Björn Sandstede | Academic Influence

Björn Sandstede's AcademicInfluence.com Rankings

Björn Sandstede

Mathematics

#4485

World Rank

#6362

Historical Rank

#1540

USA Rank

Applied Mathematics

#163

World Rank

#181

Historical Rank

#61

USA Rank

Measure Theory

#2728

World Rank

#3259

Historical Rank

#785

USA Rank

mathematics Degrees

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Mathematics

Björn Sandstede's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Björn Sandstede Influential?

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According to Wikipedia, Björn Sandstede is a German applied mathematician. He is currently the Alumni-Alumnae University Professor of Applied Mathematics at Brown University, where he serves as chair of the department. Sandstede earned his Dr. rer. nat. in 1993 from the University of Stuttgart, under the supervision of Bernold Fiedler.

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Björn Sandstede's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Chapter 18 - Stability of Travelling Waves (2002) (342)
Absolute and convective instabilities of waves on unbounded and large bounded domains (2000) (242)
Homoclinic and heteroclinic bifurcations in vector fields (2010) (212)
A numerical toolbox for homoclinic bifurcation analysis (1996) (205)
Localized Hexagon Patterns of the Planar Swift-Hohenberg Equation (2008) (177)
Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems (2004) (177)
Snakes, Ladders, and Isolas of Localized Patterns (2009) (151)
Chapter 4 – Numerical Continuation, and Computation of Normal Forms (2002) (137)
The Dynamics of Modulated Wave Trains (2009) (133)
Stability of multiple-pulse solutions (1998) (130)
Computing absolute and essential spectra using continuation (2007) (129)
Fast and Slow Waves in the FitzHugh–Nagumo Equation (1997) (123)
Defects in Oscillatory Media: Toward a Classification (2004) (122)
Exponential Dichotomies for Solitary-Wave Solutions of Semilinear Elliptic Equations on Infinite Cylinders (1997) (115)
Dynamics of Spiral Waves on Unbounded Domains Using Center-Manifold Reductions (1997) (115)
To Snake or Not to Snake in the Planar Swift-Hohenberg Equation (2010) (105)
Bifurcations and Dynamics of Spiral Waves (1999) (99)
On the Structure of Spectra of Modulated Travelling Waves (2001) (92)
Theory of passive harmonic mode-locking using waveguide arrays. (2008) (86)
On the Stability of Periodic Travelling Waves with Large Spatial Period (2001) (84)
The Evans function for nonlocal equations (2004) (83)
Localized radial solutions of the Swift–Hohenberg equation (2009) (78)
Modelling stripe formation in zebrafish: an agent-based approach (2015) (72)
Snaking of radial solutions of the multi-dimensional Swift–Hohenberg equation: A numerical study (2010) (72)
Constructing dynamical systems having homoclinic bifurcation points of codimension two (1997) (71)
Relative Morse indices, Fredholm indices, and group velocities (2007) (68)
Exponential dichotomies for linear non-autonomous functional differential equations of mixed type (2002) (65)
Edge Bifurcations for Near Integrable Systems via Evans Function Techniques (2002) (64)
Stability of pulses in the master mode-locking equation (2002) (64)
Convergence in general periodic parabolic equations in one space dimension (1992) (64)
Propagation of hexagonal patterns near onset (2003) (60)
Existence and stability of N -pulses on optical fibers with phase-sensitive amplifiers (1997) (60)
Evans function and blow-u[ methods in critical eienvalue problems (2004) (58)
Evans Functions and Nonlinear Stability of Traveling Waves in Neuronal Network Models (2007) (57)
Efficient Computation of Analytic Bases in Evans Function Analysis of Large Systems (2006) (56)
Convergence estimates for the numerical approximation of homoclinic solutions (1997) (55)
Gromov-Wasserstein optimal transport to align single-cell multi-omics data (2020) (52)
Gluing unstable fronts and backs together can produce stable pulses (2000) (51)
Diffusive mixing of periodic wave trains in reaction–diffusion systems (2011) (51)
Instability of localized buckling modes in a one-dimensional strut model (1997) (48)
Essential instabilities of fronts: bifurcation, and bifurcation failure (2001) (48)
Instability mechanism for bright solitary-wave solutions to the cubic–quintic Ginzburg–Landau equation (1998) (47)
Essential instability of pulses and bifurcations to modulated travelling waves (1999) (46)
Iridophores as a source of robustness in zebrafish stripes and variability in Danio patterns (2018) (46)
Topological data analysis of zebrafish patterns (2019) (45)
Fast Pulses with Oscillatory Tails in the FitzHugh-Nagumo System (2015) (44)
Stability of pulses on optical fibers with phase-sensitive amplifiers (1997) (43)
Numerical Computation of Coherent Structures (2007) (42)
Planar Radial Spots in a Three-Component FitzHugh–Nagumo System (2011) (42)
Eigenvalues and resonances using the Evans function (2004) (41)
Superspiral structures of meandering and drifting spiral waves. (2001) (41)
Traveling Pulse Solutions for the Discrete FitzHugh-Nagumo System (2010) (41)
A non-transverse homoclinic orbit to a saddle-node equilibrium (1996) (40)
Dynamics of periodically forced parabolic equations on the circle (1992) (38)
Stability of Pulse Solutions for the Discrete FitzHugh{Nagumo System (2012) (37)
Stability of Traveling Pulses with Oscillatory Tails in the FitzHugh–Nagumo System (2016) (37)
Stability of N -fronts bifurcating from a twisted heteroclinic loop and an application to the FitzHugh-Nagumo equation (1998) (35)
Numerical Computation of Solitary Waves in Infinite Cylindrical Domains (2000) (34)
Period-Doubling of Spiral Waves and Defects (2007) (34)
A Hybrid Particle-Ensemble Kalman Filter for Lagrangian Data Assimilation (2015) (34)
Melnikov theory for finite-time vector fields (2000) (34)
Isolas of 2-Pulse Solutions in Homoclinic Snaking Scenarios (2011) (32)
Hopf Bifurcation From Viscous Shock Waves (2008) (32)
Spots in the Swift-Hohenberg Equation (2013) (31)
VISCOUS PERTURBATIONS OF VORTICITY-CONSERVING FLOWS AND SEPARATRIX SPLITTING (1998) (30)
Geometry-Dependent Arrhythmias in Electrically Excitable Tissues. (2018) (30)
Center-manifold reduction for spiral waves (1997) (30)
Propagation failure in the discrete Nagumo equation (2011) (30)
Nonlinear Stability of Time-Periodic Viscous Shocks (2008) (30)
Spectral stability of modulated travelling waves bifurcating near essential instabilities (2000) (30)
Center Manifolds for Homoclinic Solutions (2000) (29)
Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system (2014) (28)
Forced symmetry breaking of homoclinic cycles (1995) (28)
Predicting the bifurcation structure of localized snaking patterns (2014) (27)
Frequency regions for forced locking of self-pulsating multi-section DFB lasers (1998) (26)
Invariant manifolds and global bifurcations. (2015) (26)
SCOT: Single-Cell Multi-Omics Alignment with Optimal Transport (2022) (22)
Evans functions for periodic waves on infinite cylindrical domains (2010) (22)
Absolute instabilities of standing pulses (2005) (20)
Nonlinear stability of source defects in the complex Ginzburg–Landau equation (2013) (20)
Nonlinear Convective Instability of Turing-Unstable Fronts near Onset: A Case Study (2007) (18)
Unpeeling a Homoclinic Banana in the FitzHugh-Nagumo System (2018) (18)
Snakes and isolas in non-reversible conservative systems (2012) (17)
Optimizing Waveguide Array Mode-Locking for High-Power Fiber Lasers (2009) (17)
Nonlinear Stability of Semidiscrete Shocks for Two-Sided Schemes (2010) (17)
Theory and simulation of the dynamics and stability of actively modelocked lasers (2002) (16)
Spatially Localized Structures in Lattice Dynamical Systems (2019) (16)
Analysis of Active Transport by Fluorescence Recovery after Photobleaching. (2017) (16)
All-Optical Clock Recovery Using Multisection Distributed-Feedback Lasers (1999) (15)
Curvature effects on spiral spectra: generation of point eigenvalues near branch points. (2006) (15)
Basin boundaries and bifurcations near convective instabilities: a case study (2005) (13)
Using in vivo imaging to measure RNA mobility in Xenopus laevis oocytes. (2016) (13)
Oscillons in the planar Ginzburg–Landau equation with 2 : 1 forcing (2014) (13)
A Functional Data Method for Causal Dynamic Network Modeling of Task-Related fMRI (2019) (12)
Dynamical Behavior of Patterns with Euclidean Symmetry (1999) (11)
Modulated Wave Trains in Lattice Differential Systems (2009) (11)
Bifurcation from relative equilibria of . . . (1996) (11)
Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems (2019) (11)
Localized Radial Roll Patterns in Higher Space Dimensions (2019) (11)
Existence and stability of spatially localized patterns (2019) (11)
Spiral Waves: Linear and Nonlinear Theory (2020) (10)
Assimilating Eulerian and Lagrangian data in traffic-flow models (2017) (10)
Modeling Microtubule-Based Transport and Anchoring of mRNA (2018) (10)
Uniqueness of solitary waves in the high-energy limit of FPU-type chains (2017) (10)
Localized patterns in planar bistable weakly coupled lattice systems (2020) (10)
Determining the Source of Period-Doubling Instabilities in Spiral Waves (2019) (10)
HomCont: An auto86 driver for homoclinic bifurcation analysis. Version 2.0 (1995) (9)
Regularity of Center Manifolds via the Graph Transform (2015) (9)
Existence of Multi-Pulses of the Regularized Short-Pulse and Ostrovsky Equations (2009) (9)
Modeling Stripe Formation on Growing Zebrafish Tailfins (2019) (9)
Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory (2005) (8)
Towards nonlinear stability of sources via a modified Burgers equation (2011) (8)
Diffusive stability against nonlocalized perturbations of planar wave trains in reaction–diffusion systems (2018) (7)
Detecting Shared Genetic Architecture Among Multiple Phenotypes by Hierarchical Clustering of Gene-Level Association Statistics (2020) (7)
A plethora of three-dimensional periodic travelling gravity-capillary water waves with multipulse transverse profiles (2004) (7)
Isolas Versus Snaking of Localized Rolls (2019) (7)
Coexistence of stable spots and fronts in a three-component FitzHugh-Nagumo system (2012) (6)
Mixing in Reaction-Diffusion Systems: Large Phase Offsets (2016) (6)
Homoclinic Flip Bifurcations in Conservative Reversible Systems (2013) (6)
Pulse Replication and Accumulation of Eigenvalues (2020) (6)
Determining stability of pulses for partial differential equations with time delays (2005) (6)
From Unbounded to Bounded Domains: The Fate of Point and Essential Spectrum (1999) (5)
State selection in the noisy stabilized Kuramoto-Sivashinsky equation. (2009) (5)
Unsupervised Integration of Single-Cell Multi-omics Datasets with Disproportionate Cell-Type Representation (2022) (5)
Unsupervised integration of single-cell multi-omics datasets with disparities in cell-type representation (2021) (5)
Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry (2020) (4)
Perturbations of embedded eigenvalues for the planar bilaplacian (2010) (4)
Snaking bifurcations of localized patterns on ring lattices (2021) (4)
Multi-hump pulses in systems with reflection and phase invariance (2009) (4)
Perturbations of embedded eigenvalues for the bilaplacian on a cylinder (2008) (4)
Multijam Solutions in Traffic Models with Velocity-Dependent Driver Strategies (2014) (4)
A SIMPLE MATHEMATICAL MODEL FOR BATESIAN MIMICRY (2005) (3)
Localized patterns in planar bistable lattice systems (2019) (3)
All-Optical Clock Recovery Using Multi-Section Distributed-Feedback Lasers (1998) (3)
Enabling Equation-Free Modeling via Diffusion Maps (2021) (3)
Stability of multiple pulses in optical fibers with phase-sensitive amplification and noise (2001) (3)
Nonlinear stability of source defects in oscillatory media (2018) (2)
A Reformulated Krein Matrix for Star-Even Polynomial Operators with Applications (2019) (2)
A Plethora of Three-Dimensional Periodic Travelling Gravity-Capillary Water Waves with Multipulse Transverse Profiles (2004) (2)
Single-Cell Multiomics Integration by SCOT (2022) (2)
Absolute and convective stability in large domains (2000) (2)
SCOTv2: Single-Cell Multiomic Alignment with Disproportionate Cell-Type Representation (2022) (2)
Lagrangian data assimilation in traffic-flow models (2016) (1)
Stable multiple pulses in optical fibers with phase-sensitive amplification (1998) (1)
Crowdsourcing Classroom Observations to Identify Misconceptions in Data Science (2020) (1)
Time-dependent Canonical Correlation Analysis for Multilevel Time Series (2019) (1)
Behavior of Spiral Wave Spectra with a Rank-Deficient Diffusion Matrix (2021) (1)
Hierarchical clustering of gene-level association statistics reveals shared and differential genetic architecture among traits in the UK Biobank (2019) (1)
Modeling the formation of stripes in zebrafish (2015) (0)
Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems (2021) (0)
Detecting Shared Genetic Architecture Among Multiple Phenotypes by Hierarchical Clustering of Gene-Level Association Statistics. (2020) (0)
Geometry-dependent instabilities in electrically excitable tissues (2018) (0)
Isolas Versus Snaking of Localized Rolls (2017) (0)
Influenza spread on context-specific social networks (2016) (0)
Spatially Localized Structures in Lattice Dynamical Systems (2019) (0)
Case study : Localized rolls in the one-dimensional Swift – Hohenberg equation (2012) (0)
A Novel Corpus of Discourse Structure in Humans and Computers (2021) (0)
Dynamics of Patterns (2008) (0)
Quantifying different modeling frameworks using topological data analysis: a case study with zebrafish patterns (2022) (0)
Truncation of contact defects in reaction-diffusion systems (2023) (0)
Evaluation EDISON's data science competency framework through a comparative literature analysis (2021) (0)
Geometric Methods for Infinite-Dimensional Dynamical Systems (2012) (0)
SIAM Conference on Applications of Dynamical Systems (8th) Held in Snowbird, Utah on 22-26 May 2005 (2005) (0)
Mixing in Reaction-Diffusion Systems: Large Phase Offsets (2019) (0)
Topological Data Analysis of Spatial Patterning in Heterogeneous Cell Populations: I. Clustering and Sorting with Varying Cell-Cell Adhesion (2022) (0)
Iridophores as a source of robustness in zebrafish stripes and variability in Danio patterns (2018) (0)
The Drift of #MyBodyMyChoice Discourse on Twitter (2022) (0)
Mathematical Modeling of Oceanic Phytoplankton Blooms in Chaotic Flows (2015) (0)
MICROSCOPIC IRREVERSIBILITY (2003) (0)
M ar 2 01 0 State selection in the noisy stabilized Kuramoto Sivashinsky equation (2021) (0)
Brown University Division of Applied Mathematics The Interpolation of Gravitational Waveforms (2012) (0)
Corrigendum to “Diffusive stability against nonlocalized perturbations of planar wave trains in reaction–diffusion systems” [J. Differ. Equ. 265 (10) (2018) 5315–5351] (2021) (0)
Stability of Traveling Pulses with Oscillatory Tails in the FitzHugh–Nagumo System (2016) (0)
All-Optical Clock Recovery Using Multi-SectionDistributed-Feedback (1998) (0)
Di ff usive stability against nonlocalized perturbations of planar wave trains in reaction-di ff usion systems (2018) (0)
Dynamics of Passive Harmonic Mode-Locking (2007) (0)
Computing the Evans function via solving a linear boundary value ODE (2015) (0)
Regularity of Center Manifolds via the Graph Transform (2015) (0)
Influenza spread on context-specific networks lifted from interaction-based diary data (2021) (0)

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