| Publication | Date of Publication | Type |
|---|
| Fronts in the Wake of a Parameter Ramp: Slow Passage through Pitchfork and Fold Bifurcations | 2023-09-21 | Paper |
| Delayed Hopf Bifurcation and Space–Time Buffer Curves in the Complex Ginzburg–Landau Equation | 2022-05-25 | Paper |
| Multi-mode attractors and spatio-temporal canards | 2022-04-20 | Paper |
| Modeling the Dynamics of Glacial Cycles | 2020-07-07 | Paper |
| Delayed loss of stability due to the slow passage through Hopf bifurcations in reaction–diffusion equations | 2018-10-15 | Paper |
| Delayed bifurcation phenomena in reaction-diffusion equations: persistence of canards and slow passage through Hopf bifurcations | 2018-04-13 | Paper |
| Analysis of the approximate slow invariant manifold method for reactive flow equations | 2018-02-01 | Paper |
| Dynamical systems analysis of the Maasch-Saltzman model for glacial cycles | 2018-01-15 | Paper |
| Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations | 2016-11-24 | Paper |
| On the Existence of and Relationship between Canards and Torus Canards in Forced Slow/Fast Systems | 2016-07-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2792101 | 2016-03-16 | Paper |
| Mixed-mode bursting oscillations: Dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster | 2016-03-04 | Paper |
| Geometry of the Computational Singular Perturbation Method | 2015-11-06 | Paper |
| The dynamics of hybrid metabolic-genetic oscillators | 2015-09-02 | Paper |
| Wave speeds for the FKPP equation with enhancements of the reaction function | 2015-07-23 | Paper |
| Energy transfer between the shape and volume modes of a nonspherical gas bubble | 2015-07-07 | Paper |
| A computational model for BMP movement in sea urchin embryos | 2015-04-23 | Paper |
| Adiabatic stability under semi-strong interactions: The weakly damped regime | 2014-07-18 | Paper |
| An analysis of the renormalization group method for asymptotic expansions with logarithmic switchback terms | 2014-04-04 | Paper |
| Geometric desingularization of a cusp singularity in slow-fast systems with applications to Zeeman's examples | 2014-03-17 | Paper |
| Existence and stability of traveling pulses in a reaction-diffusion-mechanics system | 2013-03-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3144573 | 2012-12-08 | Paper |
| Stability and stabilization of the constrained runs schemes for equation-free projection to a slow manifold | 2012-07-04 | Paper |
| Pinned fronts in heterogeneous media of jump type | 2011-02-01 | Paper |
| A geometric approach to bistable front propagation in scalar reaction-diffusion equations with cut-off | 2010-11-05 | Paper |
| Front Interactions in a Three-Component System | 2010-05-06 | Paper |
| Canards and bifurcation delays of spatially homogeneous and inhomogeneous types in reaction-diffusion equations | 2009-11-18 | Paper |
| Analysis of the accuracy and convergence of equation-free projection to a slow manifold | 2009-08-06 | Paper |
| Pulse dynamics in a three-component system: Existence analysis | 2009-05-04 | Paper |
| Pulse dynamics in a three-component system: Stability and bifurcations | 2009-02-10 | Paper |
| On acoustic cavitation of slightly subcritical bubbles | 2008-11-17 | Paper |
| Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations | 2008-06-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5448836 | 2008-03-07 | Paper |
| Nonlinear Asymptotic Stability of the Semistrong Pulse Dynamics in a Regularized Gierer–Meinhardt Model | 2007-11-16 | Paper |
| The critical wave speed for the Fisher–Kolmogorov–Petrowskii–Piscounov equation with cut-off | 2007-07-20 | Paper |
| The asymptotic critical wave speed in a family of scalar reaction-diffusion equations | 2007-02-14 | Paper |
| Homoclinic bifurcations at the onset of pulse self-replication | 2007-01-16 | Paper |
| A geometric construction of traveling waves in a bioremediation model | 2006-11-17 | Paper |
| Rigorous asymptotic expansions for critical wave speeds in a family of scalar reaction-diffusion equations | 2006-06-26 | Paper |
| Two perspectives on reduction of ordinary differential equations | 2005-12-08 | Paper |
| Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes | 2005-10-28 | Paper |
| Fast and Slow Dynamics for the Computational Singular Perturbation Method | 2005-03-21 | Paper |
| Axisymmetric ring solutions of the 2D Gray-Scott model and their destabilization into spots | 2004-11-22 | Paper |
| Analysis of the computational singular perturbation reduction method for chemical kinetics | 2004-09-22 | Paper |
| Alpha-frequency rhythms desynchronize over long cortical distances: A modeling study | 2004-08-10 | Paper |
| Geometric theory for multi-bump, self-similar, blowup solutions of the cubic nonlinear Schr dinger equation | 2003-10-12 | Paper |
| Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations | 2003-06-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4550181 | 2003-03-20 | Paper |
| Spatially periodic and aperiodic multi-pulse patterns in the one-dimensional Gierer-Meinhardt equation | 2003-03-12 | Paper |
| Stationary periodic patterns in the 1D Gray-Scott model | 2002-11-06 | Paper |
| Large stable pulse solutions in reaction-diffusion equations | 2002-09-25 | Paper |
| Blowup in the nonlinear Schrödinger equation near critical dimension | 2002-07-04 | Paper |
| Asymptotic analysis of two reduction methods for systems of chemical reactions | 2002-05-12 | Paper |
| A stability index analysis of 1-D patterns of the Gray-Scott model | 2002-04-21 | Paper |
| ON AXISYMMETRIC TRAVELING WAVES AND RADIAL SOLUTIONS OF SEMI-LINEAR ELLIPTIC EQUATIONS | 2002-02-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4762884 | 2001-11-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4762885 | 2001-08-30 | Paper |
| Critical wave speeds for a family of scalar reaction-diffusion equations | 2001-08-07 | Paper |
| Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model I: Asymptotic Construction and Stability | 2001-07-31 | Paper |
| Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model II: Geometric Theory, Bifurcations, and Splitting Dynamics | 2001-06-21 | Paper |
| A simple model of chaotic advection and scattering | 2001-01-16 | Paper |
| Coupled pulsation and translation of two gas bubbles in a liquid | 2001-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2770236 | 2001-01-01 | Paper |
| A Reaction-Diffusion System with Periodic Front Dynamics | 2000-10-18 | Paper |
| On the Application of Geometric Singular Perturbation Theory to Some Classical Two Point Boundary Value Problems | 2000-01-24 | Paper |
| Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach | 1999-12-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4252192 | 1999-06-17 | Paper |
| Pattern formation in the one-dimensional Gray - Scott model | 1999-02-09 | Paper |
| Multi-bump orbits homoclinic to resonance bands | 1998-04-28 | Paper |
| Tracking Invariant Manifolds up to Exponentially Small Errors | 1997-10-06 | Paper |
| Global dynamics of a rapidly forced cart and pendulum | 1997-09-09 | Paper |
| Higher-order Melnikov theory for adiabatic systems | 1997-01-22 | Paper |
| Wavenumber transport: scattering of small-scale internal waves by large-scale wavepackets | 1996-05-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4859224 | 1996-01-02 | Paper |
| A commentary ``On the periodic solutions of a forced second-order equation by S. P. Hastings and J. B. McLeod | 1995-05-28 | Paper |
| A geometric criterion for adiabatic chaos | 1994-07-31 | Paper |
| An analytical study of transport in Stokes flows exhibiting large-scale chaos in the eccentric journal bearing | 1993-10-13 | Paper |
| On the structure of separatrix-swept regions in singularly-perturbed Hamiltonian systems | 1993-01-16 | Paper |
| Lobe area in adiabatic Hamiltonian systems | 1992-06-27 | Paper |
| Calculating Fourier Transforms of Long-Tailed Functions | 1987-01-01 | Paper |
