On a numerical bifurcation analysis of a particle reaction-diffusion model for a motion of two self-propelled disks

Theoretical analysis using mathematical models is often used to understand a mechanism of collective motion in a self-propelled system. In the experimental system using camphor disks, several kinds of characteristic motions have been observed due to the interaction of two camphor disks. In this paper, we understand the emergence mechanism of the motions caused by the interaction of two self-propelled bodies by analyzing the global bifurcation structure using the numerical bifurcation method for a mathematical model. Finally, it is also shown that the irregular motion, which is one of the characteristic motions, is chaotic motion and that it arises from periodic bifurcation phenomena and quasi-periodic motions due to torus bifurcation.

ENGLISH LESSON AS A SPOT FOR A CREATIVE TEACHER AT A PEDAOGICAL INSTITUTION OF HIGHER EDUCATION

The article provides an overview of alternative activity English lesson forms, including online resources and social servers that can be used at the English lessons while teacher training. Today global informatization of the public causes total extension of social networks and accessible Internet services. The urge of using online learning tools in English lesson is emphasized by the author. The study focuses on the possibilities to use alternative activity lesson forms, as well as the Internet space, in lesson activities in general and the teaching of future English teachers in particular. Social networks contribute to free, cheap, elucidated, and direct contact with the hearers; promote engaging in discussions, learning new topics, acquiring and consolidating new knowledge and skills, assessing their and the colleagues’ activity, thinking reproving; stimulates the higher education applicants’ formation of firm motivation to study foreign languages.Late reviews prove that social networks are very public among higher education applicants all over the world. It helps young people to conjoin on educational, cognitive interests, hobbies, and preferences, and on educational purpose – learning English. All this increase the possibilities of a normal occupation and transfer it to a new stage. The author indicates the ways to develop creative qualities of teachers of English. To educate a creative and successful would-be teacher, it is an educator of a higher education institution who is to use creativity as an inseparable part of his everyday life, but not as a casual irregular motion. Keywords: English teacher training; alternative activity lesson forms; Internet resources; social servers; creative teacher; teacher training institution of higher education; English teaching; information and communication technologies.

Polyharmonic Vibrations of Human Middle Ear Implanted by Means of Nonlinear Coupler

This paper presents a possibility of quasi-periodic and chaotic vibrations in the human middle ear stimulated by an implant, which is fixed to the incus by means of a nonlinear coupler. The coupler represents a classical element made of titanium and shape memory alloy. A five-degrees-of-freedom model of lumped masses is used to represent the implanted middle ear for both normal and pathological ears. The model is engaged to numerically find the influence of the nonlinear coupler on stapes and implant dynamics. As a result, regions of parameters regarding the quasi-periodic, polyharmonic and irregular motion are identified as new contributions in ear bio-mechanics. The nonlinear coupler causes irregular motion, which is undesired for the middle ear. However, the use of the stiff coupler also ensures regular vibrations of the stapes for higher frequencies. As a consequence, the utility of the nonlinear coupler is proven.

Comparative Analysis of Longitudinal and Transverse Vibration Characteristics of Ocean Mining Pipe

In this paper, the 5000 m mining pipe is taken as the research object, and the transverse and longitudinal vibration laws of the pipe under different working conditions are analyzed. Based on the finite element method (FEM), the pipe is discretized and calculated by the Wilson-θ Wilson - θ integral method; finally, the corresponding vibration laws of the mining pipe are obtained. The research shows that the mining pipe vibration responses are irregular motion, with the obvious oscillation phenomenon, and the overall vibration trend decreases first and then increases from the top to the bottom; the maximum vibration response occurs at the pipe top. Under the same working conditions, increasing the towing velocity will decrease the overall longitudinal vibration amplitude and increase the overall transverse vibration amplitude. While the ore bin weight will increase the longitudinal vibration amplitude and decrease the transverse vibration amplitude, increasing the mining pipe large diameter stepped section length and damping will decrease the longitudinal and transverse vibration simultaneously. When the towing velocity is between 0–2.8 m/s, the longitudinal vibration intensity is large, which is the main vibration mode. When the towing velocity is 2.8 m/s, the critical point is reached, and the longitudinal and transverse vibrations have the same intensity. When the towing velocity is greater than 2.8 m/s, the transverse vibration intensity is gradually greater than the longitudinal vibration intensity; at this time, the control of the transverse vibration should be appropriately increased.

When the Music’s No Good: Rhythms Prompt Interactional Synchrony But Impair Affective Communication Outcomes

Spontaneous motion synchrony between interaction partners benefits the interaction. Here we probed how musical rhythms, which are highly temporally organized, modulate this process. We video-taped conversations held in silence or with an auditory background that was metrical and regular (one measure looped), metrical and irregular (different measures in random order), non-metrical and regular, or non-metrical and irregular. Motion time-series derived from the videos entered a cross-wavelet coherence analysis showing that more musical rhythms amplified rhythm-relevant motion frequencies at the level of the individual and facilitated social synchronizing at the level of the dyad. Yet, we also observed rhythm-specific motion interference effects and reduced conversation pleasantness when compared with silence. These results indicate that musical rhythms, perhaps by imposing a temporally rigid mode of synchronizing, hinder rather than further ongoing social processes. Silence or sounds with little temporal organization and predictability seem preferable as a backdrop for interactional exchange.

Numerical Investigation of Free Convection in a Porous Corrugated Cavity Filled With Silver (Ag) Dispersed Nano-Fluid

The present work examines the convective heat transfer characteristics in a two-dimensional (2D) corrugated closed cavity embedded with porous media. The cavity is considered to be filled with silver dispersed water-based nano-fluid. The bottom wall is heated uniformly and non-uniformly in two different cases keeping both side corrugated walls isothermally cold with an adiabatic top wall. The various parameters are selected to perform numerical simulation in the range of solid-volume fraction, 0% ≤ ϕ ≤ 10%, 103 ≤ Ra ≤ 106, and 10−4 ≤ Da ≤ 10−2. The investigation shows that the heat transfer rate shows an increasing trend at high values of Ra and Da due to strong buoyancy forces in uniform and non-uniform heating. However, an increase in heat transfer in uniform heating is more compared to non-uniform heating. It is also observed that the nano-fluid has a great impact on the heat transfer characteristics due to its high value of thermal conductivity and irregular motion of the particles. As a result, the average Nusselt number (Nuavg) shows an increasing trend for increasing solid-volume fraction values.