Jason J. Bramburger

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All published works
Action Title Year Authors
+ PDF Chat Localized synchronous patterns in weakly coupled bistable oscillators 2024 Erik Bergland
Jason J. Bramburger
Björn Sandstede
+ 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
+ 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
+ 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
+ PDF Chat Approximate localised dihedral patterns near a turing instability 2023 Dan J. Hill
Jason J. Bramburger
David J. B. Lloyd
+ PDF Chat Saddle transport and chaos in the double pendulum 2023 Kadierdan Kaheman
Jason J. Bramburger
J. Nathan Kutz
Steven L. Brunton
+ Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization 2023 Jason J. Bramburger
Giovanni Fantuzzi
+ Synthesizing Control Laws from Data using Sum-of-Squares Optimization 2023 Jason J. Bramburger
Steven Dahdah
James Richard Forbes
+ Transferability of Graph Neural Networks using Graphon and Sampling Theories 2023 A. Martina Neuman
Jason J. Bramburger
+ 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
+ PDF Chat Deep learning of conjugate mappings 2021 Jason J. Bramburger
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Snaking bifurcations of localized patterns on ring lattices 2021 Moyi Tian
Jason J. Bramburger
Björn Sandstede
+ PDF Chat The Speed of Traveling Waves in a FKPP-Burgers System 2021 Jason J. Bramburger
Christopher Henderson
+ 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
+ Stable periodic solutions to Lambda-Omega lattice dynamical systems 2019 Jason J. Bramburger
+ PDF Chat Ultracontractive Properties for Directed Graph Semigroups with Applications to Coupled Oscillators 2019 Jason J. Bramburger
+ PDF Chat Spatially Localized Structures in Lattice Dynamical Systems 2019 Jason J. Bramburger
Björn Sandstede
+ Dark disk substructure and superfluid dark matter 2019 Stephon Alexander
Jason J. Bramburger
Evan McDonough
+ Novel Substructure and Superfluid Dark Matter 2019 Stephon Alexander
Jason J. Bramburger
Evan McDonough
+ Ultracontractive Properties for Directed Graph Semigroups with Applications to Coupled Oscillators 2019 Jason J. Bramburger
+ 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
+ PDF Chat Rotating Wave Solutions to Lattice Dynamical Systems I: The Anti-continuum Limit 2018 Jason J. Bramburger
+ PDF Chat Rotating Wave Solutions to Lattice Dynamical Systems II: Persistence Results 2018 Jason J. Bramburger
+ Stability of infinite systems of coupled oscillators via random walks on weighted graphs 2018 Jason J. Bramburger
+ Existence of Rotating Waves on an Infinite Two-Dimensional Lattice of Coupled Phase Equations 2016 Jason J. Bramburger
+ 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
+ Zero-Hopf bifurcation in the Van der Pol oscillator with delayed position and velocity feedback 2014 Jason J. Bramburger
B. Dionne
Victor G. LeBlanc
+ 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
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