| Publication | Date of Publication | Type |
|---|
| Enabling equation-free modeling via diffusion maps | 2024-03-14 | Paper |
| Parameter identifiability in PDE models of fluorescence recovery after photobleaching | 2024-03-11 | Paper |
| Truncation of Contact Defects in Reaction-Diffusion Systems | 2024-01-29 | Paper |
| Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns | 2023-12-02 | Paper |
| Spiral Waves: Linear and Nonlinear Theory | 2023-05-30 | Paper |
| Unsupervised integration of single-cell multi-omics datasets with disproportionate cell-type representation | 2022-08-30 | Paper |
| Behavior of Spiral Wave Spectra with a Rank-Deficient Diffusion Matrix | 2022-07-26 | Paper |
| Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry | 2022-07-26 | Paper |
| Localized radial roll patterns in higher space dimensions | 2022-03-21 | Paper |
| Spatially Localized Structures in Lattice Dynamical Systems | 2022-03-21 | Paper |
| Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems | 2022-03-17 | Paper |
| Snaking bifurcations of localized patterns on ring lattices | 2022-01-05 | Paper |
| Pulse Replication and Accumulation of Eigenvalues | 2021-07-21 | Paper |
| Topological data analysis of zebrafish patterns | 2021-03-12 | Paper |
| Corrigendum to: ``Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems | 2020-12-29 | Paper |
| Reprint of: ``Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems | 2020-12-29 | Paper |
| A Reformulated Krein Matrix for Star-Even Polynomial Operators with Applications | 2020-10-21 | Paper |
| Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry | 2020-10-12 | Paper |
| Localized patterns in planar bistable weakly coupled lattice systems | 2020-06-11 | Paper |
| Spatially localized structures in lattice dynamical systems | 2020-04-17 | Paper |
| Localized Radial Roll Patterns in Higher Space Dimensions | 2019-10-28 | Paper |
| Isolas versus snaking of localized rolls | 2019-08-15 | Paper |
| Assimilating Eulerian and Lagrangian data in traffic-flow models | 2019-07-01 | Paper |
| Determining the source of period-doubling instabilities in spiral waves | 2019-05-29 | Paper |
| Mixing in reaction-diffusion systems: large phase offsets | 2019-05-07 | Paper |
| Modeling Microtubule-Based Transport and Anchoring of mRNA | 2018-12-20 | Paper |
| Existence and stability of spatially localized patterns | 2018-12-03 | Paper |
| Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems | 2018-09-04 | Paper |
| Unpeeling a Homoclinic Banana in the FitzHugh--Nagumo System | 2018-03-15 | Paper |
| Computing Evans functions numerically via boundary-value problems | 2018-02-22 | Paper |
| Nonlinear stability of source defects in oscillatory media | 2018-02-21 | Paper |
| Invariant manifolds and global bifurcations | 2017-11-17 | Paper |
| Stability of traveling pulses with oscillatory tails in the FitzHugh-Nagumo system | 2016-11-30 | Paper |
| Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system | 2016-07-28 | Paper |
| Regularity of center manifolds via the graph transform | 2016-05-12 | Paper |
| Fast Pulses with Oscillatory Tails in the FitzHugh--Nagumo System | 2015-09-24 | Paper |
| Homoclinic Flip Bifurcations in Conservative Reversible Systems | 2015-06-05 | Paper |
| Multijam Solutions in Traffic Models with Velocity-Dependent Driver Strategies | 2015-04-17 | Paper |
| Oscillons in the planar Ginzburg–Landau equation with 2 : 1 forcing | 2015-01-05 | Paper |
| Nonlinear stability of source defects in the complex Ginzburg–Landau equation | 2014-05-15 | Paper |
| Predicting the bifurcation structure of localized snaking patterns | 2014-05-05 | Paper |
| Spots in the Swift--Hohenberg Equation | 2014-01-22 | Paper |
| Stability of pulse solutions for the discrete FitzHugh–Nagumo system | 2013-04-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3144574 | 2012-12-08 | Paper |
| Snakes and isolas in non-reversible conservative systems | 2012-11-09 | Paper |
| Towards nonlinear stability of sources via a modified Burgers equation | 2012-04-19 | Paper |
| Diffusive mixing of periodic wave trains in reaction-diffusion systems | 2012-03-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3099080 | 2011-12-01 | Paper |
| Planar radial spots in a three-component FitzHugh-Nagumo system | 2011-11-25 | Paper |
| Propagation failure in the discrete Nagumo equation | 2011-10-17 | Paper |
| Isolas of 2-pulse solutions in homoclinic snaking scenarios | 2011-04-08 | Paper |
| Nonlinear Stability of Semidiscrete Shocks for Two-Sided Schemes | 2011-03-25 | Paper |
| Perturbations of embedded eigenvalues for the planar bilaplacian | 2010-12-10 | Paper |
| Snaking of radial solutions of the multi-dimensional Swift-Hohenberg equation: a numerical study | 2010-08-19 | Paper |
| Traveling Pulse Solutions for the Discrete FitzHugh–Nagumo System | 2010-07-26 | Paper |
| Nonlinear stability of time-periodic viscous shocks | 2010-07-06 | Paper |
| Snakes, Ladders, and Isolas of Localized Patterns | 2010-06-02 | Paper |
| Existence of multi-pulses of the regularized short-pulse and Ostrovsky equations | 2010-01-29 | Paper |
| Evans functions for periodic waves on infinite cylindrical domains | 2010-01-15 | Paper |
| Modulated wave trains in lattice differential systems | 2009-10-14 | Paper |
| Multi-hump pulses in systems with reflection and phase invariance | 2009-09-28 | Paper |
| The dynamics of modulated wave trains | 2009-07-13 | Paper |
| Nonlinear convective stability of travelling fronts near Turing and Hopf instabilities | 2009-06-04 | Paper |
| Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation | 2009-04-30 | Paper |
| Localized radial solutions of the Swift–Hohenberg equation | 2009-02-20 | Paper |
| Hopf Bifurcation From Viscous Shock Waves | 2008-12-10 | Paper |
| Perturbations of embedded eigenvalues for the biLaplacian on a cylinder | 2008-07-29 | Paper |
| EVANS FUNCTIONS AND NONLINEAR STABILITY OF TRAVELING WAVES IN NEURONAL NETWORK MODELS | 2008-07-04 | Paper |
| Relative morse indices, Fredholm indices, and group velocities | 2008-06-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5424369 | 2007-11-05 | Paper |
| Nonlinear Convective Instability of Turing‐Unstable Fronts near Onset: A Case Study | 2007-10-02 | Paper |
| Period-Doubling of Spiral Waves and Defects | 2007-10-02 | Paper |
| Computing absolute and essential spectra using continuation | 2007-06-29 | Paper |
| Efficient computation of analytic bases in Evans function analysis of large systems | 2006-08-11 | Paper |
| Determining stability of pulses for partial differential equations with time delays | 2005-09-21 | Paper |
| Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems | 2005-05-12 | Paper |
| Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory | 2005-04-15 | Paper |
| Absolute instabilities of standing pulses | 2005-03-10 | Paper |
| Defects in Oscillatory Media: Toward a Classification | 2005-02-28 | Paper |
| Basin boundaries and bifurcations near convective instabilities: a case study | 2005-02-16 | Paper |
| A plethora of three-dimensional periodic travelling gravity-capillary water waves with multipulse transverse profiles | 2005-02-11 | Paper |
| The Evans function for nonlocal equations | 2005-01-03 | Paper |
| Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems | 2004-11-23 | Paper |
| Eigenvalues and resonances using the Evans function | 2004-11-01 | Paper |
| Evans function and blow-up methods in critical eigenvalue problems | 2004-11-01 | Paper |
| Propagation of hexagonal patterns near onset | 2004-06-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4550336 | 2004-02-22 | Paper |
| Exponential dichotomies for linear non-autonomous functional differential equations of mixed type | 2003-10-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3149583 | 2002-10-01 | Paper |
| On the Structure of Spectra of Modulated Travelling Waves | 2002-09-25 | Paper |
| Edge Bifurcations for Near Integrable Systems via Evans Function Techniques | 2002-04-08 | Paper |
| Gluing unstable fronts and backs together can produce stable pulses | 2002-01-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4550350 | 2002-01-01 | Paper |
| Center manifolds for homoclinic solutions | 2001-12-12 | Paper |
| Spectral stability of modulated travelling waves bifurcating near essential instabilities | 2001-07-29 | Paper |
| Absolute and convective instabilities of waves on unbounded and large bounded domains | 2001-07-03 | Paper |
| On the stability of periodic travelling waves with large spatial period | 2001-06-26 | Paper |
| Essential instability of pulses and bifurcations to modulated travelling waves | 2001-02-28 | Paper |
| Essential instabilities of fronts: bifurcation, and bifurcation failure | 2001-01-01 | Paper |
| Numerical Computation of Solitary Waves in Infinite Cylindrical Domains | 2000-10-19 | Paper |
| Bifurcations and dynamics of spiral waves | 2000-06-04 | Paper |
| Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations | 2000-05-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4952436 | 2000-05-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4948886 | 2000-04-27 | Paper |
| All-optical clock recovery using multisection distributed-feedback lasers | 2000-04-09 | Paper |
| Existence and stability of \(N\)-pulses on optical fibers with phase-sensitive amplifiers | 2000-01-24 | Paper |
| Viscous perturbations of vorticity-conserving flows and separatrix splitting | 1999-05-25 | Paper |
| Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders | 1999-03-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2708811 | 1999-01-01 | Paper |
| Convergence estimates for the numerical approximation of homoclinic solutions | 1998-11-15 | Paper |
| Fast and slow waves in the FitzHugh-Nagumo equation | 1998-11-02 | Paper |
| Instability of localized buckling modes in a one-dimensional strut model | 1998-09-27 | Paper |
| Stability of N-Fronts Bifurcating from a Twisted Heteroclinic Loop and an Application to the Fitzhugh--Nagumo Equation | 1998-05-11 | Paper |
| Stability of multiple-pulse solutions | 1998-03-24 | Paper |
| Dynamics of spiral waves on unbounded domains using center-manifold reductions | 1998-02-16 | Paper |
| A NUMERICAL TOOLBOX FOR HOMOCLINIC BIFURCATION ANALYSIS | 1997-11-27 | Paper |
| Stability of pulses on optical fibers with phase-sensitive amplifiers | 1997-11-25 | Paper |
| Center-manifold reduction for spiral waves | 1997-08-14 | Paper |
| Constructing dynamical systems having homoclinic bifurcation points of codimension two | 1997-08-07 | Paper |
| Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts | 1997-06-03 | Paper |
| A non-transverse homoclinic orbit to a saddle-node equilibrium | 1997-01-05 | Paper |
| Forced symmetry breaking of homoclinic cycles | 1996-07-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4867883 | 1996-03-05 | Paper |
| Dynamics of periodically forced parabolic equations on the circle | 1993-01-18 | Paper |
| Convergence in general periodic parabolic equations in one space dimension | 1992-07-23 | Paper |
