Chimera states in a system of stationary and flying-through deterministic particles with an internal degree of freedom.

We consider the effect of the emergence of chimera states in a system of coexisting stationary and flying-through in potential particles with an internal degree of freedom determined by the phase. All particles tend to an equilibrium state with a small number of potential wells, which leads to the emergence of a stationary chimera. An increase in the number of potential wells leads to the emergence of particles flying-through along the medium, the phases of which form a moving chimera.

Blue sky catastrophe in the phenomenological model of neuron-astrocyte interaction.

We study a bifurcation scenario that corresponds to the transition from bursting activity to spiking in a phenomenological model of neuron-astrocyte interaction in neuronal populations. In order to do this, we numerically obtain one-dimensional Poincaré return map and highlight its bifurcation structure using an analytically constructed piecewise smooth model map. This map reveals the existence of a cascade of period-adding bifurcations, leading to a bursting-spiking transition via blue sky catastrophe.

Dynamics of large oscillator populations with random interactions.

We explore large populations of phase oscillators interacting via random coupling functions. Two types of coupling terms, the Kuramoto-Daido coupling and the Winfree coupling, are considered. Under the assumption of statistical independence of the phases and the couplings, we derive reduced averaged equations with effective non-random coupling terms.

Dynamics of Oscillator Populations Globally Coupled with Distributed Phase Shifts.

We consider a population of globally coupled oscillators in which phase shifts in the coupling are random. We show that in the maximally disordered case, where the pairwise shifts are independent identically distributed random variables, the dynamics of a large population reduces to one without randomness in the shifts but with an effective coupling function, which is a convolution of the original coupling function with the distribution of the phase shifts. This result is valid for noisy oscillators and/or in the presence of a distribution of natural frequencies.

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 a 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 a 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.

Cyclops States in Repulsive Kuramoto Networks: The Role of Higher-Order Coupling.

Repulsive oscillator networks can exhibit multiple cooperative rhythms, including chimera and cluster splay states. Yet, understanding which rhythm prevails remains challenging. Here, we address this fundamental question in the context of Kuramoto-Sakaguchi networks of rotators with higher-order Fourier modes in the coupling.

Travelling chimeras in oscillator lattices with advective-diffusive coupling.

We consider a one-dimensional array of phase oscillators coupled via an auxiliary complex field. While in the seminal chimera studies by Kumamoto and Battogtokh only diffusion of the field was considered, we include advection which makes the coupling left-right asymmetric. Chimera starts to move and we demonstrate that a weakly turbulent moving pattern appears.

Stability of rotatory solitary states in Kuramoto networks with inertia.

Solitary states emerge in oscillator networks when one oscillator separates from the fully synchronized cluster and oscillates with a different frequency. Such chimera-type patterns with an incoherent state formed by a single oscillator were observed in various oscillator networks; however, there is still a lack of understanding of how such states can stably appear. Here, we study the stability of solitary states in Kuramoto networks of identical two-dimensional phase oscillators with inertia and a phase-lagged coupling.

Disorder fosters chimera in an array of motile particles.

We consider an array of nonlocally coupled oscillators on a ring, which for equally spaced units possesses a Kuramoto-Battogtokh chimera regime and a synchronous state. We demonstrate that disorder in oscillators positions leads to a transition from the synchronous to the chimera state. For a static (quenched) disorder we find that the probability of synchrony survival depends on the number of particles, from nearly zero at small populations to one in the thermodynamic limit.

Appearance of chaos and hyperchaos in evolving pendulum network.

The study of deterministic chaos continues to be one of the important problems in the field of nonlinear dynamics. Interest in the study of chaos exists both in low-dimensional dynamical systems and in large ensembles of coupled oscillators. In this paper, we study the emergence of chaos in chains of locally coupled identical pendulums with constant torque.

Locking and regularization of chimeras by periodic forcing.

We study how a chimera state in a one-dimensional medium of nonlocally coupled oscillators responds to a homogeneous in space periodic in time external force. On a macroscopic level, where a chimera can be considered as an oscillating object, forcing leads to entrainment of the chimera's basic frequency inside an Arnold tongue. On a mesoscopic level, where a chimera can be viewed as an inhomogeneous, stationary, or nonstationary pattern, strong forcing can lead to regularization of an unstationary chimera.

Nontrivial coupling of light into a defect: the interplay of nonlinearity and topology.

The flourishing of topological photonics in the last decade was achieved mainly due to developments in linear topological photonic structures. However, when nonlinearity is introduced, many intriguing questions arise. For example, are there universal fingerprints of the underlying topology when modes are coupled by nonlinearity, and what can happen to topological invariants during nonlinear propagation? To explore these questions, we experimentally demonstrate nonlinearity-induced coupling of light into topologically protected edge states using a photonic platform and develop a general theoretical framework for interpreting the mode-coupling dynamics in nonlinear topological systems.

Correction to: The effect of (Cestoda: Bothriocephalidea) infection on some biochemical parameters of the liver of .

[This corrects the article DOI: 10.1007/s12639-019-01128-0.].

The effect of (Cestoda: Bothriocephalidea) infection on some biochemical parameters of the liver of .

Natural infection of 2 to 6-year-old perch with the cestode parasites was shown to have minor effects on the studied components of the antioxidant defense system, nucleic acids degradation, and carbohydrate metabolism enzymes in the liver of the fish. The level of infection of 1-4 parasite larvae per fish observed in wild population of perch was shown to be moderate in terms of its effect on the health of the host fish. The activity of hepatic enzymes β-galactosidase, β-glucosidase, cathepsin D, and glutathione S-transferase showed different responses in infected males and females, which indicates different potential resistance of fish to the stress exposure between genders.

Variety of rotation modes in a small chain of coupled pendulums.

This article studies the rotational dynamics of three identical coupled pendulums. There exist two parameter areas where the in-phase rotational motion is unstable and out-of-phase rotations are realized. Asymptotic theory is developed that allows us to analytically identify borders of instability areas of in-phase rotation motion.

Simple and complex chimera states in a nonlinearly coupled oscillatory medium.

We consider chimera states in a one-dimensional medium of nonlinear nonlocally coupled phase oscillators. In terms of a local coarse-grained complex order parameter, the problem of finding stationary rotating nonhomogeneous solutions reduces to a third-order ordinary differential equation. This allows finding chimera-type and other inhomogeneous states as periodic orbits of this equation.

[THE SYSTEM OF XENOBIOTICS BIOTRANSFORMATION OF HELMINTHS. RESEMBLANCE AND DIFFERENSES FROM SIMILAR HOST SYSTEMS (REWEW)].

The three phases system xenobiotic biotransformation in cells as prokaryotes as eukaryotes was formed during the process of evolution. Clear and managed function of all three links of this system guarantee the survival of living organisms at alteration of chemical component of environment. Oxidation, reduction or hydrolysis of xenobiotics realize in phase I by insertion or opening reactive and hydrophilic groups in structure of drug molecule.

[BIOCHEMICAL RESPONSE OF BLUE MUSSELS MYTILUS EDULIS L. FROM THE WHITE SEA TO RAPID TEMPERATURE CHANGES].

The effect of a rapid temperature change on the biochemical status of blue mussels Mytilus edulis L. from the White Sea was studied under conditions of aquarium experiment. It is shown that modifications of the composition of reserve and structural lipids and their fatty acids, of the activity of lysosomal enzymes (β-glucosidases, cathepsins B and D), of calcium-dependent proteases of cytocol (calpains) and of the enzyme of the second phase of biotransformation of xenobiotics - glutathione-S-transferase, reflect an unspecific compensatory reaction of bivalves to stress action of environmental factors and indicate reconstruction of blue mussel metabolism as early as within first hours of temperature change.

[Irreversible chemical AFM-fishing for the detection of low-copied proteins].

The atomic-force microscopy-based method of irreversible chemical AFM-fishing (AFM-IF(Ch)) has been developed for the detection of proteins at ultra-low concentrations in solution. Using this method, a very low concentration of horseradish peroxidase (HRP) protein (10(-17) M) was detected in solution. A theoretical model that allows the description of obtained experimental data, is proposed.

[Glutathione S-transferase of alpha class from pike liver].

In this study, glutathione S-transferase (GST) was isolated from the liver of pike Esox lucius, which was homogenous according to SDS-PAGE and isoelectrofocusing. It is a homodimer with subunits mass 25235.36 Da (according to HPLC-MS/MS) and pI about 6.