

Invited papers: 


J. CuevasMaraver, P.G. Kevrekidis, and D.E. Pelinovsky,
Nonlinear instabilities of multisite breathers in KleinGordon lattices,
Studies in Applied Mathematics 137, 214237
(2016)






Regular articles: 


P.G. Kevrekidis, J. CuevasMaraver, and D.E. Pelinovsky,
Energy criterion for the spectral stability of discrete breathers,
Physical Review Letters 117, 094101 (5 pages)
(2016)



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)



D.E. Pelinovsky and J. Yang,
On transverse stability of discrete line solitons,
Physica D 255, 111
(2013)



D. Pelinovsky and A. Sakovich,
Multisite breathers in Klein–Gordon lattices:
stability, resonances, and bifurcations,
Nonlinearity 25, 3423–3451
(2012)



C. Chong, D.E. Pelinovsky, and G. Schneider,
On the validity of the variational approximation
in discrete nonlinear Schrodinger equations,
Physica D 241, 115124
(2012)



D. Pelinovsky and A. Sakovich,
Internal modes of discrete solitons near the
anticontinuum limit of the dNLS equation, Physica D
240, 265281 (2011)



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,
20102030 (2009)



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)



M. Lukas, D. Pelinovsky, and P.G. Kevrekidis,
LyapunovSchmidt reduction algorithm for threedimensional
discrete vortices, Physica D 237,
339350 (2008)



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)



P.G. Kevrekidis and D.E. Pelinovsky,
Discrete vector onsite vortices,
Proceedings of the Royal Society A 462,
26712694 (2006)



D.E. Pelinovsky, P.G. Kevrekidis, and D. Frantzeskakis,
Stability of discrete solitons in nonlinear Schrodinger lattices,
Physica D, 212,
119 (2005)



D.E. Pelinovsky, P.G. Kevrekidis, and D. Frantzeskakis,
Persistence and stability of discrete vortices in nonlinear Schrodinger lattices,
Physica D, 212,
2053 (2005)






Proceedings papers: 


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. CarreteroGonzalez, J. CuevasMaraver, D. Frantzeskakis, N. Karachalios, P. Kevrekidis,
and F. PalmeroAcebedo) (Springer, NY) pp. 359376
(2014)



C. Chong and D.E. Pelinovsky,
Variational approximations of bifurcations of asymmetric
solitons in cubicquintic nonlinear Schrodinger lattices,
Discrete and Continuous Dynamical Systems Series S 4,
10191031 (2011)
