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Extreme events in a damped Korteweg–de Vries (KdV) autonomous system: A comprehensive analysis
Chaos, Solitons and Fractals. 2024. Vol. 186. Article 115337.
This manuscript explores extreme events in a three-dimensional, damped Korteweg–de Vries (KdV) autonomous system that is derived from the jerk system with a modified basin. Through rigorous stability analysis, we identify the extreme events, confirmed using phase portraits, Poincaré return maps, time series, and probability distribution functions. The Dragon-king phenomenon is obtained and self-organised criticality is discussed. The regime of extreme events in a wide parameter range was obtained through two-parameter scanning. The analog circuit was constructed to mimicking dynamics of damped KdV equation and demonstrated in real-time hardware experiment as well as PSpice simulation. The experimental results show excellent agreement with the numerically obtained results. This study is the first comprehensive examination of extreme events in the damped KdV system, highlighting their nature and potential applications in chaos-based dynamical systems.
Keywords: Lyapunov characteristic exponentComplex systemExtreme event (EE)self organised criticality
Publication based on the results of:
Bubnova M., Chetverikov V., Pozhidaev E., Информационные технологии 2026 Т. 32 № 8 С. 404–413
A specialized methodology was developed, computer modeling was conducted, and a comparative analysis was performed for autonomous control methods for small spacecraft, differing in how the nonlinearity of the initial stabilization problem is taken into account:
— control constructed using a system of linear differential equations (SLDE);
— control constructed using SLDE applied to a more general ...
Added: September 2, 2026
Волчкова Е. А., Легкова К. С., Минушкина Л. О. et al., Российский кардиологический журнал 2026 Т. 31 № 8S Статья 6987
Goal. To assess the contribution of polygenic risk scores to the short‑term mortality prediction model in patients with dilated cardiomyopathy (DCM).
Materials and methods. The study included 137 patients with DCM. The mean age was 56.8 ± 13.5 years; there were 115 men (83.9 %). The median follow‑up period was 17 [13; 22] months. During the follow‑up period, 26 ...
Added: August 24, 2026
Tsydypova M., Современные проблемы дистанционного зондирования Земли из космоса 2026 Т. 23 № 3 С. 263–275
The article presents a methodology for mapping coniferous forest decline, based on the integration of automated remote sensing data interpretation techniques, vegetation indices, remote sensing data on above-ground biomass (Biomass CCI (Climate Change Initiative)), and materials from ground-based forest pathology surveys using forests of the Khamar-Daban ridge (Republic of Buryatia) as a case study. The ...
Added: August 9, 2026
Manivelan S. V., Srinivasan S., Thamilmaran K. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 No. 1 Article 014217
This study investigates the dynamical origins and statistical properties of extreme events (EEs) in a diffusively coupled theoretical Brusselator system, extending from pairwise interactions to globally coupled networks. Statistically, the emergence of EEs is characterized by heavy-tailed probability density functions and exponential interevent interval distributions, alongside an analysis of the complementary cumulative distribution function and ...
Added: July 15, 2026
Мелешко Е. В., Афанасенко Т. С., Ш. М. Гаджимирзаев et al., Компьютерные исследования и моделирование 2022 Т. 14 № 6 С. 1255–1268
This work contains a description of the results of modeling the process of maintaining the readiness of a section of the road network under strikes of with specified parameters. A one-dimensional section of road up to 40 km long with a total number of strikes up to 100 during the work of the brigade is ...
Added: June 26, 2026
Borovikova I., Uporov I., Okhrimenko G. et al., Journal of Structural Biology 2026 Vol. 218 No. 2 Article 108315
Single amino acid substitutions in the ATP-binding domain of ACVRL1, a key receptor in the bone morphogenetic protein (BMP) signaling pathway, are frequently classified as variants of uncertain significance (VUS), complicating molecular diagnosis for pulmonary arterial hypertension (PAH) and Hereditary Hemorrhagic Telangiectasia (HHT). Since aberrant ATP binding disrupts downstream SMAD1/5/8 phosphorylation, we employed molecular dynamics ...
Added: May 20, 2026
Thangavel B., Kathamuthu T., Srinivasan S., International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2026 Vol. 36 No. 09 Article 2630019
In this paper, we report, for the first time, that Extreme Events (EEs) can robustly emerge in autonomous, weakly coupled Bonhoeffer–van der Pol oscillators, challenging the prevailing notion that strong interaction and external drive are necessary for such rare, large-amplitude bursts. Our central finding is a novel dynamical route to EEs: a transition from quasi-periodic torus dynamics to ...
Added: May 20, 2026
Kychkin A., Chernitsin I., Прикладная информатика 2026 № 1(121) С. 40–58
The results of the development of a software microservice embedded in atmospheric air quality monitoring systems to support the identification of industrial pollution sources are presented. The emission and subsequent spread of harmful substances in the lower layers of the atmosphere is dynamic and characterized by high uncertainty due to the specific features of technological ...
Added: April 23, 2026
М.: Международный центр «Новые научные исследования», 2025.
Сборник содержит статьи участников Международной научно-практической конференции «Научные открытия и инновационные стратегии», состоявшейся 24 мая 2025 г. в г. Москва.
В сборнике научных трудов рассматриваются современные научные проблемы и практики применения результатов научных исследований. Материалы сборника предназначены для научных работников, преподавателей, аспирантов, магистрантов, студентов в целях применения в научной работе и учебной деятельности. Ответственность за аутентичность ...
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Filippova E., Sukhikh T., Tychinina A. et al., Crystals 2026 Vol. 16 No. 1 Article 12
Reaction of [Zr(η5-Cp’)2Cl2] (Cp’ = tBuC5H4) and Na2Cat36 (Cat36 = 3,6-di-tert-butylcatecholate) leads to the formation of the complexes [Na2Zr(Cat36)3(THF)2(C7H8)] (1) and [Zr(η5-Cp’)2(η1-Cp’)2] (2). Complex 1 along with its congeners [K2Zr(Cat36)3(THF)2] (3), [Li(THF)4][LiZr(Cat36)3] (4) and [Li4Zr(Cat36)4(dme)2] (5) were synthesized by the reaction of [ZrCl4(THF)2] and corresponding alkali metal catecholate M2Cat36. The complexes obtained were characterized by means of single-crystal X-ray diffraction ...
Added: February 18, 2026
Домрачев Д. А., Коннова М. А., Волков А. А., Медико-фармацевтический журнал «Пульс» 2023 Т. 25 № 6 С. 54–57
Medicines based on compounds of iron, copper and zinc occupy a certain place in the pharmaceutical
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copper and zinc, a deficiency in the immune response and inflammation caused by lipid peroxidation, which ultimately
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Added: February 15, 2026
Стерлитамак: Общество с ограниченной ответственностью "Агентство международных исследований", 2023.
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Portnova G., Proskurnina E., Liaukovich K. et al., Journal of Molecular Neuroscience 2026 Vol. 76 Article 19
This study investigates the relationship between stress coping ability, salivary antioxidant capacity (AOC), and trace element concentrations, focusing on zinc (Zn) and potassium (K). A cohort of 73 participants, divided into groups based on stress coping ability (SCA) (“adaptive”, “intermediate”, and “maladaptive”), underwent cognitive tasks while physiological and behavioral data were collected. Saliva samples were ...
Added: February 2, 2026
de Klerk D., de Keijzer M., Franchi L. et al., Biochemical Pharmacology 2026 Vol. 248 Article 117620
The recalcitrance of tumors to photodynamic therapy (PDT) has been linked to PDT-induced activation of survival pathways in sublethally afflicted cancer cells that modulate cellular responses to oxidative stress and damage. Survival signaling manifests in regions of the tumor where the tumor cells are insufficiently photosensitized or subjected to inadequate fluence rates. The survival signaling ...
Added: January 15, 2026
Natalia O. Porozova, Petukhova N., Maxim A. Gureev et al., Frontiers in Immunology 2025 Vol. 16 Article 1729468
Programmed cell death protein 1 (PD-1)/programmed death-ligand 1 (PD-L1) blockade has reshaped immuno-oncology, with antibodies establishing benchmarks for survival and durability of response across multiple tumor types. Yet format-related constraints of monoclonal antibodies persist, including incomplete and heterogeneous intratumoral penetration, long half-life with limited real-time toxicity control, immune-related toxicities, and context-dependent resistance within the tumor ...
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Pikul A. S., Лепендин А. А., Труды молодых ученых Алтайского государственного университета 2023 № 20 С. 190–193
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Pikul A. S., Безопасность информационных технологий 2024 Т. 31 № 4 С. 116–127
This article explores the potential use of modern computer vision architectures for the task of deepfake detection. The following architectures are considered: EfficientNet, Vision Transformer (ViT), VisionLSTM (ViL), Vision KAN, and Mamba Vision. The novelty of the approach lies in the application and comparison of these architectures, as well as their combination into paired ensembles ...
Added: December 12, 2025
Aleksandr S. Pikul, Popov I., Безопасность информационных технологий 2025 Vol. 32 No. 2 P. 73–82
Understanding how artificial intelligence models make decisions is important, especially for difficult tasks like detecting deepfakes, where it's not enough to just get a result – it needs to know why the model made that choice. Many current methods, like Shapley additive explanations (SHAP) and Gradient-weighted Class Activation Mapping (Grad-CAM), help explain these decisions, but ...
Added: December 12, 2025
Ионцев М. А., [б.и.], 2020.
Показано, что системы зарядовых и потоковых кубитов являются математически эквивалентными друг другу, физическое описание различается в том, что параметром порядка в системе с зарядовыми кубитами является обобщенная координата осциллятора (амплитуда фотонного поля), а в системе с потоковыми кубитами таким параметром является обобщенный импульс осциллятора (импульс фотонного поля). Математическая эквивалентность объясняется тем, что уравнения движения (правила ...
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Dmitriy Demin, Ilya Grebenkin, Alexey Barinov, International Journal of Advanced Manufacturing Technology 2025 Vol. 141 P. 1847–1858
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Seralan V., S L. K., Srinivasan S. et al., Scientific Reports 2025 No. 15 P. 1–15
This work explores distinct complex dynamics of simplified two nodes of coupled gene regulatory networks with multiple delays in two self-inhibitory and mutually activated genes. We have identified the emergence of extreme events within a specific range of system parameter values. A detailed analysis of the time delay-induced emergence of extreme events is illustrated using ...
Added: October 15, 2025
Гаевская М. А., СПб.: РГПУ им. А.И. Герцена, 2024.
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Added: October 5, 2025
Гаевская М. А., СПб.: РГПУ им. А.И. Герцена, 2023.
Сборник включает статьи, подготовленные на основе докладов и сообщений участников 24-й Межвузовской студенческой научной конференции «Студент - Исследователь - Учитель», состоявшейся 4-15 апреля 2022 года в Санкт-Петербурге в Российском государственном педагогическом университете им. А.И. Герцена. Статьи прошли отбор редакционной коллегии сборника и рецензирование. Содержание материалов сборника отражает результаты изысканий молодых исследователей - студентов бакалавриата, магистратуры ...
Added: October 5, 2025
Manivelan S. V., S. Sabarathinam, Thamilmaran K. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2025 Vol. 112 No. 1 Article 014202
We present a study of the theoretical Brusselator model with time-delayed self-feedback, demonstrating its ability to induce extreme events when delays in reaction processes significantly influence subsequent dynamics, with and without diffusion. Stability analyses reveal the mechanisms driving this behavior with respect to the delay time. The occurrence of extreme events is validated using various ...
Added: July 2, 2025