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T. Kaper · SciRah

Researcher profile · Semantic Scholar

T. Kaper

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T. Kaper — researcher profile on SciRah

h-index: 37
Works: 124
Citations: 4,435

Most-cited papers

Large stable pulse solutions in reaction-diffusion equations
A. Doelman, R. Gardner, T. Kaper
2001215 citations Open access
Semantic Scholar
Stability analysis of singular patterns in the 1-D Gray-Scott model I: a matched asymptotics approach
A. Doelman, R. Gardner, T. Kaper
1998200 citations Open access
Semantic Scholar
Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes
C. Gear, T. Kaper, I. Kevrekidis, A. Zagaris
2004SIAM Journal on Applied Dynamical Systems196 citations Open access
Semantic Scholar
Asymptotic analysis of two reduction methods for systems of chemical reactions
H. Kaper, T. Kaper
2001173 citations Open access
Semantic Scholar
Analysis of the Computational Singular Perturbation Reduction Method for Chemical Kinetics
A. Zagaris, H. Kaper, T. Kaper
2004Journal of nonlinear science156 citations
Semantic Scholar
Introduction to focus issue: mixed mode oscillations: experiment, computation, and analysis.
M. Brøns, T. Kaper, H. Rotstein
2008Chaos138 citations Open access
Semantic Scholar
Mixed-mode bursting oscillations: dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster.
M. Desroches, T. Kaper, M. Krupa
2013Chaos132 citations
Semantic Scholar
Alpha-Frequency Rhythms Desynchronize over Long Cortical Distances: A Modeling Study
S. Jones, D. Pinto, T. Kaper, N. Kopell
2000Journal of Computational Neuroscience128 citations
Semantic Scholar
A stability index analysis of 1-D patterns of the Gray-Scott model
A. Doelman, R. Gardner, T. Kaper
2002114 citations
Semantic Scholar
Fast and Slow Dynamics for the Computational Singular Perturbation Method
A. Zagaris, H. Kaper, T. Kaper
2004Multiscale Modeling & simulation98 citations Open access
Semantic Scholar
Coupled pulsation and translation of two gas bubbles in a liquid
Anthony Harkin, T. Kaper, A. Nadim
2001Journal of Fluid Mechanics92 citations
Semantic Scholar
Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations
R. E. Lee DeVille, Anthony Harkin, Matt Holzer, K. Josić +1 more
200890 citations
Semantic Scholar
An unfolding theory approach to bursting in fast–slow systems
M. Golubitsky, K. Josić, T. Kaper
200186 citations
Semantic Scholar
Pulse Dynamics in a Three-Component System: Existence Analysis
A. Doelman, P. Heijster, T. Kaper
200983 citations Open access
Semantic Scholar
Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations
A. Doelman, T. Kaper
2003SIAM Journal on Applied Dynamical Systems72 citations Open access
Semantic Scholar
Nonlinear Asymptotic Stability of the Semistrong Pulse Dynamics in a Regularized Gierer-Meinhardt Model
A. Doelman, T. Kaper, K. Promislow
2007SIAM Journal on Mathematical Analysis65 citations Open access
Semantic Scholar
Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model II: Geometric Theory, Bifurcations, and Splitting Dynamics
A. Doelman, W. Eckhaus, T. Kaper
2001SIAM Journal on Applied Mathematics61 citations Open access
Semantic Scholar
Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model I: Asymptotic Construction and Stability
A. Doelman, T. Kaper, W. Eckhaus
2000SIAM Journal on Applied Mathematics61 citations Open access
Semantic Scholar
A showcase of torus canards in neuronal bursters
J. Burke, M. Desroches, A. Barry, T. Kaper +1 more
2011Journal of Mathematical Neuroscience60 citations Open access
Semantic Scholar
Front Interactions in a Three-Component System
P. van Heijster, A. Doelman, T. Kaper, K. Promislow
2010SIAM Journal on Applied Dynamical Systems59 citations Open access
Semantic Scholar
The critical wave speed for the Fisher–Kolmogorov–Petrowskii–Piscounov equation with cut-off
F. Dumortier, N. Popović, T. Kaper
200759 citations Open access
Semantic Scholar
Pulse dynamics in a three-component system : stability and bifurcations
P. van Heijster, A. Doelman, T. Kaper
200856 citations Open access
Semantic Scholar
Coordination of Cellular Pattern-Generating Circuits that Control Limb Movements: The Sources of Stable Differences in Intersegmental Phases
S. Jones, B. Mulloney, T. Kaper, N. Kopell
2003Journal of Neuroscience50 citations Open access
Semantic Scholar
Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations
M. G. Hayes, T. Kaper, P. Szmolyan, M. Wechselberger
201647 citations Open access
Semantic Scholar
Geometric Desingularization of a Cusp Singularity in Slow–Fast Systems with Applications to Zeeman’s Examples
Henk W. Broer, T. Kaper, M. Krupa
2013Journal of Dynamics and Differential Equations39 citations Open access
Semantic Scholar
Analysis of State-Dependent Transitions in Frequency and Long-Distance Coordination in a Model Oscillatory Cortical Circuit
D. Pinto, S. Jones, T. Kaper, N. Kopell
2003Journal of Computational Neuroscience39 citations
Semantic Scholar
An elementary model of torus canards.
G. N. Benes, A. Barry, T. Kaper, M. Kramer +1 more
2011Chaos37 citations Open access
Semantic Scholar
A Primer on the Exchange Lemma for Fast-Slow Systems
T. Kaper, Christopher K. R. T. Jones
200137 citations
Semantic Scholar
Stationary periodic patterns in the 1D Gray–Scott model
David S. Morgan, A. Doelman, T. Kaper
200037 citations Open access
Semantic Scholar
Two perspectives on reduction of ordinary differential equations
A. Zagaris, H. Kaper, T. Kaper
200536 citations Open access
Semantic Scholar
Axisymmetric ring solutions of the 2D Gray–Scott model and their destabilization into spots
David S. Morgan, T. Kaper
200436 citations Open access
Semantic Scholar
Pinned fronts in heterogeneous media of jump type
P. van Heijster, A. Doelman, T. Kaper, Y. Nishiura +1 more
201033 citations Open access
Semantic Scholar
Existence and Stability of Traveling Pulses in a Reaction–Diffusion-Mechanics System
Matt Holzer, A. Doelman, T. Kaper
2012Journal of nonlinear science32 citations
Semantic Scholar
Delayed loss of stability due to the slow passage through Hopf bifurcations in reaction-diffusion equations.
T. Kaper, Theodore Vo
2018Chaos25 citations
Semantic Scholar
Dynamical systems analysis of the Maasch–Saltzman model for glacial cycles
H. Engler, H. Kaper, T. Kaper, Theodore Vo
201725 citations Open access
Semantic Scholar
Amplitude-Modulated Bursting: A Novel Class of Bursting Rhythms.
Theodore Vo, M. Kramer, T. Kaper
2016Physical Review Letters25 citations Open access
Semantic Scholar
Geometry of the Computational Singular Perturbation Method
H. Kaper, T. Kaper, A. Zagaris
201525 citations Open access
Semantic Scholar
Canards of mixed type in a neural burster.
M. Desroches, J. Burke, T. Kaper, M. Kramer
2012Physical review. E, Statistical, nonlinear, and soft matter physics22 citations
Semantic Scholar
Blowup in the Nonlinear Schrödinger Equation Near Critical Dimension
V. Rottschäfer, T. Kaper
200222 citations Open access
Semantic Scholar
Geometric theory for multi-bump, self-similar, blowup solutions of the cubic nonlinear Schrödinger equation
V. Rottschäfer, T. Kaper
200321 citations Open access
Semantic Scholar
From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation
J. Burke, M. Desroches, A. Granados, T. Kaper +2 more
2015Journal of nonlinear science20 citations Open access
Semantic Scholar
A geometric approach to bistable front propagation in scalar reaction–diffusion equations with cut-off
F. Dumortier, N. Popović, T. Kaper
201020 citations Open access
Semantic Scholar
A Reaction-Diffusion System with Periodic Front Dynamics
G. Medvedev, N. Kopell, T. Kaper
2000SIAM Journal on Applied Mathematics20 citations
Semantic Scholar
Stability and stabilization of the constrained runs schemes for equation-free projection to a slow manifold
A. Zagaris, C. Vandekerckhove, C. Gear, T. Kaper +1 more
201219 citations Open access
Semantic Scholar
Adiabatic stability under semi-strong interactions: The weakly damped regime
T. Bellsky, A. Doelman, T. Kaper, K. Promislow
201318 citations Open access
Semantic Scholar
Canards and bifurcation delays of spatially homogeneous and inhomogeneous types in reaction-diffusion equations
Peter De Maesschalck, T. Kaper, N. Popović
2009Advances in Differential Equations18 citations Open access
Semantic Scholar
The dynamics of hybrid metabolic-genetic oscillators.
Ed Reznik, T. Kaper, D. Segrè
2013Chaos17 citations Open access
Semantic Scholar
Rigorous Asymptotic Expansions for Critical Wave Speeds in a Family of Scalar Reaction-Diffusion Equations
N. Popović, T. Kaper
200617 citations
Semantic Scholar
Energy transfer between the shape and volume modes of a nonspherical gas bubble
Anthony Harkin, T. Kaper, A. Nadim
201316 citations
Semantic Scholar
Stabilization of ring dark solitons in Bose-Einstein condensates
Wen-Long Wang, P. Kevrekidis, R. Carretero-González, D. Frantzeskakis +2 more
201515 citations Open access
Semantic Scholar

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