The effect of noise on the dynamics of a complex map at the period-tripling accumulation point

As shown recently (O.B.Isaeva et al., Phys.Rev E64, 055201), the phenomena intrinsic to dynamics of complex analytic maps under appropriate conditions may occur in physical systems. We study scaling regularities associated with the effect of additive noise upon the period-tripling bifurcation cascade generalizing the renormalization group approach of Crutchfield et al. (Phys.Rev.Lett., 46, 933) and Shraiman et al. (Phys.Rev.Lett., 46, 935), originally developed for the period doubling transition to chaos in the presence of noise. The universal constant determining the rescaling rule for the intensity of the noise in period-tripling is found to be $\gamma=12.2066409...$ Numerical evidence of the expected scaling is demonstrated.Comment: 9 pages, 4 figure

Entanglement in the Process of Stimulated Brillouin Scattering of Light

The process of stimulated Brillouin scattering is described by the model of two-dimensional oscillator. The phenomenon of entanglement which appears in the photon-phonon modes after the interaction with matter is discussed.Comment: 4 pages, LaTe

Lyapunov exponents of quantum trajectories beyond continuous measurements

Quantum systems interacting with their environments can exhibit complex non-equilibrium states that are tempting to be interpreted as quantum analogs of chaotic attractors. Yet, despite many attempts, the toolbox for quantifying dissipative quantum chaos remains very limited. In particular, quantum generalizations of Lyapunov exponent, the main quantifier of classical chaos, are established only within the framework of continuous measurements. We propose an alternative generalization which is based on the unraveling of a quantum master equation into an ensemble of so-called 'quantum jump' trajectories. These trajectories are not only a theoretical tool but a part of the experimental reality in the case of quantum optics. We illustrate the idea by using a periodically modulated open quantum dimer and uncover the transition to quantum chaos matched by the period-doubling route in the classical limit.Comment: 5 pages, 4 figure

Belyakov homoclinic bifurcations in a tritrophic food chain model

Complex dynamics of the most frequently used tritrophic food chain model are investigated in this paper. First it is shown that the model admits a sequence of pairs of Belyakov bifurcations (codimension-two homoclinic orbits to a critical node). Then fold and period-doubling cycle bifurcation curves associated to each pair of Belyakov points are computed and analyzed. The overall bifurcation scenario explains why stable limit cycles and strange attractors with dierent geometries can coexist. The analysis is conducted by combining numerical continuation techniques with theoretical arguments

IMMUNOPATHOGENETIC FEATURES OF MONONUCLEOSIS IN CHILDREN WITH VARIOUS MICROBIAL FLORA OF THE RHINOPHARYNX

One of the most common childhood diseases is infectious mononucleosis (IM), which Epstein-Barr virus (EBV) is a causative factor. According to WHO statistics, more than 5 million children die every year from the indicated infectious pathology and its consequences in the world. Streptococcus pyogenes, Streptococcus pneumoniae and other Streptococcus, Enterococcus, Lactobacillus Actinomices, Neisseria, Actinomyces, Clostridium, Pseudomonas, Staphylococus epidermidis, Staphylococus aureus are most often detected in the oral cavity and nasopharynx. In the available literature there are practically no works that would consider the effect of microbial flora of the mucous membrane of the rhinopharynx on the formation of the immune response of children with IM.One of the most common childhood diseases is infectious mononucleosis (IM), which Epstein-Barr virus (EBV) is a causative factor. According to WHO statistics, more than 5 million children die every year from the indicated infectious pathology and its consequences in the world. Streptococcus pyogenes, Streptococcus pneumoniae and other Streptococcus, Enterococcus, Lactobacillus Actinomices, Neisseria, Actinomyces, Clostridium, Pseudomonas, Staphylococus epidermidis, Staphylococus aureus are most often detected in the oral cavity and nasopharynx. In the available literature there are practically no works that would consider the effect of microbial flora of the mucous membrane of the rhinopharynx on the formation of the immune response of children with IM