Tasso J. Kaper | Academic Influence

Tasso J. Kaper's AcademicInfluence.com Rankings

Tasso J. Kaper

Mathematics

#6677

World Rank

#9202

Historical Rank

#1973

USA Rank

Applied Mathematics

#368

World Rank

#395

Historical Rank

#79

USA Rank

Measure Theory

#3907

World Rank

#4605

Historical Rank

#1122

USA Rank

mathematics Degrees

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Mathematics

Tasso J. Kaper's Degrees

PhD Mathematics University of Groningen
Masters Mathematics University of Groningen
Bachelors Mathematics University of Groningen

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Why Is Tasso J. Kaper Influential?

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According to Wikipedia, Tasso Joost Kaper is an American mathematician at Boston University, where he chairs the Department of Mathematics and Statistics. His research concerns dynamical systems and applied mathematics. Kaper's father is Hans G. Kaper, a Dutch-born retired mathematician at Argonne National Laboratory. Tasso Kaper did his undergraduate studies at the University of Chicago, graduating in 1986. He earned a Ph.D. in 1992 from the California Institute of Technology, under the supervision of Stephen Wiggins. On finishing his doctorate, he joined the faculty at Boston University, where he has remained. He was editor-in-chief of SIAM Journal on Applied Dynamical Systems from 2005 to 2011, when he became department chair.

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Tasso J. Kaper'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

Pattern formation in the one-dimensional Gray - Scott model (1997) (227)
Large stable pulse solutions in reaction-diffusion equations (2001) (202)
Stability analysis of singular patterns in the 1-D Gray-Scott model I: a matched asymptotics approach (1998) (193)
Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes (2004) (177)
Analysis of the Computational Singular Perturbation Reduction Method for Chemical Kinetics (2004) (144)
Tracking invariant manifolds up to exponentially small errors (1996) (131)
Introduction to focus issue: mixed mode oscillations: experiment, computation, and analysis. (2008) (114)
Alpha-Frequency Rhythms Desynchronize over Long Cortical Distances: A Modeling Study (2000) (113)
N th-order operator splitting schemes and nonreversible systems (1996) (113)
A stability index analysis of 1-D patterns of the Gray-Scott model (2002) (110)
Mixed-mode bursting oscillations: dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster. (2013) (105)
Fast and Slow Dynamics for the Computational Singular Perturbation Method (2004) (86)
MULTI-BUMP ORBITS HOMOCLINIC TO RESONANCE BANDS (1996) (85)
Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations (2008) (77)
Coupled pulsation and translation of two gas bubbles in a liquid (2001) (76)
Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations (2003) (76)
Pulse Dynamics in a Three-Component System: Existence Analysis (2009) (72)
An unfolding theory approach to bursting in fast–slow systems (2001) (70)
Spatially periodic and aperiodic multi-pulse patterns in the one-dimensional Gierer-Meinhardt equation (2001) (66)
Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model II: Geometric Theory, Bifurcations, and Splitting Dynamics (2001) (65)
Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model I: Asymptotic Construction and Stability (2000) (60)
An analytical study of transport in Stokes flows exhibiting large-scale chaos in the eccentric journal bearing (1993) (59)
A showcase of torus canards in neuronal bursters (2011) (57)
Nonlinear Asymptotic Stability of the Semistrong Pulse Dynamics in a Regularized Gierer-Meinhardt Model (2007) (57)
Analysis of the accuracy and convergence of equation-free projection to a slow manifold (2007) (53)
Pulse dynamics in a three-component system : stability and bifurcations (2008) (51)
Front Interactions in a Three-Component System (2010) (50)
Coordination of Cellular Pattern-Generating Circuits that Control Limb Movements: The Sources of Stable Differences in Intersegmental Phases (2003) (49)
The critical wave speed for the Fisher–Kolmogorov–Petrowskii–Piscounov equation with cut-off (2007) (49)
On acoustic cavitation of slightly subcritical bubbles (1997) (44)
Global Dynamics of a Rapidly Forced Cart and Pendulum (1997) (44)
A Primer on the Exchange Lemma for Fast-Slow Systems (2001) (37)
An elementary model of torus canards. (2011) (36)
Geometric Desingularization of a Cusp Singularity in Slow–Fast Systems with Applications to Zeeman’s Examples (2013) (36)
Analysis of State-Dependent Transitions in Frequency and Long-Distance Coordination in a Model Oscillatory Cortical Circuit (2003) (36)
Two perspectives on reduction of ordinary differential equations (2005) (35)
Higher‐order Melnikov theory for adiabatic systems (1996) (31)
Lobe area in adiabatic Hamiltonian systems (1991) (31)
Stationary periodic patterns in the 1D Gray–Scott model (2000) (31)
Axisymmetric ring solutions of the 2D Gray–Scott model and their destabilization into spots (2004) (30)
Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations (2016) (28)
Pinned fronts in heterogeneous media of jump type (2010) (25)
Amplitude-Modulated Bursting: A Novel Class of Bursting Rhythms. (2016) (20)
Canards of mixed type in a neural burster. (2012) (20)
A simple model of chaotic advection and scattering. (1995) (20)
Blowup in the Nonlinear Schrödinger Equation Near Critical Dimension (2002) (19)
A Reaction-Diffusion System with Periodic Front Dynamics (2000) (19)
Dynamical systems analysis of the Maasch–Saltzman model for glacial cycles (2017) (18)
Adiabatic stability under semi-strong interactions: The weakly damped regime (2013) (17)
Existence and Stability of Traveling Pulses in a Reaction–Diffusion-Mechanics System (2013) (17)
Geometric theory for multi-bump, self-similar, blowup solutions of the cubic nonlinear Schrödinger equation (2003) (17)
Geometry of the Computational Singular Perturbation Method (2015) (17)
A geometric approach to bistable front propagation in scalar reaction–diffusion equations with cut-off (2010) (16)
Stability and stabilization of the constrained runs schemes for equation-free projection to a slow manifold (2012) (16)
The dynamics of hybrid metabolic-genetic oscillators. (2013) (16)
Delayed loss of stability due to the slow passage through Hopf bifurcations in reaction-diffusion equations. (2018) (16)
Canards and bifurcation delays of spatially homogeneous and inhomogeneous types in reaction-diffusion equations (2009) (15)
A geometric criterion for adiabatic chaos (1994) (15)
A computational model for BMP movement in sea urchin embryos. (2014) (15)
The asymptotic critical wave speed in a family of scalar reaction–diffusion equations (2007) (14)
Wavenumber transport: scattering of small-scale internal waves by large-scale wavepackets (1995) (14)
A Geometric Construction of Traveling Waves in a Bioremediation Model (2006) (13)
Energy transfer between the shape and volume modes of a nonspherical gas bubble (2013) (12)
Small-Amplitude Periodic Motions of Rapidly Forced Mechanical Systems (1995) (12)
Homoclinic bifurcations at the onset of pulse self-replication (2006) (12)
Reduction for Michaelis-Menten-Henri kinetics in the presence of diffusion (2007) (10)
Stabilization of ring dark solitons in Bose-Einstein condensates (2015) (10)
On the Application of Geometric Singular Perturbation Theory to Some Classical Two Point Boundary Value Problems (1998) (9)
Analysis of the CSP Reduction Method for Chemical Kinetics (2003) (9)
Introduction to focus issue: rhythms and dynamic transitions in neurological disease: modeling, computation, and experiment. (2013) (8)
ON AXISYMMETRIC TRAVELING WAVES AND RADIAL SOLUTIONS OF SEMI‐LINEAR ELLIPTIC EQUATIONS (2000) (8)
Pattern formation in the 1-D Gray-Scott model (1996) (8)
Wave speeds for the FKPP equation with enhancements of the reaction function (2015) (8)
Modelling, Analysis and Simulation Nonlinear asymptotic stability of the semi-strong pulse dynamics in a regularized Gierer-Meinhardt model (2005) (7)
Critical wave speeds for a family of scalar reaction-diffusion equations (2001) (6)
An analysis of the renormalization group method for asymptotic expansions with logarithmic switchback terms (2014) (6)
Transport, mixing and stretching in a chaotic Stokes flow: The two-roll mill (1989) (6)
A commentary “on the periodic solutions of a forced second-order equation” by S. P. Hastings and J. B. McLeod (1991) (6)
On the structure of separatrix-swept regions in singularly-perturbed Hamiltonian systems (1992) (5)
Multi-mode attractors and spatio-temporal canards (2020) (5)
Wave speeds for pushed fronts in reaction-diffusion equations with cut-offs : Dedicated to Professor Yasumasa Nishiura on the occasion of his sixtieth birthday (Far-From-Equilibrium Dynamics) (2012) (4)
Delayed Hopf bifurcation and space-time buffer curves in the Complex Ginzburg-Landau equation (2020) (4)
Geometric analysis of delayed bifurcations (2000) (4)
Part I. On the structure in separatrix-swept regions of slowly-modulated Hamiltonian systems. Part II. On the quantification of mixing in chaotic Stokes' flows : the eccentric journal bearing (1992) (4)
Asymptotic normal form theory for nonautonomous equations and its connections with a renormalization group method (2004) (4)
Slowly-modulated two pulse solutions and pulse splitting bifurcations (1999) (3)
Analysis of a Renormalization Group Method for Solving Perturbed Ordinary Dieren tial Equations (2006) (3)
Calculating Fourier Transforms of Long-Tailed Functions (1987) (3)
Modeling the Dynamics of Glacial Cycles (2017) (3)
Analysis of the approximate slow invariant manifold method for reactive flow equations (2017) (2)
A new class of chimeras in locally coupled oscillators with small-amplitude, high-frequency asynchrony and large-amplitude, low-frequency synchrony. (2021) (2)
A dynamical systems approach to the Pleistocene climate (2018) (1)
On the Existence of and Relationship between Canards and Torus Canards in Forced Slow/Fast Systems (2016) (1)
Fronts in the wake of a parameter ramp: slow passage through pitchfork and fold bifurcations (2022) (1)
Title Wave speeds for pushed fronts in reaction-diffusion equations with cut-offs : Dedicated (2018) (0)
A note on a reaction-diffusion model describing the bone morphogen protein gradient in Drosophila embryonic patterning (2015) (0)
Pattern formation in the 1 { (2007) (0)
Proceedings of the International Conference in Honor of Jacqueline Fleckinger, Toulouse, France 2006 (2007) (0)
Wave speeds for the FKPP equation with enhancements of the reaction function (2014) (0)
The stability of large pulse solutions in the generalized Gierer-Meinhardt equation (2000) (0)
New Results - Slow-Fast Dynamics in Neuroscience (2016) (0)
Symmetry-breaking rhythms in coupled, identical fast-slow oscillators. (2023) (0)
Existence and Stability of Traveling Pulses in a Reaction–Diffusion-Mechanics System (2012) (0)
Analysis of torus canards and other delayed loss of stability phenomena (2016) (0)
A showcase of torus canards in neuronal bursters (2012) (0)
Delayed bifurcation phenomena in reaction-diffusion equations: persistence of canards and slow passage through Hopf bifurcations (2018) (0)
Mixed-amplitude chimeras: A new class of chimera states in bistable reaction-diffusion systems with local diffusive coupling (2021) (0)
Coupling the Translation and Radial Pulsations of Two Spherical Gas Bubbles (2000) (0)
From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation (2015) (0)
A note on two pulse solutions in the 1-D Gray-Scott model (2000) (0)
Geometric Desingularization of a Cusp Singularity in Slow–Fast Systems with Applications to Zeeman’s Examples (2013) (0)
Special Session 78: Multiple Time Scale Dynamics With a View Towards Biological Applications (2012) (0)
to focus issue: Mixed mode oscillations: Experiment, computation, and (2018) (0)

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