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Nov 09, 2016
Dynamical Systems

Wild oscillations in a nonlinear neuron model with resets: (I) Bursti…

In a series of two papers, we investigate the mechanisms by which complex oscillations are generated in a class of nonlinear dynamical systems with r…
Feb 12, 2018
Atomic Physic
Chemical Physics

We present tabulated data for the nuclear magnetic shielding constants ($\sigma$) of the Dirac one-electron atoms with a pointlike, motionless and spinless nucleus of charge $Ze$. Utilizing the exact general analytical formula for $\sigma$ derived b…

Nuclear magnetic shielding constants of Dirac one-electron atoms in s…

We present tabulated data for the nuclear magnetic shielding constants ($\sigma$) of the Dirac one-electron atoms with a pointlike, motionless and sp…
Oct 26, 2014
Numerical Analysis

A Mathematica Program for heat source function of 1D heat equation …

We solve an inverse problem for the one-dimensional heat diffusion equation. We reconstruct the heat source function for the three types of data: 1) …
Sep 28, 2015
Dynamical Systems

Wild oscillations in a nonlinear neuron model with resets: (II) Mix…

This work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal vol…
Nov 21, 2008

W-like bound entangled states and secure key distillation

We construct multipartite entangled states with underlying W-type structure satisfying positive partial transpose (PPT) condition under any (N-1)|1 p…
Feb 05, 2017
Dynamical Systems
Classical Analysis and ODEs
Functional Analysis
Symplectic Geometry

On the existence of homoclinic type solutions of inhomogenous Lagrang…

We study the existence of homoclinic type solutions for second order Lagrangian systems of the type $\ddot{q}(t)-q(t)+a(t)\nabla G(q(t))=f(t)$, where…
Apr 29, 2017
Combinatorics

A characterization of trees having a minimum vertex cover which is al…

A vertex cover of a graph $G = (V, E)$ is a set $X \subseteq V$ such that each edge of $G$ is incident to at least one vertex of $X$. A dominating se…
Apr 03, 2012
Combinatorics

Bondage number of grid graphs

The bondage number $b(G)$ of a nonempty graph $G$ is the cardinality of a smallest set of edges whose removal from $G$ results in a graph with domina…
Jan 27, 2017

Quantum Entanglement in Time

In this paper we present a concept of quantum entanglement in time in a context of entangled consistent histories. These considerations are supported…
Jul 25, 2008

Nonadditivity effects in classical capacities of quantum multiple-acc…

We study classical capacities of quantum multi-access channels in geometric terms revealing breaking of additivity of Holevo-like capacity. This effe…
Oct 12, 2011

Schemes of transmission of classical information via quantum channels…

Superadditivity effects in the classical capacity of discrete multi-access channels (MACs) and continuous variable (CV) Gaussian MACs are analysed. N…
Apr 30, 2009

Quantum superadditivity in linear optics networks: sending bits via …

We study classical capacity regions of quantum Gaussian multiple access channels (MAC). In classical variants of such channels, whilst some capacity …
Feb 19, 2017
Quantum Gases

Super-Heisenberg behaviour at quantum criticality and its ultra-cold …

Quantum estimation theory has two complementary approaches that benefit from the behavior of fidelity of quantum states. In the first one, the origin…
Apr 14, 2016

Monogamy of quantum entanglement in time

In this paper we state a fundamental question about the structure of correlations in time and analyze temporal monogamy relations. We show that the n…
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