| Year |
Citation |
Score |
| 2020 |
Vo T, Bertram R, Kaper TJ. Multi-mode attractors and spatio-temporal canards Physica D: Nonlinear Phenomena. 411: 132544. DOI: 10.1016/J.Physd.2020.132544 |
0.325 |
|
| 2018 |
Kaper TJ, Vo T. Delayed loss of stability due to the slow passage through Hopf bifurcations in reaction-diffusion equations. Chaos (Woodbury, N.Y.). 28: 091103. PMID 30278640 DOI: 10.1063/1.5050508 |
0.478 |
|
| 2017 |
Engler H, Kaper HG, Kaper TJ, Vo T. Dynamical systems analysis of the Maasch–Saltzman model for glacial cycles Physica D: Nonlinear Phenomena. 359: 1-20. DOI: 10.1016/J.Physd.2017.08.006 |
0.406 |
|
| 2017 |
Wu X, Kaper TJ. Analysis of the approximate slow invariant manifold method for reactive flow equations Journal of Mathematical Chemistry. 55: 1725-1754. DOI: 10.1007/S10910-017-0756-6 |
0.484 |
|
| 2016 |
Vo T, Kramer MA, Kaper TJ. Amplitude-Modulated Bursting: A Novel Class of Bursting Rhythms. Physical Review Letters. 117: 268101. PMID 28059538 DOI: 10.1103/Physrevlett.117.268101 |
0.352 |
|
| 2016 |
Burke J, Desroches M, Granados A, Kaper TJ, Krupa M, Vo T. From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation Journal of Nonlinear Science. 26: 405-451. DOI: 10.1007/S00332-015-9279-0 |
0.394 |
|
| 2015 |
Kaper HG, Kaper TJ, Zagaris A. Geometry of the computational singular perturbation method Mathematical Modelling of Natural Phenomena. 10: 16-30. DOI: 10.1051/Mmnp/201510303 |
0.772 |
|
| 2015 |
Hayes MG, Kaper TJ, Szmolyan P, Wechselberger M. Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations Indagationes Mathematicae. DOI: 10.1016/J.Indag.2015.11.005 |
0.435 |
|
| 2014 |
Dumortier F, Kaper TJ. Wave speeds for the FKPP equation with enhancements of the reaction function Zeitschrift Fur Angewandte Mathematik Und Physik. 66: 607-629. DOI: 10.1007/S00033-014-0422-9 |
0.439 |
|
| 2014 |
Holzer M, Kaper TJ. An analysis of the renormalization group method for asymptotic expansions with logarithmic switchback terms Advances in Differential Equations. 19: 245-282. |
0.346 |
|
| 2013 |
Desroches M, Kaper TJ, Krupa M. Mixed-mode bursting oscillations: dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster. Chaos (Woodbury, N.Y.). 23: 046106. PMID 24387585 DOI: 10.1063/1.4827026 |
0.373 |
|
| 2013 |
Reznik E, Kaper TJ, Segrè D. The dynamics of hybrid metabolic-genetic oscillators. Chaos (Woodbury, N.Y.). 23: 013132. PMID 23556969 DOI: 10.1063/1.4793573 |
0.3 |
|
| 2013 |
Bellsky T, Doelman A, Kaper TJ, Promislow K. Adiabatic stability under semi-strong interactions: The weakly damped regime Indiana University Mathematics Journal. 62: 1809-1859. DOI: 10.1512/Iumj.2013.62.5159 |
0.375 |
|
| 2013 |
Harkin AA, Kaper TJ, Nadim A. Energy transfer between the shape and volume modes of a nonspherical gas bubble Physics of Fluids. 25. DOI: 10.1063/1.4807392 |
0.54 |
|
| 2013 |
Broer HW, Kaper TJ, Krupa M. Geometric Desingularization of a Cusp Singularity in Slow-Fast Systems with Applications to Zeeman's Examples Journal of Dynamics and Differential Equations. 25: 925-958. DOI: 10.1007/S10884-013-9322-5 |
0.439 |
|
| 2013 |
Holzer M, Doelman A, Kaper TJ. Existence and stability of traveling pulses in a reaction-diffusion- mechanics system Journal of Nonlinear Science. 23: 129-177. DOI: 10.1007/S00332-012-9147-0 |
0.399 |
|
| 2012 |
Burke J, Desroches M, Barry AM, Kaper TJ, Kramer MA. A showcase of torus canards in neuronal bursters. Journal of Mathematical Neuroscience. 2: 3. PMID 22657918 DOI: 10.1186/2190-8567-2-3 |
0.339 |
|
| 2012 |
Desroches M, Burke J, Kaper TJ, Kramer MA. Canards of mixed type in a neural burster. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 85: 021920. PMID 22463257 DOI: 10.1103/Physreve.85.021920 |
0.336 |
|
| 2012 |
Antonios Z, Vandekerckhove C, William Gear C, Kaper TJ, Kevrekidis LG. Stability and stabilization of the constrained runs schemes for equation-free projection to a slow manifold Discrete and Continuous Dynamical Systems. 32: 2759-2803. DOI: 10.3934/Dcds.2012.32.2759 |
0.485 |
|
| 2011 |
Benes GN, Barry AM, Kaper TJ, Kramer MA, Burke J. An elementary model of torus canards. Chaos (Woodbury, N.Y.). 21: 023131. PMID 21721773 DOI: 10.1063/1.3592798 |
0.418 |
|
| 2011 |
Van Heijster P, Doelman A, Kaper TJ, Nishiura Y, Ueda KI. Pinned fronts in heterogeneous media of jump type Nonlinearity. 24: 127-157. DOI: 10.1088/0951-7715/24/1/007 |
0.351 |
|
| 2010 |
Van Heijster P, Doelman A, Kaper TJ, Promislow K. Front interactions in a three-component system Siam Journal On Applied Dynamical Systems. 9: 292-332. DOI: 10.1137/080744785 |
0.369 |
|
| 2010 |
Dumortier F, Popovi N, Kaper TJ. A geometric approach to bistable front propagation in scalar reactiondiffusion equations with cut-off Physica D: Nonlinear Phenomena. 239: 1984-1999. DOI: 10.1016/J.Physd.2010.07.008 |
0.488 |
|
| 2009 |
Zagaris A, Gear CW, Kaper TJ, Kevrekidis YG. Analysis of the accuracy and convergence of equation-free projection to a slow manifold Esaim: Mathematical Modelling and Numerical Analysis. 43: 757-784. DOI: 10.1051/M2An/2009026 |
0.756 |
|
| 2009 |
Doelman A, Van Heijster P, Kaper TJ. Pulse dynamics in a three-component system: Existence analysis Journal of Dynamics and Differential Equations. 21: 73-115. DOI: 10.1007/S10884-008-9125-2 |
0.339 |
|
| 2009 |
De Maesschalck P, Popović N, Kaper TJ. Canards and bifurcation delays of spatially homogeneous and inhomogeneous types in reaction-diffusion equations Advances in Differential Equations. 14: 943-962. |
0.349 |
|
| 2008 |
Brons M, Kaper TJ, Rotstein HG. Introduction to focus issue: mixed mode oscillations: experiment, computation, and analysis. Chaos (Woodbury, N.Y.). 18: 015101. PMID 18377082 DOI: 10.1063/1.2903177 |
0.357 |
|
| 2008 |
Witelski TP, Ono K, Kaper TJ. On Axisymmetric Traveling Waves And Radial Solutions Of Semi-Linear Elliptic Equations Natural Resource Modeling. 13: 339-388. DOI: 10.1111/J.1939-7445.2000.Tb00039.X |
0.623 |
|
| 2008 |
van Heijster P, Doelman A, Kaper TJ. Pulse dynamics in a three-component system: Stability and bifurcations Physica D: Nonlinear Phenomena. 237: 3335-3368. DOI: 10.1016/J.Physd.2008.07.014 |
0.392 |
|
| 2008 |
DeVille REL, Harkin A, Holzer M, Josić K, Kaper TJ. Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations Physica D: Nonlinear Phenomena. 237: 1029-1052. DOI: 10.1016/J.Physd.2007.12.009 |
0.689 |
|
| 2007 |
Doelman A, Kaper TJ, Promislow K. Nonlinear asymptotic stability of the semistrong pulse dynamics in a regularized Gierer-Meinhardt model Siam Journal On Mathematical Analysis. 38: 1760-1787. DOI: 10.1137/050646883 |
0.361 |
|
| 2007 |
Dumortier F, Popović N, Kaper TJ. The critical wave speed for the Fisher-Kolmogorov-Petrowskii-Piscounov equation with cut-off Nonlinearity. 20: 855-877. DOI: 10.1088/0951-7715/20/4/004 |
0.448 |
|
| 2007 |
Dumortier F, Popović N, Kaper TJ. The asymptotic critical wave speed in a family of scalar reaction-diffusion equations Journal of Mathematical Analysis and Applications. 326: 1007-1023. DOI: 10.1016/J.Jmaa.2006.03.050 |
0.381 |
|
| 2006 |
Popović N, Kaper TJ. Rigorous asymptotic expansions for critical wave speeds in a family of scalar reaction-diffusion equations Journal of Dynamics and Differential Equations. 18: 103-139. DOI: 10.1007/S10884-005-9002-1 |
0.441 |
|
| 2006 |
Beck M, Doelman A, Kaper TJ. A geometric construction of traveling waves in a bioremediation model Journal of Nonlinear Science. 16: 329-349. DOI: 10.1007/S00332-005-0731-4 |
0.346 |
|
| 2005 |
Gear CW, Kaper TJ, Kevrekidis IG, Zagaris A. Projecting to a slow manifold: Singularly perturbed systems and legacy codes Siam Journal On Applied Dynamical Systems. 4: 711-732. DOI: 10.1137/040608295 |
0.749 |
|
| 2005 |
Zagaris A, Kaper HG, Kaper TJ. Two perspectives on reduction of ordinary differential equations Mathematische Nachrichten. 278: 1629-1642. DOI: 10.1002/Mana.200410328 |
0.768 |
|
| 2004 |
Zagaris A, Kaper HG, Kaper TJ. Fast and Slow Dynamics for the Computational Singular Perturbation Method Multiscale Modeling & Simulation. 2: 613-638. DOI: 10.1137/040603577 |
0.771 |
|
| 2004 |
Morgan DS, Kaper TJ. Axisymmetric ring solutions of the 2D Gray-Scott model and their destabilization into spots Physica D: Nonlinear Phenomena. 192: 33-62. DOI: 10.1016/J.Physd.2003.12.012 |
0.401 |
|
| 2004 |
Zagaris A, Kaper HG, Kaper TJ. Analysis of the computational singular perturbation reduction method for chemical kinetics Journal of Nonlinear Science. 14: 59-91. DOI: 10.1007/S00332-003-0582-9 |
0.777 |
|
| 2003 |
Doelman A, Kaper TJ. Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations ∗ Siam Journal On Applied Dynamical Systems. 2: 53-96. DOI: 10.1137/S1111111102405719 |
0.38 |
|
| 2003 |
Rottschäfer V, Kaper TJ. Geometric theory for multi-bump, self-similar, blowup solutions of the cubic nonlinear Schrödinger equation Nonlinearity. 16: 929-961. DOI: 10.1088/0951-7715/16/3/308 |
0.446 |
|
| 2002 |
Doelman A, Gardner RA, Kaper TJ. A stability index analysis of 1-D patterns of the Gray-Scott model Memoirs of the American Mathematical Society. DOI: 10.1090/Memo/0737 |
0.503 |
|
| 2002 |
Kaper HG, Kaper TJ. Asymptotic analysis of two reduction methods for systems of chemical reactions Physica D: Nonlinear Phenomena. 165: 66-93. DOI: 10.1016/S0167-2789(02)00386-X |
0.464 |
|
| 2002 |
Rottschäfer V, Kaper TJ. Blowup in the nonlinear Schrödinger equation near critical dimension Journal of Mathematical Analysis and Applications. 268: 517-549. DOI: 10.1006/Jmaa.2001.7814 |
0.431 |
|
| 2001 |
Doelman A, Gardner RA, Kaper TJ. Large stable pulse solutions in reaction-diffusion equations Indiana University Mathematics Journal. 50: 443-507. DOI: 10.1512/Iumj.2001.50.1873 |
0.467 |
|
| 2001 |
Doelman A, Eckhaus W, Kaper TJ. Slowly modulated two-pulse solutions in the Gray-Scott model II: Geometric theory bifurcations, and splitting dynamics Siam Journal On Applied Mathematics. 61: 2036-2062. DOI: 10.1137/S0036139900372429 |
0.373 |
|
| 2001 |
Harkin A, Kaper TJ, Nadim ALI. Coupled pulsation and translation of two gas bubbles in a liquid Journal of Fluid Mechanics. 445: 377-411. DOI: 10.1017/S0022112001005857 |
0.606 |
|
| 2001 |
Witelski TP, Ono K, Kaper TJ. Critical wave speeds for a family of scalar reaction-diffusion equations Applied Mathematics Letters. 14: 65-73. DOI: 10.1016/S0893-9659(00)00114-2 |
0.569 |
|
| 2000 |
Doelman A, Eckhaus W, Kaper TJ. Slowly modulated two-pulse solutions in the Gray-Scott model I: Asymptotic construction and stability Siam Journal On Applied Mathematics. 61: 1080-1102. DOI: 10.1137/S0036139999354923 |
0.378 |
|
| 2000 |
Medvedev GS, Kaper TJ, Kopell N. Reaction-diffusion system with periodic front dynamics Siam Journal On Applied Mathematics. 60: 1601-1638. DOI: 10.1137/S0036139998344635 |
0.302 |
|
| 1999 |
Harkin A, Nadim A, Kaper TJ. On acoustic cavitation of slightly subcritical bubbles Physics of Fluids. 11: 274-287. DOI: 10.1063/1.869878 |
0.576 |
|
| 1998 |
Hayes M, Kaper TJ, Kopell N, Ono K. On the application of geometric singular perturbation theory to some classical two point boundary value problems International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 8: 189-209. DOI: 10.1142/S0218127498000140 |
0.613 |
|
| 1998 |
Doelman A, Gardner RA, Kaper TJ. Stability analysis of singular patterns in the 1D Gray-Scott model: A matched asymptotics approach Physica D: Nonlinear Phenomena. 122: 1-36. DOI: 10.1016/S0167-2789(98)00180-8 |
0.395 |
|
| 1997 |
Doelman A, Kaper TJ, Zegeling PA. Pattern formation in the one-dimensional Gray-Scott model Nonlinearity. 10: 523-563. DOI: 10.1088/0951-7715/10/2/013 |
0.407 |
|
| 1997 |
Weibel S, Kaper TJ, Baillieul J. Global Dynamics of a Rapidly Forced Cart and Pendulum Nonlinear Dynamics. 13: 131-170. DOI: 10.1023/A:1008248704427 |
0.386 |
|
| 1996 |
Jones CKRT, Kaper TJ, Kopell N. Tracking invariant manifolds up to exponentially small errors Siam Journal On Mathematical Analysis. 27: 558-577. DOI: 10.1137/S003614109325966X |
0.385 |
|
| 1996 |
Soto-Trevino C, Kaper TJ. Higher-order Melnikov theory for adiabatic systems Journal of Mathematical Physics. 37: 6220-6249. DOI: 10.1063/1.531751 |
0.392 |
|
| 1996 |
Goldman D, Kaper TJ. Nth-order operator splitting schemes and nonreversible systems Siam Journal On Numerical Analysis. 33: 349-367. |
0.302 |
|
| 1995 |
Stolovitzky G, Kaper TJ, Sirovich L. A simple model of chaotic advection and scattering. Chaos (Woodbury, N.Y.). 5: 671-686. PMID 12780224 DOI: 10.1063/1.166138 |
0.336 |
|
| 1995 |
Bruhwiler DL, Kaper TJ. Wavenumber transport: scattering of small-scale internal waves by large-scale wavepackets Journal of Fluid Mechanics. 289: 379-405. DOI: 10.1017/S0022112095001376 |
0.316 |
|
| 1994 |
Kaper TJ, Kovačič G. A geometric criterion for adiabatic chaos Journal of Mathematical Physics. 35: 1202-1218. DOI: 10.1063/1.530636 |
0.41 |
|
| 1993 |
Kaper TJ, Wiggins S. An analytical study of transport in Stokes flows exhibiting large-scale chaos in the eccentric journal bearing Journal of Fluid Mechanics. 253: 211-243. DOI: 10.1017/S0022112093001776 |
0.34 |
|
| 1991 |
Kaper TJ, Wiggins S. Lobe area in adiabatic Hamiltonian systems Physica D: Nonlinear Phenomena. 51: 205-212. DOI: 10.1016/0167-2789(91)90233-Y |
0.338 |
|
| 1987 |
Lyness JN, Kaper TJ. Calculating Fourier Transforms of Long-Tailed Functions Siam Journal On Scientific and Statistical Computing. 8: 1005-1011. DOI: 10.1137/0908081 |
0.307 |
|
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