We present a cellular-automaton model of a reaction-diffusion excitable system with concentration dependent inhibition of the activator, and study the dynamics of mobile localizations (gliders) and their generators. We analyze a three-state totalistic cellular automaton on a twodimensional lattice with hexagonal tiling, where each cell connects with 6 others. We show that a set of specific rule...

Relying on both electromechanical and micromagnetic simulations, we propose a method to control the trajectory of current-driven skyrmions using an electric field in hybrid piezoelectric-magnetic systems. By applying voltage between two lateral electrodes, transverse strain gradient is created, as result nonuniform profile piezoelectric material. Due magnetoelastic coupling, this leads force th...

Abstract The Testimony of Truth ( NHC IX ,3) is characterized by polemic against other Christians and certain aspects Judaism, shows familiarity with Jewish textual traditions. One such case a narrative surrounding Solomon’s building the Jerusalem temple help demons, who are incarcerated in water jars released Roman armies, unknowingly perform an act purification on demon-infected space. This p...

The quantum phase operator has been studied by various authors in the past[1-4]. We here remark on the absence of a hermitian phase operator and the lack of a mathematical basis for ∆N∆φ ≥ 1/2, on the basis of a notion of index or an index theorem. To be specific, we study the simplest one-dimensional harmonic oscillator defined by h = aa+ 1/2 where a and a stand for the annihilation and creati...

This is the Cayley surface when N = 3. The next few are as follows. x4 = x1x3 + 1 2 x2 2 − x1 x2 + 1 4 x1 4 x5 = x1x4 + x2x3 − x1 x3 − x1x2 2 + x1 x2 − 1 5 x1 5 x6 = x1x5 + x2x4 + 1 2 x3 2 − x1 x4 − 2x1x2x3 − 1 3 x2 3 + x1 x3 + 3 2 x1 x2 2 − x1 x2 + 1 6 x1 . Since the first term in (1) is −xN and this is the only occurrence of this variable, these hypersurfaces are polynomial graphs over the re...

We present an implementation of the loop representation of quantum gravity on a square lattice. Instead of starting from a classical lattice theory, quantizing and introducing loops, we proceed backwards, setting up constraints in the lattice loop representation and showing that they have appropriate (singular) continuum limits and algebras. The diffeomorphism constraint reproduces the classica...

We show that there exist spurious states for the sector two tensor Hamiltonian in multidimensional supersymmetric quantum mechanics. For one-dimensional supersymmetric quantum mechanics on an infinite domain, the sector one and two Hamiltonians have identical spectra with the exception of the ground state of the sector one. For tensorial multidimensional supersymmetric quantum mechanics, there ...

The control of limit cycle oscillations is discussed for nonlinear delayed feedback systems. Through a center manifold reduction the effects of the control parameters on the periodic behavior are determined. The results are applied to the perturbed harmonic oscillator under the action of delayed feedback of position, which is a prototype system commonly arising in diverse biological and industr...

We study static annihilation on complex networks, in which pairs of connected particles annihilate at a constant rate during time. Through a mean-field formalism, we compute the temporal evolution of the distribution of surviving sites with an arbitrary number of connections. This general formalism, which is exact for disordered networks, is applied to Kronecker, Erdös-Rényi (i.e., Poisson), an...

We have shown in the companion paper II, referred to as D-LI hereafter, that it was possible to introduce in a glass of Lennard-Jones particles, which is to be understood as a plausible model for metallic glasses, point defects that have all the characteristics of vacancies in a crystal. These defects can be introduced in the glass by removing an atom, they can jump over one or several interato...