In a recent paper, wavelet analysis was used to perturb the coupling matrix in an array of identical chaotic systems in order to improve its synchronization. As the synchronization criterion is determined by the second smallest eigenvalue λ2 of the coupling matrix, the problem is equivalent to studying how λ2 of the coupling matrix changes with perturbation. In the aforementioned paper, a small...

We construct a minimal supersymmetric SO(10) grand unified model in 5 dimensions. The extra dimension is compactified on an S/(Z2 × Z ′ 2) orbifold which has two inequivalent fixed points. These are flat 4-dimensional Minkowski spaces: the visible and the hidden branes. By orbifolding, the gauge symmetry on the hidden brane is reduced down to the Pati–Salam gauge symmetry SU(4)×SU(2)L×SU(2)R. O...

Recent results presented in the structure functions working group are briefly summarized for the following topics: The theoretical treatment of heavy quarks in structure functions, higher-order corrections for the leading-twist evolution (including small-x resummations), the present status of the proton's parton densities, and the impact of higher twists on determinations of the strong coupling...

The procedure of reducing of canonical field degrees of freedom for a system of charged particles plus electromagnetic field in the constraint Hamiltonian formalism is developed up to the first order in the coupling constant expansion. The canonical realization of the Poincaré algebra in the terms of physical variables is found. The relation between covariant and physical particle variables in ...