Proceedings, Volume 2, 2018

In this contribution, we are using Lie group theoretical methods

A system of three nonlinear ordinary differential equations

In the field of structural chemistry, many geometrical and structural measures of molecules, clusters or crystals have been largely used to correlate them with physical or chemical properties. [...]

We discuss the Hamiltonian dynamics for cosmologies coming from theories of gravity. [...]

Symmetry undergirds all of science. In fact, at the deepest level, the laws of nature are reflections of symmetry. [...]

We outline symmetry analysis on the Hamilton-Bellman-Jacobi equation [...]

Symmetry reduction is one of the most powerful tools [...]

Einstein’s theory of general relativity is often regarded as the best theory of gravity that we know. [...]

In their treatment of the Airy-Laguerre-Gaussian equation, Zhong, Belic and Zhang constructed an alternative solution for the azimuthal case [...]

Particle path integrals in curved spaces can be employed to compute trace anomalies in quantum field theories, and more generally to study properties of quantum fields coupled to gravity. [...]

We consider the possible application of the two-Higgs-doublet potential of the Minimal Supersymmetric Standard Model (MSSM) to construct inflation scenarios. [...]

The importance of the notion of symmetry in physics is well established: could it also be the case for the genetic code? [...]

In human joint decision-making, a prevalent question is whether the two persons could have solved the tasks equally well on their own, or possibly better as individual task-decision-makers? [...]

Any genome is a symbol sequence from a four-letter alphabet. [...]

In the classical world, it is easy to store a bit of information. [...]

Firstly, a short reminder of the Kaluza-Klein programme and a review of the Coset Space Dimensional Reduction of higher dimensional gauge theories will be given. Then, the “fuzzy sphere” will be presented, as a representative example of a non-commuta...

The relationship between morphological symmetry and mating success in animals varies dramatically across species and populations. The reasons for this heterogeneity in effect size are poorly understood, which has lead to intense debate among evolutio...

Potassium channels are integral membrane proteins that selectively transport K⁺ ions across cell membranes. They function through a pair of gates, which work in tandem to allow the passage of the ions through the channel pore in a coupled system, to...

Let C_s^T, with T > 0 , be the set of continuous [...]

We consider a class of discrete time two-dimensional dynamic systems that are symmetric, i.e., (x’,y’) = T(x,y) such that ToS = SoT, where S: (x,y)→(y,x) is the reflection through the diagonal. Symmetry implies some properties in terms of qualitative...

One of the core concepts essential to understanding natural phenomena and the dynamics of social systems is the concept of “relation”. Social and interconnection networks, traffic systems, chemical structures, etc. can be expressed as relational stru...

This paper discusses the new auspicious trends of internet of things (IoT) and its advanced developments in various sectors of today’s IT arena, including for industrial sectors. Each object acts as a communication node (or entity) that is able to co...

It is well known that the field equations of f(T) gravity break local Lorentz invariance if one a priori assumes a vanishing spin connection, except in the teleparallel equivalent of general relativity (TEGR) case f(T) = T + Λ. One consequence is the...

Quantum spin-orbital liquids are strongly correlated states that emerge from quantum [...]

When drawing small graphs (with up to five or six vertices) we can use their underlying symmetry to represent them in a clear and natural way. [...]

What is the structure of general quantum processes on composite systems that respect a global or local symmetry principle? [...]

The study of plasma instabilities is still a hot topic because of their consequences for the development of applications. [...]

Polyhedra excite the imagination not only of mathematicians, engineers, architects, and artists, but also of biologists and chemists. [...]

Radio frequency interference has been considered a major common issue in wireless communication systems; among several other potential major issues, the emergence and massive development of Internet of things (IoT) is also considered a crucial issue...

The Heisenberg-Euler formula, describing the non-linear effective action of a photon, is generalized to include parity violating effects. Using the formula, how to probe the dark sector via the magnetic birefringence experiments is studied, in which...

Nonlinear generalizations of integrable equations in one-dimension, such as the KdV and Bousinesq equations with p-power nonlinearities, arise in many physical applications and are interesting in analysis due to their critical behaviour. [...]

We propose a new method of determining the structure of an icosahedral virus by exploiting the point-group icosahedral symmetry in the virus particle, which Caspar and Klug (1962) said was very common in virus structures [1]. [...]

In recent years, there has been an increased interest in high dilutions of various substances following the discovery of the released-activity phenomenon. [...]

We studied the structuredness and order in draft assemblies of the Siberian larch [...]

Noether’s theorem provides a systematic method to obtain conservation laws (conserved [..]

The electromagnetic energy-momentum tensor in media has been under discussion for more [...]

The greater symmetry imparted to the Maxwell–Heaviside equations by the existence of [...]

We give an adaptation of the Malliavin Calculus of Bismut type in order to show that an operator [...]

Launched in 2014 as a joint mission by the Japanese Aerospace Exploration Agency (JAXA) and [...]

We construct nonperturbative models of compact stars [...]

Perfect bilateral symmetry is the optimal outcome of the development of bilateral traits in the absence of developmental perturbations. [...]

We study the Lie and Noether point symmetries of a class of systems of second-order differential [...]

4-Aryl substituted dihydropyrimidines (DHPMs), the products of the multicomponent Biginelli [...]

With the development of an integrated sensing network (ISN) which supports generalized [..]

An algebraic solution for arbitrary potential is presented in the context of scalar field [..]

We consider the most general form of the Noether theorem which is suitable for the treatment of global symmetries, described by symmetry-groups, and local symmetries, described by symmetry-algebras, which may not be integrable to symmetry groups. The...

We study a class of isoperimetric problems on R^N with respect to weights that are powers of the distance to the origin. We consider different weights in the volume and in the perimeter. We investigate cases in which, among all smooth sets Ω in R^N wit...

We discuss various theories of modified gravity which aim to describe the whole evolution of the universe, from early-time inflation via radiation/matter dominance and finally to the dark energy era. Such unified evolution may be described in frames...

Dipolar molecules restricted to one single degree of freedom (180° orientation disorder) can produce growth-induced polar order in particular sectors of molecular crystals. [...]

Organic dipole chromophores incorporated into a polymer matrix serve as molecular sources of its nonlinear-optical (NLO) activity. [...]