We have found long-living periodic solutions of the complex cubic-quintic Ginzburg-Landau equation (CCQGLE) perturbed with intrapulse Raman scattering. To achieve this we have applied a model system of ordinary differ...
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We have found long-living periodic solutions of the complex cubic-quintic Ginzburg-Landau equation (CCQGLE) perturbed with intrapulse Raman scattering. To achieve this we have applied a model system of ordinary differential equations (SODE). A set of the fixed points of the system has been described. A complete phase portrait as well as phase portraits near the fixed points have been built for a proper choice of parameters. The behavior of the model system near the fixed points has been determined. We have presented a detailed description of the subcritical Poincaré-Andronov-Hopf bifurcation due to the intrapulse Raman scattering that appears at one of the fixed points. We have established that there appears an unstable limit cycle in the SODE. To check the validity of the obtained results from the model system we have compared them with the results of the numerical solution of the CCQGLE perturbed with intrapulse Raman scattering. There has been found a remarkable correspondence between the obtained numerical results for the amplitude and frequency of the soliton pulses and the results for these parameters of the bifurcation theory. We have observed that the numerical characteristics of the propagating solitonlike pulses—amplitude, frequency, width, and position—periodically change if we change the distance with a period determined by the bifurcation analysis.
The gaming industry produces vast amounts of user-generated feedback, making it challenging for developers to efficiently analyze and respond to real-time reviews. This study addresses the problem of classifying large...
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The escalating demand for freshwater is intricately influenced by climatic fluctuations, ongoing economic development, and a growing population. Exploring innovative approaches, such as citizen science (CSc) integrati...
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ISBN:
(纸本)9798350317206
The escalating demand for freshwater is intricately influenced by climatic fluctuations, ongoing economic development, and a growing population. Exploring innovative approaches, such as citizen science (CSc) integration, becomes imperative in preserving our vital water resources. This article delves into a comprehensive monitoring strategy and success factors within a CSc initiative, centered on evaluating water quality in Lake Sevan, a crucial contributor to the broader South Caucasus region's environmental and political landscape. The deteriorating water quality in Lake Sevan can be attributed to a combination of external factors, including the discharge of domestic, agricultural, and industrial effluents, the expansion of waterlogged forested areas, and rising temperatures. According to a rigorous five-Tier grading system, Lake Sevan's water quality is currently graded at the 4th tier, indicating severe impairment in its ability to recover. Visible algal blooms on the water's surface exacerbate an already precarious situation, aggravated further by insufficient data due to the lack of human resources and inadequate investments from governmental and international entities like Deutsche Gesellschaft fur Internationale Zusammenarbeit (GIZ) and the United Nations Development Programme (UNDP). This study aims to address vital research questions, primarily concerning the dynamics of water quality changes and the development of a tailored CSc monitoring plan. The research methodology involves analyzing water quality datasets from both government sources and publicly accessible records over the past three years. Additionally, a comprehensive review of international CSc projects serves as a reference for this case study. The findings unmistakably indicate that Lake Sevan's water quality is critically rated at the 4th tier. To comprehensively understand and monitor the lake's dynamics, the implementation of a well-designed water quality monitoring framework with critical s
The process of learning is a personal experience, strongly influenced by the learning environment. Virtual learning environments (VLEs) provide the potential for adaptive learning, which aims to individualize learning...
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Visualizing a graph G in the plane nicely, for example, without crossings, is unfortunately not always possible. To address this problem, Masařík and Hliněný [GD 2023] recently asked for each edge of G to b...
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With the newly landed Perseverance Mars rover utilizing the power of the atom the question of effective power in extraterrestrial environment, especially on Mars, turns in the direction of nuclear even more prominentl...
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Currently, basically everyone is surrounded by digital media and they are used for various human activities, including learning. The aim of this study is to verify how much digital gaming can be used for unintentional...
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Given a finite group G, the hypergraphical regular representation problem asks about the existence of a hypergraph whose full automorphism group is equal to G acting regularly on the set of its vertices. In our paper,...
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A (k, g)-graph Γ, k ≥ 2, g ≥ 3, is k-regular of girth g. We refer to the complete set of possible orders of connected (k, g)-graphs for each pair of parameters (k, g) as the spectrum of orders of (k, g)-graphs;or t...
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This study addresses the insufficient consideration of physical activity in managing Type 1 diabetes mellitus, using real patient data from the Ohio dataset to assess its impact. We utilize GRU models, known for captu...
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