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Invited papers: |
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J. Cuevas-Maraver, P.G. Kevrekidis, and D.E. Pelinovsky,
Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices,
Studies in Applied Mathematics 137, 214-237
(2016)
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Regular articles: |
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P.G. Kevrekidis, J. Cuevas-Maraver, and D.E. Pelinovsky,
Energy criterion for the spectral stability of discrete breathers,
Physical Review Letters 117, 094101 (5 pages)
(2016)
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P.G. Kevrekidis, D.E. Pelinovsky, and A. Saxena,
When linear stability does not exclude nonlinear instability
Physical Review Letters 114, 214101 (6 pages)
(2015)
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D.E. Pelinovsky and J. Yang,
On transverse stability of discrete line solitons,
Physica D 255, 1-11
(2013)
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D. Pelinovsky and A. Sakovich,
Multi-site breathers in Klein–Gordon lattices:
stability, resonances, and bifurcations,
Nonlinearity 25, 3423–3451
(2012)
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C. Chong, D.E. Pelinovsky, and G. Schneider,
On the validity of the variational approximation
in discrete nonlinear Schrodinger equations,
Physica D 241, 115-124
(2012)
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D. Pelinovsky and A. Sakovich,
Internal modes of discrete solitons near the
anti-continuum limit of the dNLS equation, Physica D
240, 265-281 (2011)
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P.G. Kevrekidis, D.E. Pelinovsky, and A. Stefanov,
Asymptotic stability of small solitons in the discrete
nonlinear Schrodinger equation in one dimension,
SIAM Journal of Mathematical Analysis 41,
2010-2030 (2009)
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D.E. Pelinovsky and A. Stefanov,
On the spectral theory and dispersive estimates
for a discrete Schrodinger equation in one dimension,
Journal of Mathematical Physics, 49,
113501 (17pp) (2008)
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M. Lukas, D. Pelinovsky, and P.G. Kevrekidis,
Lyapunov-Schmidt reduction algorithm for three-dimensional
discrete vortices, Physica D 237,
339-350 (2008)
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D.E. Pelinovsky and P.G. Kevrekidis,
Stability of discrete dark solitons in nonlinear
Schrodinger lattices, Journal of Physics A: Mathematical General
41, 185206 (10pp) (2008)
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P.G. Kevrekidis and D.E. Pelinovsky,
Discrete vector on-site vortices,
Proceedings of the Royal Society A 462,
2671-2694 (2006)
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D.E. Pelinovsky, P.G. Kevrekidis, and D. Frantzeskakis,
Stability of discrete solitons in nonlinear Schrodinger lattices,
Physica D, 212,
1-19 (2005)
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D.E. Pelinovsky, P.G. Kevrekidis, and D. Frantzeskakis,
Persistence and stability of discrete vortices in nonlinear Schrodinger lattices,
Physica D, 212,
20-53 (2005)
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Proceedings papers: |
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D. Pelinovsky and V. Rothos,
Stability of discrete breathers in magnetic metamaterials,
"Localized excitations in nonlinear complex systems - current state of the art and future
perspectives" (Edited by R. Carretero-Gonzalez, J. Cuevas-Maraver, D. Frantzeskakis, N. Karachalios, P. Kevrekidis,
and F. Palmero-Acebedo) (Springer, NY) pp. 359-376
(2014)
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C. Chong and D.E. Pelinovsky,
Variational approximations of bifurcations of asymmetric
solitons in cubic-quintic nonlinear Schrodinger lattices,
Discrete and Continuous Dynamical Systems Series S 4,
1019-1031 (2011)
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