Arrays of coupled semiconductor lasers are systems possessing radically complex dynamics that makes
them useful for numerous applications in beam forming and beam shaping. In this work, we investigate the
spatial ...
We consider the asymmetric active coupler (AAC) consisting of two coupled dissimilar waveguides with
gain and loss. We show that under generic conditions, not restricted by parity-time symmetry, there
exist finite-power, ...
We examine the role of long–range interactions on the dynamical and statistical properties of two
1D lattices with on–site potentials that are known to support discrete breathers: the Klein–Gordon
(KG) lattice which ...
Kominis, Yannis; Bountis, Tassos; Flach, Sergej(Physical Review A, 2017-06-21)
We analyze the stability of a non-Hermitian coupler with respect to modulational inhomogeneous perturbations
in the presence of unbalanced gain and loss. At the parity-time (PT ) symmetry point the coupler is unstable.
Suitable ...
The fundamental active photonic dimer consisting of two coupled quantum well lasers is inves-
tigated in the context of the rate equation model. Spectral transition properties and exceptional
points are shown to occur ...
Bountis, Tassos; Vanhaecke, Pol(Physics Letters A, 2016-09)
We use a strong version of the Painlevé property to discover and characterize a new class of n-dimensional Hamiltonian Lotka–Volterra systems, which turn out to be Liouville integrable as well as superintegrable. These ...
An interesting problem in solid state physics is to compute discrete breather
solutions in N coupled 1–dimensional Hamiltonian particle chains and investigate
the richness of their interactions. One way to do this is to ...
Kominis, Yannis; Choquette, Kent D.; Bountis, Anastassios; Kovanis, Vassilios(arXiv, 2018-06)
We show the abundance of Exceptional Points in the generic asymmetric configuration of two
coupled diode lasers, under nonzero optical detuning and differential pumping. We pinpoint the
location of these points with ...
Coupled semiconductor lasers are systems possessing complex dynamics that are interesting for
numerous applications in photonics. In this work, we investigate the existence and the stability of
asymmetric phase-locked ...
Antonopoulos, Chris G.; Skokos, Charalampos; Bountis, Tassos; Flach, Sergej(arXiv, 2018-03-19)
In the study of subdiffusive wave-packet spreading in disordered Klein-
Gordon (KG) nonlinear lattices, a central open question is whether the
motion continues to be chaotic despite decreasing densities, or tends to
become ...
Bountis, Tassos; Vanhaecke, Pol(Physics Letters A, 2016-12-09)
Abstract We use a strong version of the Painlevé property to discover and characterize a new class of n-dimensional Hamiltonian Lotka–Volterra systems, which turn out to be Liouville integrable as well as superintegrable. ...
Abstract In the study of subdiffusive wave-packet spreading in disordered Klein–Gordon (KG) nonlinear lattices, a central open question is whether the motion continues to be chaotic despite decreasing densities, or tends ...
La Torre, Davide; Marsiglio, Simone; Mendivil, Franklin; Privileggi, Fabio(Communications in Nonlinear Science and Numerical Simulation, 2018-05-01)
Abstract We analyze a multi-sector growth model subject to random shocks affecting the two sector-specific production functions twofold: the evolution of both productivity and factor shares is the result of such exogenous ...
Betancor, Jorge J.; Castro, Alejandro J.; Fariña, Juan C.; Rodríguez-Mesa, L.(Journal of Mathematical Analysis and Applications, 2017-03-01)
Abstract In this paper we consider conical square functions in the Bessel, Laguerre and Schrödinger settings where the functions take values in UMD Banach spaces. Following a recent paper of Hytönen, van Neerven and Portal ...
Otero, Daniel; La Torre, Davide; Michailovich, Oleg; Vrscay, Edward R.(Signal Processing, 2017-05-01)
Abstract The concept of a mapping, which takes its values in an infinite-dimensional functional space, has been studied by the mathematical community since the third decade of the last century. This effort has produced a ...
Nordström, Kenneth(Linear Algebra and its Applications, 2018-02-01)
Abstract This note is a sequel to an earlier study (Nordström [7]) on convexity properties of the inverse and Moore–Penrose inverse, in which the following question was raised. Given nonnegative definite matrices A and B ...
Wegner, Sven-Ake(Journal of Pure and Applied Algebra, 2017-11-01)
Abstract Consider an exact category in the sense of Quillen. Assume that in this category every morphism has a kernel and that every kernel is an inflation. In their seminal 1982 paper, Beĭlinson, Bernstein and Deligne ...
Melnykov, Igor; Melnykov, Volodymyr(Statistics & Probability Letters, 2014-01-01)
Abstract The K-means algorithm is commonly used with the Euclidean metric. While the use of Mahalanobis distances seems to be a straightforward extension of the algorithm, the initial estimation of covariance matrices can ...
Coupled semiconductor lasers are systems possessing complex dynamics that are interesting for numerous applications in photonics. In this work, we investigate the existence and the stability of asymmetric phase-locked ...
We analyze the stability of a non-Hermitian coupler with respect to modulational inhomogeneous perturbations in the presence of unbalanced gain and loss. At the parity-time (PT) symmetry point the coupler is unstable. ...