117518082
Forbush effect in solar proton intensity
121231645
Violation of scale invariance in hadron interactions at super-high energies
It is shown that, when the scaling in hadron interactions is valid at energies of about 2 x 10'*eV for x = 0.1-1.0 accurate within loo/& the extrapolation of the 'scaling model' to the super-high-energy range 1015-10'7 eV contradicts the experimental data on extensive air showers (EAS).
118194329
STUDY OF RADIO EMISSION FROM EXTENSIVE AIR SHOWERS BY MEANS OF A SYSTEM OF HALF-WAVE DIPOLES IN THE COMPLEX ARRAY OF THE MOSCOW STATE UNIVERSITY.
119120961
Gravitational models with non-local scalar fields
A general class of f(R) gravity models with minimally coupling a nonlocal scalar field is considered. The Ostrogradski representation for nonlocal gravitational models with a quadratic potential and the way of its localization are proposed. We study the action with an arbitrary analytic function $F(\Box)$, which has both simple and double roots. The way of localization allows to find particular solutions of nonlocal equations of gravity.
895
Construction of Single-valued Solutions for Nonintegrable Systems with the Help of the Painleve Test
The Painleve test is very useful to construct not only the Laurent-series solutions but also the elliptic and trigonometric ones. Such single-valued functions are solutions of some polynomial first order differential equations. To find the elliptic solutions we transform an initial nonlinear differential equation in a nonlinear algebraic system in parameters of the Laurent-series solutions of the initial equation. The number of unknowns in the obtained nonlinear system does not depend on number of arbitrary coefficients of the used first order equation. In this paper we describe the corresponding algorithm, which has been realized in REDUCE and Maple.
119213200
Stable bounce and inflation in non-local higher derivative cosmology
One of the greatest problems of primordial inflation is that the inflationary space-time is past-incomplete. This is mainly because Einstein's GR suffers from a space-like Big Bang singularity. It has recently been shown that ghost-free, non-local higher-derivative ultra-violet modifications of Einstein's gravity may be able to resolve the cosmological Big Bang singularity via a non-singular bounce. Within the framework of such non-local cosmological models, we are going to study both sub- and super-Hubble perturbations around an inflationary trajectory which is preceded by the Big Bounce in the past, and demonstrate that the inflationary trajectory has an ultra-violet completion and that perturbations do not suffer from any pathologies.
122632671
Solutions of nonlocal cosmological equations
A general class of gravitational models driven by a nonlocal scalar field with a linear or quadratic potential is considered. The Ostrogradski representation for nonlocal gravitational models and the way of its localization are proposed. We study the action with an arbitrary analytic function F(□g), which has both simple and double roots. The way of localization allows to find solutions of nonlocal Einstein equations.
15014387
Construction of Special Solutions for Nonintegrable Dynamical Systems with the Help of the Painleve Analysis
The generalized Henon-Heiles system has been considered. In two nonintegrable cases with the help of the Painleve test new special solutions have been found as Laurent series, de- pending on three parameters. The obtained series converge in some ring. One of parameters determines the singularity point location, other parameters determine coefficients of series. For some values of these parameters the obtained Laurent series coincide with the Laurent series of the known exact solutions. The Painleve test can be used not only to construct local solutions as the Laurent series but also to find elliptic solutions.