670 research outputs found
Spiral attractors as the root of a new type of "bursting activity" in the Rosenzweig-MacArthur model
We study the peculiarities of spiral attractors in the Rosenzweig-MacArthur
model, that describes dynamics in a food chain "prey-predator-superpredator".
It is well-known that spiral attractors having a "teacup" geometry are typical
for this model at certain values of parameters for which the system can be
considered as slow-fast system. We show that these attractors appear due to the
Shilnikov scenario, the first step in which is associated with a supercritical
Andronov-Hopf bifurcation and the last step leads to the appearance of a
homoclinic attractor containing a homoclinic loop to a saddle-focus equilibrium
with two-dimension unstable manifold. It is shown that the homoclinic spiral
attractors together with the slow-fast behavior give rise to a new type of
bursting activity in this system. Intervals of fast oscillations for such type
of bursting alternate with slow motions of two types: small amplitude
oscillations near a saddle-focus equilibrium and motions near a stable slow
manifold of a fast subsystem. We demonstrate that such type of bursting
activity can be either chaotic or regular
Pharmacological correction of immune disorders in patients with chronic heart failure and ischemic heart disease
Currently, there are few data on the effect of cardiovascular drugs on the immune status of patients with heart failure (HF). This paper provides information on the impact of ß-adrenergic blocking agent (BAB), angiotensin-converting enzyme inhibitors (ACEI) on the maintenance of markers of immune inflammation in the blood, as well as on inhibition of synthesis of tumor necrosis factor-α (TNF-α) and on blocking of interaction between TNF-α and membrane receptor
Electronic properties of disclinated flexible membrane beyond the inextensional limit: Application to graphene
Gauge-theory approach to describe Dirac fermions on a disclinated flexible
membrane beyond the inextensional limit is formulated. The elastic membrane is
considered as an embedding of 2D surface into R^3. The disclination is
incorporated through an SO(2) gauge vortex located at the origin, which results
in a metric with a conical singularity. A smoothing of the conical singularity
is accounted for by replacing a disclinated rigid plane membrane with a
hyperboloid of near-zero curvature pierced at the tip by the SO(2) vortex. The
embedding parameters are chosen to match the solution to the von Karman
equations. A homogeneous part of that solution is shown to stabilize the
theory. The modification of the Landau states and density of electronic states
of the graphene membrane due to elasticity is discussed.Comment: 15 pages, Journal of Physics:Condensed Matter in pres
Synchronization transitions and sensitivity to asymmetry in the bimodal Kuramoto systems with Cauchy noise
We analyze the synchronization dynamics of the thermodynamically large
systems of globally coupled phase oscillators under Cauchy noise forcings with
bimodal distribution of frequencies and asymmetry between two distribution
components. The systems with the Cauchy noise admit the application of the
Ott-Antonsen ansatz, which has allowed us to study analytically synchronization
transitions both in the symmetric and asymmetric cases. The dynamics and the
transitions between various synchronous and asynchronous regimes are shown to
be very sensitive to the asymmetry degree whereas the scenario of the symmetry
breaking is universal and does not depend on the particular way to introduce
asymmetry, be it the unequal populations of modes in bimodal distribution, the
phase delay of the Kuramoto-Sakaguchi model, the different values of the
coupling constants, or the unequal noise levels in two modes. In particular, we
found that even small asymmetry may stabilize the stationary partially
synchronized state, and this may happen even for arbitrarily large frequency
difference between two distribution modes (oscillator subgroups). This effect
also results in the new type of bistability between two stationary partially
synchronized states: one with large level of global synchronization and
synchronization parity between two subgroups and another with lower
synchronization where the one subgroup is dominant, having higher internal
(subgroup) synchronization level and enforcing its oscillation frequency on the
second subgroup. For the four asymmetry types, the critical values of asymmetry
parameters were found analytically above which the bistability between
incoherent and partially synchronized states is no longer possible
Prospects for Establishment of Technological Complexes in Machine Building Industry on The Basis of Electromechatronic Propulsion Systems
The authors consider prospects for technological complex establishment in machine building industry on the basis of electromechatronic propulsion systems for production of innovative products with different novelty levels: world, state, brunch, region, etc
Aharonov-Bohm Effect and Disclinations in an Elastic Medium
In this work we investigate quasiparticles in the background of defects in
solids using the geometric theory of defects. We use the parallel transport
matrix to study the Aharonov-Bohm effect in this background. For quasiparticles
moving in this effective medium we demonstrate an effect similar to the
gravitational Aharonov- Bohm effect. We analyze this effect in an elastic
medium with one and defects.Comment: 6 pages, Revtex
Formal groups arising from formal punctured ribbons
We investigate Picard functor of a formal punctured ribbon. We prove that
under some conditions this functor is representable by a formal group scheme.
Formal punctured ribbons were introduced in arXiv:0708.0985.Comment: 42 pages, minor change
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