Birhythmicity, Synchronization, and Turbulence in an Oscillatory System with Nonlocal Inertial Coupling

We consider a model where a population of diffusively coupled limit-cycle oscillators, described by the complex Ginzburg-Landau equation, interacts nonlocally via an inertial field. For sufficiently high intensity of nonlocal inertial coupling, the system exhibits birhythmicity with two oscillation modes at largely different frequencies. Stability of uniform oscillations in the birhythmic region is analyzed by means of the phase dynamics approximation. Numerical simulations show that, depending on its parameters, the system has irregular intermittent regimes with local bursts of synchronization or desynchronization.Comment: 21 pages, many figures. Paper accepted on Physica

Bifurcation analysis of a model of the budding yeast cell cycle

We study the bifurcations of a set of nine nonlinear ordinary differential equations that describe the regulation of the cyclin-dependent kinase that triggers DNA synthesis and mitosis in the budding yeast, Saccharomyces cerevisiae. We show that Clb2-dependent kinase exhibits bistability (stable steady states of high or low kinase activity). The transition from low to high Clb2-dependent kinase activity is driven by transient activation of Cln2-dependent kinase, and the reverse transition is driven by transient activation of the Clb2 degradation machinery. We show that a four-variable model retains the main features of the nine-variable model. In a three-variable model exhibiting birhythmicity (two stable oscillatory states), we explore possible effects of extrinsic fluctuations on cell cycle progression.Comment: 31 pages,13 figure

Onset of Collective Oscillation in Chemical Turbulence under Global Feedback

Preceding the complete suppression of chemical turbulence by means of global feedback, a different universal type of transition, which is characterized by the emergence of small-amplitude collective oscillation with strong turbulent background, is shown to occur at much weaker feedback intensity. We illustrate this fact numerically in combination with a phenomenological argument based on the complex Ginzburg-Landau equation with global feedback.Comment: 6 pages, 8 figures; to appear in Phys. Rev.

Taking into consideration traditional gender norms and stereotypes in gender inequality and women’s political participation in Mongolia

B-D

Mongolia’s external environment: current status and future trends of regional and multilateral cooperation

Today, the economic globalization is staging and regional trade and economic integration is gaining strength. This trend is more accelerated from the proportion of the COVID-19 pandemic in 2020. In this context, the countries revised their foreign policies and determined their priorities for cooperation. In this article, Author analyzes the political and economic environment of Mongolia and the main tendencies of its foreign trade and economic cooperation with other countries, including Asian and neighboring countries

Profiles, potential and string tension of the flux tube in SU(2) and SU(3) lattice gauge theories

In this work, we have studied SU(2) and SU(3) gauge theories explaining the colour interaction of a quark and an antiquark, and their identical and dissimilar properties. Using both gauge theories, we have performed simulations under similar conditions and have studied the differences in the results obtained. We have compared the transverse and longitudinal profiles of the chromoelectric and chromomagnetic components of the field strength,  potential, and temperature-dependent string tension of the flux tube. The potential between the quark and antiquark of the SU(3) theory was larger than that of the SU(2) under all temperatures. The string tension of SU(3) tends to stabilize starting from the critical temperature while that of SU(2) has a gradual decreasing feature

Finding a suitable fit function used to determine the Physical width of the Flux tube with Dynamical fermions

We have determined the width of the flux tube for several temperatures and distances using four different fit functions in order to determine the appropriate function that fits the data of the middle transverse distribution of flux tube with the dynamical fermions. Our results have revealed that only one fitting function cannot determine the width of the flux tube at the given temperatures and distances. We conclude that appropriate fit functions are a four coefficient function where R < 0.8 fm and where Gaussian function is R > 0.8 fm