Plekhanov Russian University of Economics

This study examined the dependence between neural dynamics, functional connectivity, and fluid intelligence in 90 children aged 8–14 years. Resting-state EEG was used to compute detrended fluctuation analysis (DFA), reflecting long-range temporal correlations, and phase-locking value (PLV), reflecting functional connectivity. Fluid intelligence was assessed with Raven’s Progressive Matrices (RPM). DFA exponents in the right frontal alpha band correlated with RPM performance ( p=0.04 ). Alpha-band functional networks predicted individual RPM scores ( R=-0.32, p=0.002 ), and higher frontal DFA was associated with lower clustering in a negatively correlated network ( p=1.9 × 10^-5 ). A classifier distinguished high and low performers with 76 p=0.01 ). These findings demonstrate that fluid intelligence in children is linked to both the temporal stability of alpha oscillations and functional network topology, which are interrelated. Combined DFA and PLV measures may serve as biomarkers of cognitive development.

Eye movements reflect cognitive processing during working memory performance. However, it remains unclear how prolonged task execution and increasing fatigue affect the integrated organization of oculomotor behavior under different memory demands. In this study, we analyzed covariance patterns of trial-wise eye-movement features during a prolonged Sternberg task using a Riemannian geometry framework. To quantify the differentiation between oculomotor states associated with different levels of task demand, we introduced the Oculomotor Differentiation Index (ODI). The results showed that oculomotor states corresponding to different working memory demands were clearly differentiated during the earlier stages of the experiment, but this differentiation progressively weakened and was no longer evident at the final stage. In addition, higher subjective fatigue was associated with lower differentiation between demand-related oculomotor states. These findings suggest that increasing fatigue is associated with a weakening of task-specific oculomotor tuning, so that eye-movement behavior becomes less selectively organized with respect to cognitive demand. The study also shows that a covariance-based manifold approach can capture integrated changes in oculomotor state organization that are not evident from isolated eye-movement measures alone.

The post-Soviet transformation has demonstrated that it is settlement pattern, rather than the distribution of productive forces, that have the greatest impact on the sustainability and socioeconomic development of a territory. Against this backdrop, the evolution of Moscow Oblast, associated with the increasing complexity of socioeconomic ties, increasing spatial contrasts, and expanding dacha suburbanization, requires changes in traditional approaches to studying the capital’s agglomeration and the development of fundamentally new tools for analyzing its internal structure. The author’s methodology, based on clustering commuter flows in the capital region based on mobile operator data for 2022–2023, allowed for the organic combination of belt, sector-radial, and local-agglomeration approaches to analyzing the suburban zone of the Moscow agglomeration, which were previously applied separately. Using the Leiden algorithm, 22 existing settlement pattern clusters were identified and 60 different local structures within them were identified: small agglomerations and autonomous centers. This detailed decomposition allowed us to shed light on the internal structure of the lower tier of the settlement system, which has been underestimated by contemporary Russian geourban studies. The proposed approach helped move beyond the traditional center–periphery view of the Moscow agglomeration, focusing on socioeconomic ties within the suburban zone. The article shows that the apparent homogeneity of the suburban zone conceals a wide variety of local settlement pattern structures formed within it. A pronounced dualism has been revealed among the subcenters existing here, combining Moscow-centrism and autonomy. Despite the fact that most local structures are oriented towards the capital in their external relations, stable commuter flows have developed within and between local structures. This makes them valuable elements of the settlement system, the development of which forms the potential for the polycentric development of the capital agglomeration as a whole.

In this research, the solitary wave solutions, the periodic type, and single soliton solutions are attained. The coupled fractional Lakshmanan–Porsezian–Daniel (LPD) equation is depicted the wave pulses’ physical properties in birefringent optical fibres containing two vector solitons. Here, the Paul–Painlevé operator is employed to investigate kink soliton solutions. Also, the new modified exponential Jacobi technique is used to find periodic wave and soliton, bright-dark soliton. By utilizing symbolic computation and the applied methods, the mentioned system is successfully investigated. The coupled fractional LPD model is exhibited the travelling waves, as shown by the research in the current paper. Through three-dimensional graph, contour graph, density graph, complex-plot, and two-dimensional design using Maple, the physical features of single soliton and periodic wave solutions are explained all right. The findings the investigated model’s broad variety of explicit solutions are demonstrated. As a result, the exact solitary wave solutions to the studied issues, including solitary, single soliton, and periodic wave solution are found. It is shown that the approach is practical and flexible in mathematical physics. All outcomes in this work are necessary to understand the physical meaning and behavior of the explored results and shed light on the significance of the investigation of several nonlinear wave phenomena in sciences and engineering.