282 research outputs found
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.
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
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
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
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