Cited by
Cited by
Global existence and compact attractors for the discrete nonlinear Schrödinger equation
NI Karachalios, AN Yannacopoulos
Journal of Differential Equations 217 (1), 88-123, 2005
Existence of a global attractor for semilinear dissipative wave equations on RN
NI Karachalios, NM Stavrakakis
journal of differential equations 157 (1), 183-205, 1999
On the dynamics of a degenerate parabolic equation: global bifurcation of stationary states and convergence
NI Karachalios, NB Zographopoulos
Calculus of Variations and Partial Differential Equations 25 (3), 361-393, 2006
Global existence and blow-up results for some nonlinear wave equations on {}
NI Karachalios, NM Stavrakakis
Advances in Differential Equations 6 (2), 155-174, 2001
Convergence towards attractors for a degenerate Ginzburg-Landau equation
NI Karachalios, NB Zographopoulos
Zeitschrift für angewandte Mathematik und Physik ZAMP 56 (1), 11-30, 2005
A remark on the existence of breather solutions for the discrete nonlinear Schrödinger equation in infinite lattices: the case of site-dependent anharmonic parameters
NI Karachalios
Proceedings of the Edinburgh Mathematical Society 49 (1), 115-129, 2006
Thresholds for breather solutions on the Discrete Nonlinear Schr\" odinger Equation with saturable and power nonlinearity
J Cuevas, JC Eilbeck, NI Karachalios
arXiv preprint nlin/0609023, 2006
Localized excitations in nonlinear complex systems
R Carretero-González, J Cuevas-Maraver, D Frantzeskakis, ...
Springer International Pu, 2016
Estimates on the dimension of a global attractor for a semilinear dissipative wave equation on
NI Karachalios, NM Stavrakakis
Discrete & Continuous Dynamical Systems-A 8 (4), 939, 2002
Floquet analysis of Kuznetsov-Ma breathers: A path towards spectral stability of rogue waves
J Cuevas-Maraver, PG Kevrekidis, DJ Frantzeskakis, NI Karachalios, ...
Physical Review E 96 (1), 012202, 2017
Global attractor for the weakly damped driven Schrödinger equation in
NI Karachalios, NM Stavrakakis
Nonlinear Differential Equations and Applications NoDEA 9 (3), 347-360, 2002
Asymptotic behavior of solutions of complex discrete evolution equations: the discrete Ginzburg-Landau equation
NI Karachalios, HE Nistazakis, AN Yannacopoulos
arXiv preprint math/0503297, 2005
Global attractors and convergence to equilibrium for degenerate Ginzburg–Landau and parabolic equations
NI Karachalios, NB Zographopoulos
Nonlinear Analysis: Theory, Methods & Applications 63 (5-7), e1749-e1768, 2005
Parametric exponential energy decay for dissipative electron-ion plasma waves
NI Karachalios, NM Stavrakakis, P Xanthopoulos
Zeitschrift für angewandte Mathematik und Physik ZAMP 56 (2), 218-238, 2005
Asymptotic behavior of solutions of some nonlinearly damped wave equations on
N Karachalios, N Stavrakakis
Topological Methods in Nonlinear Analysis 18 (1), 73-87, 2001
Escape dynamics in the discrete repulsive ϕ4 model
V Achilleos, A Álvarez, J Cuevas, DJ Frantzeskakis, NI Karachalios, ...
Physica D: Nonlinear Phenomena 244 (1), 1-24, 2013
The number of bound states for a discrete Schrödinger operator on, lattices
NI Karachalios
Journal of Physics A: Mathematical and Theoretical 41 (45), 455201, 2008
The semiflow of a reaction diffusion equation with a singular potential
NI Karachalios, NB Zographopoulos
manuscripta mathematica 130 (1), 63-91, 2009
Dynamical playground of a higher-order cubic Ginzburg-Landau equation: From orbital connections and limit cycles to invariant tori and the onset of chaos
V Achilleos, AR Bishop, S Diamantidis, DJ Frantzeskakis, TP Horikis, ...
Physical Review E 94 (1), 012210, 2016
Weyl’s type estimates on the eigenvalues of critical Schrödinger operators
NI Karachalios
Letters in Mathematical Physics 83 (2), 189-199, 2008
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