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 ...
Rat, Sara(Nazarbayev University School of Science and Technology, 2018)
The Financial Risk Management (FRM) aims to identify, measure and manage risks in different sectors. One of the core things during such operations is measuring different dependencies. Linear correlation is known as one of ...
Omarov, Daniyar(Nazarbayev University School of Science and Technology, 2018)
A novel procedure based on the Sturm’s theorem for real-valued polynomials is developed to predict and identify periodic solutions and non-periodic solutions in the pull-in analysis of a graphene-based MEMS lumped parameter ...
Madiyeva, Aigerim(Nazarbayev University School of Science and Technology, 2018-05-10)
In this Capstone Project, we analyze a second order nonlinear ordinary differential equation (NODE), y^" (x)=f(y^',y) that is impossible to solve analytically. First, using the Taylor Power Series method, we obtain a series ...
Kabdolov, Olzhas(Nazarbayev University School of Science and Technology, 2018-05)
Recurrent neural networks are very powerful sequence models which are used for language modeling as well. Under correct regularization such as naive dropout these models are able to achieve substantial improvement in their ...
Shakir, Akyl(Nazarbayev University School of Science and Technology, 2018-05)
We apply singularity analysis in complex time to investigate the solutions of a dynamical system of one degree of freedom related to the oscillations of a Micro-Electro-Mechanical System (MEMS) of nonlinear elasticity. ...
Amangeldi, Medeu(Nazarbayev University School of Science and Technology, 2018-05-13)
This paper presents the application of an iterative approach for prediction of uranium price by model identification, parameter estimation and diagnostic checking which are designed by Box and Jenkins. In particular, the ...
Alekberova, Nargiz(Nazarbayev University School of Science and Technology, 2018-05-10)
This project presents a generalization of the classical logistic and the Gompertz model by using two parameter power law exponent. The suggested generalized with two parameters models was shown by numerical example to be ...
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 ...