Complex dynamics investigations of a mixed Bertrand duopoly game: synchronization and global analysis

Nonlinear Dynamics - In this paper, an economic competition between two firms that want to maximize the weighted-average social welfare and own profits is proposed. This kind of competition is...     

Gamma-ray and sunlight-induced synthesis of silver nanoparticles using bacterial cellulose and cell-free filtrate produced by Komagataeibacter rhaeticus N1 MW322708 strain

Cellulose - Antibacterial coatings based on bacterial cellulose (BC) have been widely used in many fields including food packaging and wound dressing. In this study, we aimed to synthesis of...     

Simulation of positronium plasma by the molecular dynamics method

In this paper, the relaxation properties of a fully ionized, hot, ideal plasma have been studied using the molecular dynamics method. As an example, the classical problem of equalization of the electron and ion temperatures for various mass ratios is considered, the relaxation times for temperatures is determined, and the influence of the number of particles and the type of boundary conditions on the simulation results is studied. The simulation results are compared with the available theoretical results.     

Fractal analysis of time series in oil and gas production

The peculiarities of fractal characteristics’ calculations for time series are described in this article. An algorithm for calculation of fractal dimension is suggested. It has been proved that the suggested method possesses high accuracy and the rapidity of convergence on the limited number of measurements compared to the methods of covering.The criteria of early diagnosis for changes in the condition of hydrodynamic processes, which do not vary by fractal dimension, have been recommended.The presented method is applicable for practical engineering calculations with self-affine, chaotic data, usually with relatively limited number of measurements. It is quite a simple method for calculation of fractal dimension, algorithm can be easily realized and it should be useful for engineers.The applicability of the proposed algorithm for fractal dimension calculation and early diagnosis criteria of qualitative changes in the behaviour of various dynamic systems has been tested both on simulated as well as practical examples of oil and gas production.     

Resonant non-linear vibrations in continuous systems—I. Undamped case

A method is presented for obtaining periodic solutions to forced oscillations of non-linear systems governed by equations of the form u_ss?u_yy?εf(u,u,_y,u_yy…,s) = 0. The method is presented by application to the equation u_ss?u_yy?εu²_yu_yy= 0 which governs the vibrations of a soil layer that is free on the top surface and is forced harmonically at the bedrock. It is shown that unlike the ODE case (Duffing equation), the PDE requires an infinite number of periodicity conditions to correctly characterize the resonant region and these conditions lead to an infinite number of branches in the dispersion spectrum. Calculations indicate that these branches tend to an envelope curve. The uniform approach presented by Millmann and Keller is discussed in order to determine in what sense it can be viewed as an effective approximation for the fundamental mode.     

Instability and disruption of precision cumulation of cavities and mass flows in the field of gravitational and inertial forces and other dipole perturbations

The effect of gravitational and inertial forces on the precision cumulation of cavities, fast mass flows, and detonation and shock waves is studied in stages. The possible effects of these forces on the motion of masses and waves (the velocity, direction and structure of the waves can change) and on the properties of the medium in front of the waves that influence the change in the parameters and refraction of the waves are noted. It is shown that it is advantageous to perform precision cumulation experiments in zero-gravity. Zh. éksp. Teor. Fiz. 111, 2001–2015 (June 1997)     

Resonant non-linear waves—III. Elastic continuum with quadratic non-linearity

The paper derives the relevant non-linear integro-differential evolution equation by the method due to Collins expanding on a procedure by Keller. The quadratically non-linear case is not a trivial variation over the cubically non-linear case that was presented in preceding papers. As expected a different scaling and ordering of terms is needed and the first order perturbation solution provides no information on resonance. Nevertheless, although obtained by much longer calculations, the final equation for the present case is of identical form, with differences only in numerical coefficients, with the cubic case that was presented and solved earlier.     

Channels in rotating liquids for conducting discharges, transporting currents and particle and radiation fluxes, and lowering breakdown thresholds

The formation of gas channels in rotating liquids is investigated and the application of such channels as capillaries for high-power discharges in x-ray lasers, for transporting particle and radiation fluxes, and lowering breakdown thresholds (including with the use of metal fillings), for structural systems for microwave generation and particle acceleration, and for photochemical and shock action on a liquid, and so on, is discussed. It is noted that tubular active elements and samples can be fabricated by solidification and crystallization during rotation. Pis’ma Zh. éksp. Teor. Fiz. 65, No. 3, 291–294 (10 February 1997)