations of integral variational problems: pointwise dual relaxation and sum-of-squares optimization
2021
Alexander I. Chernyavsky
Jason J. Bramburger
Giovanni Fantuzzi
David Goluskin
+
PDF
Chat
Minimum wave speeds in monostable reaction–diffusion equations: sharp bounds by polynomial optimization
2020
Jason J. Bramburger
David Goluskin
+
PDF
Chat
Sparse identification of slow timescale dynamics
2020
Jason J. Bramburger
Daniel Dylewsky
J. Nathan Kutz
+
PDF
Chat
Isolas of multi-pulse solutions to lattice dynamical systems
2020
Jason J. Bramburger
+
Exact minimum speed of traveling waves in a Keller–Segel model
2020
Jason J. Bramburger
+
PDF
Chat
Localized patterns in planar bistable weakly coupled lattice systems
2020
Jason J. Bramburger
Björn Sandstede
+
PDF
Chat
Poincaré maps for multiscale physics discovery and nonlinear Floquet theory
2020
Jason J. Bramburger
J. Nathan Kutz
+
PDF
Chat
Vortex pairs in the discrete nonlinear Schrödinger equation
2020
Jason J. Bramburger
Jesús Cuevas–Maraver
P. G. Kevrekidis
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Stable periodic solutions to Lambda-Omega lattice dynamical systems
2019
Jason J. Bramburger
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PDF
Chat
Ultracontractive Properties for Directed Graph Semigroups with Applications to Coupled Oscillators
2019
Jason J. Bramburger
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PDF
Chat
Spatially Localized Structures in Lattice Dynamical Systems
2019
Jason J. Bramburger
Björn Sandstede
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Dark disk substructure and superfluid dark matter
2019
Stephon Alexander
Jason J. Bramburger
Evan McDonough
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Novel Substructure and Superfluid Dark Matter
2019
Stephon Alexander
Jason J. Bramburger
Evan McDonough
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Ultracontractive Properties for Directed Graph Semigroups with Applications to Coupled Oscillators
2019
Jason J. Bramburger
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PDF
Chat
Localized Radial Roll Patterns in Higher Space Dimensions
2019
Jason J. Bramburger
Dylan J. Altschuler
Chloe I. Avery
Tharathep Sangsawang
Margaret Beck
Paul Carter
Björn Sandstede
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PDF
Chat
Rotating Wave Solutions to Lattice Dynamical Systems I: The Anti-continuum Limit
2018
Jason J. Bramburger
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PDF
Chat
Rotating Wave Solutions to Lattice Dynamical Systems II: Persistence Results
2018
Jason J. Bramburger
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Stability of infinite systems of coupled oscillators via random walks on weighted graphs
2018
Jason J. Bramburger
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Existence of Rotating Waves on an Infinite Two-Dimensional Lattice of Coupled Phase Equations
2016
Jason J. Bramburger
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PDF
Chat
Zero-Hopf bifurcation in the Van der Pol oscillator with delayed position and velocity feedback
2014
Jason J. Bramburger
B. Dionne
Victor G. LeBlanc
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Zero-Hopf bifurcation in the Van der Pol oscillator with delayed position and velocity feedback
2014
Jason J. Bramburger
B. Dionne
Victor G. LeBlanc
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Zero-Hopf bifurcation in the Van der Pol oscillator with delayed position and velocity feedback
2014
Jason J. Bramburger
B. Dionne
Victor G. LeBlanc
Common Coauthors
Coauthor
Papers Together
Steven L. Brunton
8
J. Nathan Kutz
7
Kadierdan Kaheman
6
Giovanni Fantuzzi
5
Björn Sandstede
5
David J. B. Lloyd
4
Urban Fasel
4
Benjamin Strom
4
David Goluskin
3
Victor G. LeBlanc
3
Matt Holzer
3
B. Dionne
3
Dan J. Hill
3
Zachary G. Nicolaou
2
Evan McDonough
2
J. Nathan Kutz
2
Alexander I. Chernyavsky
2
Stephon Alexander
2
Jesús Cuevas–Maraver
1
Moyi Tian
1
Marco Mignacca
1
Simone Brugiapaglia
1
Paul Carter
1
Erik Bergland
1
Daniel Dylewsky
1
Steven Dahdah
1
Margaret Beck
1
James Richard Forbes
1
Megan R. Ebers
1
A. Martina Neuman
1
Aminur Rahman
1
Tharathep Sangsawang
1
James V. Koch
1
Chloe I. Avery
1
J. Nathan Kutz
1
Dylan J. Altschuler
1
J. Nathan Kutz
1
Dan J Hill
1
Christopher Henderson
1
P. G. Kevrekidis
1
Jackson Williams
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
Spatially Localized Structures in Lattice Dynamical Systems
2019
Jason J. Bramburger
Björn Sandstede
7
+
PDF
Chat
Localized patterns in planar bistable weakly coupled lattice systems
2020
Jason J. Bramburger
Björn Sandstede
7
+
Discovering governing equations from data by sparse identification of nonlinear dynamical systems
2016
Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
6
+
Snakes and ladders: Localized states in the Swift–Hohenberg equation
2006
John Burke
Edgar Knobloch
6
+
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
1983
John Guckenheimer
Philip Holmes
5
+
PDF
Chat
Pattern Formation on Networks: from Localised Activity to Turing Patterns
2016
Nick McCullen
Thomas Wagenknecht
5
+
YALMIP : a toolbox for modeling and optimization in MATLAB
2005
Johan Löfberg
5
+
PDF
Chat
Pattern formation on the free surface of a ferrofluid: Spatial dynamics and homoclinic bifurcation
2017
M. D. Groves
David J. B. Lloyd
Athanasios Stylianou
5
+
PDF
Chat
Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian–Hopf bifurcation
1999
P.D. Woods
Alan R. Champneys
5
+
Localized states in the generalized Swift-Hohenberg equation
2006
John Burke
Edgar Knobloch
5
+
PDF
Chat
Poincaré maps for multiscale physics discovery and nonlinear Floquet theory
2020
Jason J. Bramburger
J. Nathan Kutz
5
+
PDF
Chat
Convergence to diffusion waves of solutions for viscous conservation laws
1987
I‐Liang Chern
Tai-Ping Liu
4
+
PDF
Chat
Parabolic Harnack inequality and estimates of Markov chains on graphs
1999
Thierry Delmotte
4
+
PDF
Chat
Discovery of Nonlinear Multiscale Systems: Sampling Strategies and Embeddings
2019
Kathleen Champion
Steven L. Brunton
J. Nathan Kutz
4
+
PDF
Chat
Snaking and isolas of localised states in bistable discrete lattices
2010
Chris Taylor
Jonathan Dawes
4
+
PDF
Chat
Multistable solitons in higher-dimensional cubic–quintic nonlinear Schrödinger lattices
2008
Christopher Chong
R. Carretero-González
Boris A. Malomed
P. G. Kevrekidis
4
+
PDF
Chat
Pre- and Post-Processing Sum-of-Squares Programs in Practice
2009
Johan Löfberg
4
+
PDF
Chat
Data-driven discovery of partial differential equations
2017
Samuel Rudy
Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
4
+
Dynamics of Spiral Waves on Unbounded Domains Using Center-Manifold Reductions
1997
Björn Sandstede
Arnd Scheel
Claudia Wulff
4
+
PDF
Chat
Minimum wave speeds in monostable reaction–diffusion equations: sharp bounds by polynomial optimization
2020
Jason J. Bramburger
David Goluskin
3
+
PDF
Chat
Bounding Averages Rigorously Using Semidefinite Programming: Mean Moments of the Lorenz System
2017
David Goluskin
3
+
PDF
Chat
Isolas of multi-pulse solutions to lattice dynamical systems
2020
Jason J. Bramburger
3
+
Modeling and nonlinear parameter estimation with Kronecker product representation for coupled oscillators and spatiotemporal systems
2006
Chen Yao
Erik M. Bollt
3
+
Exchange lemmas 1: Deng's lemma
2007
Stephen Schecter
3
+
PDF
Chat
Manifolds and graphs with slow heat kernel decay
2001
Martin T. Barlow
Thierry Coulhon
Alexander Grigor'yan
3
+
PDF
Chat
Some NP-complete problems in quadratic and nonlinear programming
1987
Katta G. Murty
Santosh N. Kabadi
3
+
PDF
Chat
SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics
2020
Kadierdan Kaheman
J. Nathan Kutz
Steven L. Brunton
3
+
PDF
Chat
Bounds on mean energy in the Kuramoto–Sivashinsky equation computed using semidefinite programming
2019
David Goluskin
Giovanni Fantuzzi
3
+
PDF
Chat
Data-Driven Stabilization of Periodic Orbits
2021
Jason J. Bramburger
J. Nathan Kutz
Steven L. Brunton
3
+
Global Optimization with Polynomials and the Problem of Moments
2001
Jean B. Lasserre
3
+
PDF
Chat
A Unified Framework for Sparse Relaxed Regularized Regression: SR3
2018
Peng Zheng
Travis Askham
Steven L. Brunton
J. Nathan Kutz
Aleksandr Y. Aravkin
3
+
PDF
Chat
On the Convergence of the SINDy Algorithm
2019
Linan Zhang
Hayden Schaeffer
3
+
PDF
Chat
Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
2010
Matthias Keller
Daniel Lenz
3
+
PDF
Chat
Rotating Wave Solutions to Lattice Dynamical Systems I: The Anti-continuum Limit
2018
Jason J. Bramburger
3
+
PDF
Chat
Patterns and localized structures in bistable semiconductor resonators
2000
V. B. Taranenko
I. Ganne
R. Kuszelewicz
C. O. Weiß
3
+
PDF
Chat
Homoclinic snaking in the discrete Swift-Hohenberg equation
2017
Rudy Kusdiantara
H. Susanto
3
+
Spatially localized quasicrystalline structures
2018
Priya Subramanian
Andrew J. Archer
Edgar Knobloch
A. M. Rucklidge
3
+
PDF
Chat
Variational approximations of bifurcations of asymmetric solitons in cubic-quintic nonlinear Schrödinger lattices
2010
Christopher Chong
Dmitry E. Pelinovsky
3
+
PDF
Chat
Sums of Squares, Moment Matrices and Optimization Over Polynomials
2008
Monique Laurent
3
+
Bifurcations and Dynamics of Spiral Waves
1999
Björn Sandstede
Arnd Scheel
Claudia Wulff
3
+
PDF
Chat
Lattice Symmetry-Breaking Perturbations for Spiral Waves
2014
Laurent Charette
Victor G. LeBlanc
3
+
Hotspot formation and dynamics for a continuum model of urban crime
2015
W.-H. Tse
Michael J. Ward
3
+
Hardy-Littlewood theory for semigroups
1985
N. Th. Varopoulos
3
+
PDF
Chat
The emergence of a coherent structure for coherent structures: localized states in nonlinear systems
2010
Jonathan Dawes
3
+
PDF
Chat
Discovering Conservation Laws from Data for Control
2018
Eurika Kaiser
J. Nathan Kutz
Steven L. Brunton
3
+
PDF
Chat
Sub-Gaussian estimates of heat kernels on infinite graphs
2001
Alexander Grigor’yan
András Telcs
3
+
PDF
Chat
Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
1998
Erik S. Van Vleck
John Mallet‐Paret
John W. Cahn
3
+
PDF
Chat
Isolas of 2-Pulse Solutions in Homoclinic Snaking Scenarios
2010
Jürgen Knobloch
David J. B. Lloyd
Björn Sandstede
Thomas Wagenknecht
3
+
Multi-dimensional stability of waves travelling through rectangular lattices in rational directions
2015
A. Hoffman
Hermen Jan Hupkes
Erik S. Van Vleck
3
+
PDF
Chat
Snaking bifurcations of localized patterns on ring lattices
2021
Moyi Tian
Jason J. Bramburger
Björn Sandstede
3