A Functional Data Method for Causal Dynamic Network Modeling of Task-Related fMRI

scientific article published on 27 February 2019

A Hybrid Particle–Ensemble Kalman Filter for Lagrangian Data Assimilation

article published in 2015

A plethora of three-dimensional periodic travelling gravity-capillary water waves with multipulse transverse profiles

Absolute and convective instabilities of waves on unbounded and large bounded domains

Absolute instabilities of standing pulses

Absolute versus convective instability of spiral waves

scientific article published in December 2000

All-Optical Clock Recovery Using Multisection Distributed-Feedback Lasers

Analysis of Active Transport by Fluorescence Recovery after Photobleaching

scientific article published on April 2017

Assimilating Eulerian and Lagrangian data in traffic-flow models

Basin boundaries and bifurcations near convective instabilities: a case study

Bifurcations and Dynamics of Spiral Waves

article

Bifurcations to travelling planar spots in a three-component FitzHugh–Nagumo system

Center-manifold reduction for spiral waves

Computing absolute and essential spectra using continuation

Convergence in general periodic parabolic equations in one space dimension

Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems

Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems

Curvature effects on spiral spectra: generation of point eigenvalues near branch points.

scientific article published on 24 January 2006

Defects in Oscillatory Media: Toward a Classification

article published in 2004

Detecting Shared Genetic Architecture Among Multiple Phenotypes by Hierarchical Clustering of Gene-Level Association Statistics

scientific article published on 03 April 2020

Determining stability of pulses for partial differential equations with time delays

Diffusive mixing of periodic wave trains in reaction–diffusion systems

Diffusive stability against nonlocalized perturbations of planar wave trains in reaction–diffusion systems

Dynamics of Spiral Waves on Unbounded Domains Using Center-Manifold Reductions

Edge Bifurcations for Near Integrable Systems via Evans Function Techniques

Efficient Computation of Analytic Bases in Evans Function Analysis of Large Systems

Enabling Equation-Free Modeling via Diffusion Maps

scientific article published in 2022

Essential instabilities of fronts: bifurcation, and bifurcation failure

Evans functions for periodic waves on infinite cylindrical domains

Existence and stability of N-pulses on optical fibers with phase-sensitive amplifiers

Existence and stability of spatially localized patterns

Existence of Multi-Pulses of the Regularized Short-Pulse and Ostrovsky Equations

Exponential Dichotomies for Solitary-Wave Solutions of Semilinear Elliptic Equations on Infinite Cylinders

Exponential dichotomies for linear non-autonomous functional differential equations of mixed type

Fast Pulses with Oscillatory Tails in the FitzHugh--Nagumo System

Fast and Slow Waves in the FitzHugh–Nagumo Equation

Forced symmetry breaking of homoclinic cycles

Frequency regions for forced locking of self-pulsating multi-section DFB lasers

Geometry-Dependent Arrhythmias in Electrically Excitable Tissues

scientific article published on 03 October 2018

Gluing unstable fronts and backs together can produce stable pulses

Homoclinic Flip Bifurcations in Conservative Reversible Systems

Hopf Bifurcation From Viscous Shock Waves

Instability mechanism for bright solitary-wave solutions to the cubic–quintic Ginzburg–Landau equation

article published in 1998

Instability of localized buckling modes in a one-dimensional strut model

Instability of multiple pulses in coupled nonlinear Schrodinger equations

scientific article published in May 2000

Invariant manifolds and global bifurcations

scientific article published in September 2015

Iridophores as a source of robustness in zebrafish stripes and variability in Danio patterns

scientific article published in Nature Communications

Isolas Versus Snaking of Localized Rolls

Isolas of 2-Pulse Solutions in Homoclinic Snaking Scenarios

Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation

Localized radial solutions of the Swift–Hohenberg equation

Melnikov theory for finite-time vector fields

Modeling Microtubule-Based Transport and Anchoring of mRNA

Modelling stripe formation in zebrafish: an agent-based approach

scientific article published in November 2015

Modulated Wave Trains in Lattice Differential Systems

Multi-hump pulses in systems with reflection and phase invariance

article

Multijam Solutions in Traffic Models with Velocity-Dependent Driver Strategies

Nonlinear Convective Instability of Turing‐Unstable Fronts near Onset: A Case Study

Nonlinear Stability of Semidiscrete Shocks for Two-Sided Schemes

Nonlinear Stability of Time-Periodic Viscous Shocks

Nonlinear convective stability of travelling fronts near Turing and Hopf instabilities

Nonlinear stability of source defects in the complex Ginzburg–Landau equation

Numerical Computation of Solitary Waves in Infinite Cylindrical Domains

article by Gabriel J. Lord et al published January 2000 in SIAM Journal on Numerical Analysis

On the Stability of Periodic Travelling Waves with Large Spatial Period

On the Structure of Spectra of Modulated Travelling Waves

Oscillons in the planar Ginzburg–Landau equation with 2 : 1 forcing

Period-Doubling of Spiral Waves and Defects

Perturbations of embedded eigenvalues for the planar bilaplacian

Planar Radial Spots in a Three-Component FitzHugh–Nagumo System

Predicting the bifurcation structure of localized snaking patterns

Propagation failure in the discrete Nagumo equation

Regularity of Center Manifolds via the Graph Transform

Snakes and isolas in non-reversible conservative systems

Snakes, Ladders, and Isolas of Localized Patterns

Snaking of radial solutions of the multi-dimensional Swift–Hohenberg equation: A numerical study

article published in 2010

Spectral stability of modulated travelling waves bifurcating near essential instabilities

Spots in the Swift--Hohenberg Equation

Stability of N-Fronts Bifurcating from a Twisted Heteroclinic Loop and an Application to the Fitzhugh--Nagumo Equation

Stability of Traveling Pulses with Oscillatory Tails in the FitzHugh–Nagumo System

Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations

article published in 1998

Stability of multiple pulses in optical fibers with phase-sensitive amplification and noise

Stability of pulse solutions for the discrete FitzHugh–Nagumo system

Stability of pulses in the master mode-locking equation

article published in 2002

Stability of pulses on optical fibers with phase-sensitive amplifiers

scholarly article by J. C. Alexander et al published March 1997 in Zeitschrift fuer Angewandte Mathematik und Physik

State selection in the noisy stabilized Kuramoto-Sivashinsky equation.

scientific article published on 9 June 2010

Superspiral structures of meandering and drifting spiral waves.

scientific article published in January 2001

The Evans function for nonlocal equations

Theory and simulation of the dynamics and stability of actively modelocked lasers

Theory of passive harmonic mode-locking using waveguide arrays

scientific article

To Snake or Not to Snake in the Planar Swift–Hohenberg Equation

Topological data analysis of zebrafish patterns

scientific article published on 25 February 2020

Towards nonlinear stability of sources via a modified Burgers equation

Traveling Pulse Solutions for the Discrete FitzHugh–Nagumo System

Unpeeling a Homoclinic Banana in the FitzHugh--Nagumo System

Using in vivo imaging to measure RNA mobility in Xenopus laevis oocytes.

scientific article published on 3 November 2015

Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory

Viscous perturbations of vorticity-conserving flows and separatrix splitting