2,304 research outputs found
The Adler -function for SQCD regularized by higher covariant derivatives in the three-loop approximation
We calculate the Adler -function for SQCD in the three-loop
approximation using the higher covariant derivative regularization and the
NSVZ-like subtraction scheme. The recently formulated all-order relation
between the Adler function and the anomalous dimension of the matter
superfields defined in terms of the bare coupling constant is first considered
and generalized to the case of an arbitrary representation for the chiral
matter superfields. The correctness of this all-order relation is explicitly
verified at the three-loop level. The special renormalization scheme in which
this all-order relation remains valid for the -function and the anomalous
dimension defined in terms of the renormalized coupling constant is constructed
in the case of using the higher derivative regularization. The analytic
expression for the Adler function for SQCD is found in this scheme
to the order . The problem of scheme-dependence of the
-function and the NSVZ-like equation is briefly discussed.Comment: 25 pages, 2 figures; the version accepted for publication in Nuclear
Physics
Emergence of chaotic attractor and anti-synchronization for two coupled monostable neurons
The dynamics of two coupled piece-wise linear one-dimensional monostable maps
is investigated. The single map is associated with Poincare section of the
FitzHugh-Nagumo neuron model. It is found that a diffusive coupling leads to
the appearance of chaotic attractor. The attractor exists in an invariant
region of phase space bounded by the manifolds of the saddle fixed point and
the saddle periodic point. The oscillations from the chaotic attractor have a
spike-burst shape with anti-phase synchronized spiking.Comment: To be published in CHAO
Integrated model of channels of power supplies of a stationary plasma engine
The integrated model of power supply channels of a stationary plasma engine, including models of the solar battery, the anode - cathode discharge channel and systems of power supplies is investigated. The algorithm of functioning of model and the diagrams of current and voltage of discharge for various engine work modes is shown. With the help of the obtained diagrams the greatest overregulation in system with four closed feedback is determined and on the basis of «the filter hypothesis» the conclusion about its stability is made. The proposed model allows to simulate all operating modes of power supplies system, and also to model various variants of start of the engine and work of various types of thermochokes
Dynamic image recognition in a spiking neuron network supplied by astrocytes
Mathematical model of spiking neuron network (SNN) supplied by astrocytes is
investigated. The astrocytes are specific type of brain cells which are not
electrically excitable but inducing chemical modulations of neuronal firing. We
analyzed how the astrocytes influence on images encoded in the form of dynamic
spiking pattern of the SNN. Serving at much slower time scale the astrocytic
network interacting with the spiking neurons can remarkably enhance the image
recognition quality. Spiking dynamics was affected by noise distorting the
information image. We demonstrated that the activation of astrocyte can
significantly suppress noise influence improving dynamic image representation
by the SNN.Comment: arXiv admin note: text overlap with arXiv:2210.0101
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