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T. Kapitula · SciRah

Researcher profile · Semantic Scholar

T. Kapitula

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T. Kapitula — researcher profile on SciRah

h-index: 30
Works: 87
Citations: 2,837

Most-cited papers

Spectral and Dynamical Stability of Nonlinear Waves
T. Kapitula, K. Promislow
2013453 citations
Semantic Scholar
Stability of bright solitary-wave solutions to perturbed nonlinear Schro
T. Kapitula, Bjorn Sandstede
1998230 citations Open access
Semantic Scholar
Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
T. Kapitula, P. Kevrekidis, Bjorn Sandstede
2004209 citations Open access
Semantic Scholar
On the spectra of periodic waves for infinite-dimensional Hamiltonian systems
Mariana Haˇraˇguş, T. Kapitula
2008147 citations
Semantic Scholar
STABILITY OF TRAVELING WAVES FOR NONCONVEX SCALAR VISCOUS CONSERVATION-LAWS
Christopher K. R. T. Jones, R. Gardner, T. Kapitula
1993108 citations
Semantic Scholar
Multidimensional stability of planar travelling waves
T. Kapitula
1997104 citations Open access
Semantic Scholar
The Evans function for nonlocal equations
T. Kapitula, N. Kutz, Bjorn Sandstede
200485 citations Open access
Semantic Scholar
On the Stability of Traveling Waves in Weighted L∞ Spaces
T. Kapitula
199478 citations Open access
Semantic Scholar
The Evans function and generalized Melnikov integrals
T. Kapitula
199970 citations
Semantic Scholar
Edge Bifurcations for Near Integrable Systems via Evans Function Techniques
T. Kapitula, Bjorn Sandstede
2002SIAM Journal on Mathematical Analysis69 citations
Semantic Scholar
An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type
J. Bronski, Mathew A. Johnson, T. Kapitula
2011Proceedings of the Royal Society of Edinburgh. Section A Mathematics67 citations
Semantic Scholar
Stability of pulses in the master mode-locking equation
T. Kapitula, J. Kutz, Bjorn Sandstede
200267 citations
Semantic Scholar
Stability criterion for bright solitary waves of the perturbed cubic-quintic Schro¨dinger equation
T. Kapitula
199763 citations Open access
Semantic Scholar
Bose–Einstein condensates in the presence of a magnetic trap and optical lattice: two-mode approximation
T. Kapitula, P. Kevrekidis
200554 citations Open access
Semantic Scholar
On the stability of N-solitons in integrable systems
T. Kapitula
200753 citations
Semantic Scholar
Stability of waves in discrete systems
T. Kapitula, P. Kevrekidis
200153 citations Open access
Semantic Scholar
Stability of multiple pulses in discrete systems.
T. Kapitula, P. Kevrekidis, B. A. Malomed
2001Physical review. E, Statistical, nonlinear, and soft matter physics53 citations
Semantic Scholar
Three Is a Crowd: Solitary Waves in Photorefractive Media with Three Potential Wells
T. Kapitula, P. Kevrekidis, Zhi-Gang Chen
2006SIAM Journal on Applied Dynamical Systems51 citations
Semantic Scholar
Instability mechanism for bright solitary-wave solutions to the cubic–quintic Ginzburg–Landau equation
T. Kapitula, Bjorn Sandstede
199851 citations
Semantic Scholar
On the spectral and orbital stability of spatially periodic stationary solutions of generalized Korteweg-de Vries equations
T. Kapitula, B. Deconinck
201550 citations
Semantic Scholar
A Hamiltonian–Krein (Instability) Index Theory for Solitary Waves to KdV‐Like Eigenvalue Problems
T. Kapitula, A. Stefanov
201448 citations
Semantic Scholar
An Instability Index Theory for Quadratic Pencils and Applications
J. Bronski, Mathew A. Johnson, T. Kapitula
201248 citations
Semantic Scholar
Existence and stability of standing hole solutions to complex Ginzburg-Landau equations
T. Kapitula, J. Rubin
199948 citations Open access
Semantic Scholar
Eigenvalues and resonances using the Evans function
T. Kapitula, Bjorn Sandstede
200445 citations Open access
Semantic Scholar
Stability indices for constrained self-adjoint operators
T. Kapitula, K. Promislow
201240 citations Open access
Semantic Scholar
Stability of waves in pertubed Hamiltonian sysems
T. Kapitula
200135 citations
Semantic Scholar
Existence and stability of singular heteroclinic orbits for the Ginzburg - Landau equation
T. Kapitula
199632 citations
Semantic Scholar
Stability of weak shocks in λ-ω systems
T. Kapitula
199132 citations
Semantic Scholar
An index theorem for the stability of periodic traveling waves of KdV type.
J. Bronski, Mathew A. Johnson, T. Kapitula
200930 citations
Semantic Scholar
On the nonlinear stability of plane waves for the ginzburg‐landau equation
T. Kapitula
199430 citations
Semantic Scholar
On the orbital ( in ) stability of spatially periodic stationary solutions of generalized Korteweg-de Vries equations
B. Deconinck, T. Kapitula
200928 citations
Semantic Scholar
Rotating matter waves in Bose-Einstein condensates
T. Kapitula, P. Kevrekidis, R. Carretero-González
200728 citations Open access
Semantic Scholar
Nearly real fronts in a Ginzburg–Landau equation
Christopher K. R. T. Jones, T. Kapitula, J. Powell
1990Proceedings of the Royal Society of Edinburgh: Section A Mathematics28 citations
Semantic Scholar
Exponentially small splitting of heteroclinc orbits: from the rapidly forced pendulum to discrete solitons
P. Kevrekidis, Christopher K. R. T. Jones, T. Kapitula
200023 citations
Semantic Scholar
The Krein signature, Krein eigenvalues, and the Krein Oscillation Theorem
T. Kapitula
201022 citations
Semantic Scholar
Spatial dynamics of time periodic solutions for the Ginzburg-Landau equation
T. Kapitula, S. Maier-Paape
199622 citations
Semantic Scholar
A Hamiltonian-Krein (instability) index theory for KdV-like eigenvalue problems
T. Kapitula, A. Stefanov
201221 citations
Semantic Scholar
Linear stability of perturbed Hamiltonian systems: theory and a case example
T. Kapitula, P. Kevrekidis
200420 citations
Semantic Scholar
On the Spectral Stability of Kinks in Some PT ‐Symmetric Variants of the Classical Klein–Gordon Field Theories
A. Demirkaya, T. Kapitula, P. Kevrekidis, M. Stanislavova +1 more
2014Studies in applied mathematics (Cambridge)17 citations
Semantic Scholar
Stability Analysis of Pulses via the Evans Function: Dissipative Systems
T. Kapitula
200516 citations
Semantic Scholar
Bifurcating bright and dark solitary waves for the perturbed cubic-quintic nonlinear Schrödinger equation
T. Kapitula
1998Proceedings of the Royal Society of Edinburgh: Section A Mathematics12 citations
Semantic Scholar
Consensus and clustering in opinion formation on networks
J. Bujalski, Grace Dwyer, T. Kapitula, Quang-Nhat Le +3 more
2018Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences11 citations Open access
Semantic Scholar
Instability indices for matrix polynomials
T. Kapitula, Elizabeth Hibma, Hwa-Pyeong Kim, Jonathan Timkovich
201311 citations Open access
Semantic Scholar
Singular heteroclinic orbits for degenerate modulation equations
T. Kapitula
199511 citations
Semantic Scholar
Soliton internal mode bifurcations: pure power law?
T. Kapitula, P. Kevrekidis, Christopher K. R. T. Jones
2001Physical review. E, Statistical, nonlinear, and soft matter physics10 citations
Semantic Scholar
Interaction of Excited States in Two-Species Bose-Einstein Condensates: A Case Study
T. Kapitula, K. Law, P. Kevrekidis
2010SIAM Journal on Applied Dynamical Systems9 citations Open access
Semantic Scholar
Disk-shaped Bose-Einstein condensates in the presence of an harmonic trap and an optical lattice.
T. Kapitula, P. Kevrekidis, D. Frantzeskakis
2008Chaos8 citations Open access
Semantic Scholar
Ordinary differential equations and linear algebra - a systems approach
T. Kapitula
20156 citations
Semantic Scholar
The Krein Matrix: General Theory and Concrete Applications in Atomic Bose-Einstein Condensates
T. Kapitula, P. Kevrekidis, D. Yan
2012SIAM Journal on Applied Mathematics6 citations Open access
Semantic Scholar
Bifurcating bright and dark solitary waves of the nearly nonlinear cubic-quintic Schrodinger equation
T. Kapitula
19964 citations
Semantic Scholar

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