Todd Kapitula - Publications

Affiliations: 
University of New Mexico, Albuquerque, NM, United States 
Area:
Mathematics

48 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2018 Bujalski J, Dwyer G, Kapitula T, Le QN, Malvai H, Rosenthal-Kay J, Ruiter J. Consensus and clustering in opinion formation on networks. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 376. PMID 29507171 DOI: 10.1098/Rsta.2017.0186  0.381
2017 Xu H, Kevrekidis PG, Kapitula T. Existence, stability, and dynamics of harmonically trapped one-dimensional multi-component solitary waves: The near-linear limit Journal of Mathematical Physics. 58: 061901. DOI: 10.1063/1.4983999  0.547
2015 Kapitula T, Deconinck B. On the spectral and orbital stability of spatially periodic stationary solutions of generalized Korteweg-de Vries equations Hamiltonian Partial Differential Equations and Applications. 75: 285-322. DOI: 10.1007/978-1-4939-2950-4_10  0.563
2014 Demirkaya A, Kapitula T, Kevrekidis PG, Stanislavova M, Stefanov A. On the Spectral Stability of Kinks in Some PT-Symmetric Variants of the Classical Klein-Gordon Field Theories Studies in Applied Mathematics. 133: 298-317. DOI: 10.1111/Sapm.12053  0.419
2014 Kapitula T, Stefanov A. A Hamiltonian-Krein (Instability) index theory for solitary waves to KdV-Like eigenvalue problems Studies in Applied Mathematics. 132: 183-211. DOI: 10.1111/Sapm.12031  0.446
2014 Bronski J, Johnson MA, Kapitula T. An Instability Index Theory for Quadratic Pencils and Applications Communications in Mathematical Physics. 327: 521-550. DOI: 10.1007/S00220-014-1949-5  0.609
2014 Haragus M, Kapitula T. Spots and stripes in nonlinear Schrödinger-type equations with nearly one-dimensional potentials Mathematical Methods in the Applied Sciences. 37: 75-94. DOI: 10.1002/Mma.2786  0.56
2013 Kapitula T, Kevrekidis PG, Yan D. The krein matrix: General theory and concrete applications in atomic bose-einstein condensates Siam Journal On Applied Mathematics. 73: 1368-1395. DOI: 10.1137/120902471  0.411
2013 Kapitula T, Hibma E, Kim HP, Timkovich J. Instability indices for matrix polynomials Linear Algebra and Its Applications. 439: 3412-3434. DOI: 10.1016/J.Laa.2013.08.034  0.33
2011 Kapitula T, De Jong N, Plaisier K. Wave dynamics in the extended forced Korteweg-de Vries equation Siam Journal On Applied Mathematics. 71: 811-828. DOI: 10.1137/10080381X  0.498
2011 Bronski JC, Johnson MA, Kapitula T. An index theorem for the stability of periodic travelling waves of Korteweg-de Vries type Proceedings of the Royal Society of Edinburgh Section a: Mathematics. 141: 1141-1173. DOI: 10.1017/S0308210510001216  0.568
2010 Kapitula T. The krein signature, krein eigenvalues, and the krein oscillation theorem Indiana University Mathematics Journal. 59: 1245-1275. DOI: 10.1512/Iumj.2010.59.3975  0.424
2010 Kapitula T, Law KJH, Kevrekidis PG. Interaction of excited states in two-species Bose-Einstein condensates: A case study Siam Journal On Applied Dynamical Systems. 9: 34-61. DOI: 10.1137/080742002  0.338
2010 Deconinck B, Kapitula T. The orbital stability of the cnoidal waves of the Korteweg-de Vries equation Physics Letters, Section a: General, Atomic and Solid State Physics. 374: 4018-4022. DOI: 10.1016/J.Physleta.2010.08.007  0.583
2008 Kapitula T, Kevrekidis PG, Frantzeskakis DJ. Disk-shaped Bose-Einstein condensates in the presence of an harmonic trap and an optical lattice. Chaos (Woodbury, N.Y.). 18: 023101. PMID 18601468 DOI: 10.1063/1.2897311  0.497
2008 Ha ̌ra ̌guş M, Kapitula T. On the spectra of periodic waves for infinite-dimensional Hamiltonian systems Physica D: Nonlinear Phenomena. 237: 2649-2671. DOI: 10.1016/J.Physd.2008.03.050  0.586
2007 Kapitula T. On the stability of N-solitons in integrable systems Nonlinearity. 20: 879-907. DOI: 10.1088/0951-7715/20/4/005  0.494
2007 Kapitula T, Kevrekidis PG, Carretero-González R. Rotating matter waves in Bose-Einstein condensates Physica D: Nonlinear Phenomena. 233: 112-137. DOI: 10.1016/J.Physd.2007.06.012  0.535
2006 Kapitula T, Kevrekidis PG, Chen Z. Three Is a Crowd: Solitary Waves in Photorefractive Media with Three Potential Wells Siam Journal On Applied Dynamical Systems. 5: 598-633. DOI: 10.1137/05064076X  0.504
2005 Kapitula T, Kevrekidis PG. Bose-Einstein condensates in the presence of a magnetic trap and optical lattice. Chaos (Woodbury, N.Y.). 15: 37114. PMID 16253009 DOI: 10.1063/1.1993867  0.517
2005 Kapitula T, Kevrekidis PG. Bose-Einstein condensates in the presence of a magnetic trap and optical lattice: Two-mode approximation Nonlinearity. 18: 2491-2512. DOI: 10.1088/0951-7715/18/6/005  0.506
2005 Kapitula T. Stability Analysis of Pulses via the Evans Function: Dissipative Systems Lecture Notes in Physics. 661: 407-428. DOI: 10.1007/10928028_16  0.502
2004 Kapitula T, Sandstede B. Eigenvalues and resonances using the Evans function Discrete and Continuous Dynamical Systems. 10: 857-869. DOI: 10.3934/Dcds.2004.10.857  0.456
2004 Kapitula T, Kutz N, Sandstede B. The Evans function for nonlocal equations Indiana University Mathematics Journal. 53: 1095-1126. DOI: 10.1512/Iumj.2004.53.2431  0.475
2004 Kapitula T, Kevrekidis PG. Linear stability of perturbed Hamiltonian systems: Theory and a case example Journal of Physics a: Mathematical and General. 37: 7509-7526. DOI: 10.1088/0305-4470/37/30/009  0.515
2004 Kapitula T, Kevrekidis PG, Sandstede B. Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems Physica D: Nonlinear Phenomena. 195: 263-282. DOI: 10.1016/J.Physd.2004.03.018  0.566
2004 Kapitula T, Sandstede B. Eigenvalues and resonances using the Evans function Discrete and Continuous Dynamical Systems. 10: 857-869.  0.38
2002 Kapitula T, Kutz JN, Sandstede B. Stability of pulses in the master mode-locking equation Journal of the Optical Society of America B-Optical Physics. 19: 740-746. DOI: 10.1364/Josab.19.000740  0.365
2002 Kapitula T, Sandstede B. Edge bifurcations for near integrable systems via evans function techniques Siam Journal On Mathematical Analysis. 33: 1117-1143. DOI: 10.1137/S0036141000372301  0.494
2001 Kapitula T, Kevrekidis PG, Jones CKRT. Soliton internal mode bifurcations: Pure power law? Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 63: 366021-366025. DOI: 10.1103/Physreve.63.036602  0.461
2001 Kapitula T, Kevrekidis P. Stability of waves in discrete systems Nonlinearity. 14: 533-566. DOI: 10.1088/0951-7715/14/3/306  0.617
2001 Kapitula T. Stability of waves in perturbed Hamiltonian systems Physica D: Nonlinear Phenomena. 156: 186-200. DOI: 10.1016/S0167-2789(01)00256-1  0.498
2001 Kapitula T, Kevrekidis PG, Malomed BA. Stability of multiple pulses in discrete systems Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 63: 366041-366048.  0.356
2000 Kapitula T, Rubin J. Existence and stability of standing hole solutions to complex Ginzburg-Landau equations Nonlinearity. 13: 77-112. DOI: 10.1088/0951-7715/13/1/305  0.624
2000 Kevrekidis PG, Jones CKRT, Kapitula T. Exponentially small splitting of heteroclinc orbits: From the rapidly forced pendulum to discrete solitons Physics Letters, Section a: General, Atomic and Solid State Physics. 269: 120-129. DOI: 10.1016/S0375-9601(00)00247-4  0.453
1998 Kapitula T, Sandstede B. Instability mechanism for bright solitary-wave solutions to the cubic–quintic Ginzburg–Landau equation Journal of the Optical Society of America B-Optical Physics. 15: 2757-2762. DOI: 10.1364/Josab.15.002757  0.597
1998 Kapitula T. The Evans function and generalized Melnikov integrals Siam Journal On Mathematical Analysis. 30: 273-297. DOI: 10.1137/S0036141097327963  0.472
1998 Kapitula T. Bifurcating bright and dark solitary waves for the perturbed cubic-quintic nonlinear Schrödinger equation Royal Society of Edinburgh - Proceedings A. 128: 585-629. DOI: 10.1017/S030821050002165X  0.542
1998 Kapitula T, Sandstede B. Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations Physica D: Nonlinear Phenomena. 124: 58-103. DOI: 10.1016/S0167-2789(98)00172-9  0.627
1998 Kapitula T. Stability criterion for bright solitary waves of the perturbed cubic-quintic Schrödinger equation Physica D: Nonlinear Phenomena. 116: 95-120. DOI: 10.1016/S0167-2789(97)00245-5  0.569
1998 Kapitula T, Sandstede B. Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations Physica D: Nonlinear Phenomena. 124: 58-103.  0.581
1997 Kapitula T. Multidimensional stability of planar travelling waves Transactions of the American Mathematical Society. 349: 257-269. DOI: 10.1090/S0002-9947-97-01668-1  0.513
1996 Kapitula T. Existence and stability of singular heteroclinic orbits for the Ginzburg-Landau equation Nonlinearity. 9: 669-685. DOI: 10.1088/0951-7715/9/3/004  0.549
1996 Kapitula T, Maier-Paape S. Spatial dynamics of time periodic solutions for the Ginzburg-Landau equation Zeitschrift Fur Angewandte Mathematik Und Physik. 47: 265-305. DOI: 10.1007/Bf00916827  0.355
1995 Kapitula T. Singular heteroclinic orbits for degenerate modulation equations Physica D: Nonlinear Phenomena. 82: 36-59. DOI: 10.1016/0167-2789(94)00223-D  0.503
1994 Kapitula T. On the Stability of Traveling Waves in Weighted L∞ Spaces Journal of Differential Equations. 112: 179-215. DOI: 10.1006/Jdeq.1994.1100  0.543
1994 Kapitula T. On the nonlinear stability of plane waves for the ginzburg‐landau equation Communications On Pure and Applied Mathematics. 47: 831-841. DOI: 10.1002/Cpa.3160470603  0.596
1993 Jones CKRT, Gardner R, Kapitula T. Stability of travelling waves for non-convex scalar viscous conservation laws Communications On Pure and Applied Mathematics. 46: 505-526. DOI: 10.1002/Cpa.3160460404  0.543
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