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Periodic canard trajectories with multiple segments following the unstable part of critical manifold
Discrete and Continuous Dynamical Systems - Series B. 2013. Vol. 18. No. 2. P. 467–482.
We consider a scalar fast differential equation which is periodically driven by a slowly varying input. Assuming that the equation depends on scalar parameters, we present simple sufficient conditions for the existence of a periodic canard solution, which, within a period, makes n fast transitions between the stable branch and the unstable branch of the folded critical curve. The closed trace of the canard solution on the plane of the slow input variable and the fast phase variable has n portions elongated along the unstable branch of the critical curve. We show that the length of these portions and the length of the time intervals of the slow motion separated by the short time intervals of fast transitions between the branches are controlled by the parameters.
Осипов Д.В., Математический сборник 2026 Т. 217 № 9 С. 130–146
Изучаются законы взаимности, связанные с комплексными линейными расслоениями на расслоениях на ориентируемые окружности. В частности, доказывается следующий закон взаимности. Пусть B – комплексное многообразие и πi:Mi→B – расслоение на ориентируемые окружности, где индекс i пробегает конечное множество. Пусть Li и Ni – комплексные линейные расслоения на каждом многообразии Mi. Закон взаимности утверждает, что сумма всех элементов (πi)∗(c1(Li)∪c1(Ni)), где (πi)∗ – ...
Added: September 3, 2026
Basalaev A., Rarovskii A., Journal of Singularities 2026 Vol. 30 P. 61–80
Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau-Ginzburg orbifolds. Namely, for the pairs (f,G), where f defines an isolated singularity of A and D type and G is a group of symmetries of ...
Added: September 1, 2026
Rybakov M., Shkatov D., Journal of Logic and Computation 2026 Vol. 36 No. 6 Article exag026
We prove Pi-1-1-hardness, and thus lack of recursive axiomatizability, of constant-domain modal predicate logics defined by a class of Dedekind complete linear Kripke frames containing a frame with an infinitely increasing chain of worlds. The result holds even for the language with one unary predicate letter, one propositional letter, and two individual variables. ...
Added: September 1, 2026
Селянин Ф. И., Moscow Mathematical Journal 2026 Vol. 26 No. 2 P. 167–187
Minkowski mixed volume of n subpolytopes D1,…,Dn of a polytope P⊂Rn clearly does not exceed the normalized volume n!Vol(P). Equality holds if and only if the subpolytopes are interlaced, i.e., each proper face F⊊P intersects at least dim(F)+1 of the polytopes Di. Efficiently computing mixed volumes for more general collections of subpolytopes is crucial for estimating the complexity of numerically solving polynomial systems.
Motivated by relaxing the bound dim(F)+1 to dim(F), we ...
Added: August 31, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., International Mathematics Research Notices 2026 Vol. 14 Article rnag146
We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algebraic curves. The proof involves localization and materialization analysis of the spin Gromov–Witten theory of the projective line and is dictated by Z 2 -equivariant ...
Added: August 31, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Communications in Mathematical Physics 2026 Vol. 407 No. 69
We prove that for any initial data on a genus zero spectral curve the cor responding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the r-th roots of the twisted powers of the log canonical bundles ...
Added: August 31, 2026
Gromov V., Переслегин С. Б., Переслегина Е. Б. et al., СПб.: Полакс, 2026.
Механизм происходящих в мире изменений носит эволюционный, а не экологический характер. Иначе говоря, Человечество столкнулось с кризисом развития, который имеет три независимые составляющие: кризис индустриального общества (фазовый кризис), кризис научного мышления (эпистемный кризис) и кризис формата существования разума (социосистемный кризис). Доклад посвящён аспектам этого триединого кризиса и возможным путям его преодоления, не сводящимся к первичному ...
Added: August 31, 2026
Devyatov R. A., Mathematical notes 2026 Vol. 119 No. 3 P. 782–786
Let G/B be a flag variety over ℂ, where G is a simple algebraic group with a simply laced Dynkin diagram, and B is a Borel subgroup. We say that the product of classes of Schubert divisors in the Chow ring is multiplicity free if it is possible to multiply it by a Schubert class ...
Added: August 30, 2026
Bayer A., Kuznetsov A., Macrì E., Journal fuer die reine und angewandte Mathematik 2026 Vol. 2026 No. 836 P. 111–162
We give a self-contained and simplified proof of Mukai’s classification of prime Fano threefolds of index 1 and genus g ≥ 6 with at most factorial terminal singularities, and of its extension to higher dimension. ...
Added: August 30, 2026
Bayer A., Kuznetsov A., Macrì E., Compositio Mathematica 2026 Vol. 162 No. 1 P. 59–99
We give a proof of Mukai’s theorem on the existence of certain exceptional vector bundles on prime Fano threefolds. To our knowledge this is the first complete proof in the literature. The result is essential for Mukai’s biregular classification of prime Fano threefolds, and for the existence of semiorthogonal decompositions in their derived categories. Our ...
Added: August 30, 2026
Guseva L., Novikov A., Advances in Mathematics 2026 Vol. 503 Article 111211
We prove that the Kuznetsov–Polishchuk exceptional collections on rational homogeneous spaces of the symplectic groups Sp(2n,C) are full and consist of vector bundles. To achieve this, we construct several classes of complexes, which we call generalized staircase complexes, symplectic staircase complexes and secondary staircase complexes — each of which may be of independent interest. ...
Added: August 30, 2026
Polishchuk A., Rains E., Journal of the Institute of Mathematics of Jussieu 2026 Vol. 25 No. 1 P. 339–373
We prove that for every relatively prime pair of integers (d,r) with r>0, there exists an exceptional pair (O,V) on any del Pezzo surface of degree 4, such that V is a bundle of rank r and degree d. As an application, we prove that every Feigin-Odesskii Poisson bracket on a projective space can be ...
Added: August 30, 2026
Kazhdan D., Polishchuk A., Pure and Applied Mathematics Quarterly 2026 Vol. 22 No. 3 P. 1115–1166
We continue the study of automorphic functions associated with a curve C over the ring k[ε]/(ε²), where k is a finite field, begun in arXiv:2303.16259. Namely, we study an example of theta-lifting in this framework and show that it can be understood in terms of the orbit decomposition of the space of automorphic functions S(SL₂(F)\SL₂(A_C)) ...
Added: August 30, 2026
Kuznetsov A. P., Sataev I. R., Stankevich N., Chaos 2026 Vol. 36 No. 8 Article 083131
A radio-physical system, namely, a two-mode van der Pol generator, is considered. It is shown that this system demonstrates two types of chaos: with one and two zero Lyapunov exponents. The regions of the second type of chaos are surrounded by bifurcation lines of invariant tori doubling. Quasi-periodic structures of various shapes are embedded within ...
Added: August 30, 2026
Shirokov N. A., Rozenblum G., Israel Journal of Mathematics 2026 P. 1–30
We establish that a generalized H\¨older continuous function on an (m−2)-Ahlfors regular compact set in Rm can be approximated by solutions of an elliptic equation, with the rate of approximation determined by the continuity modulus of the function ...
Added: August 29, 2026
Shishkina E., Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria 2025
This article investigates the problem of approximating the generalized
Erdélyi-Kober fractional operator (often referred to as the Lowndes operator)
using cubic splines. A method based on cubic spline interpolation
is proposed for approximating the operator on a non-uniform grid. The
convergence rate of the proposed method is proven, and its stability is
analyzed. Error bounds are established for functions in ...
Added: March 2, 2026
Perfluorosulfonic acid polymer membrane with increased chemical stability for hydrogen-air fuel cell
Safronova E. Y., A. O. Bedarkova, Novikova S. et al., Polymer Degradation and Stability 2025 Vol. 240 Article 111477
One of the key tasks of hydrogen energy development is to obtain chemically stable proton exchange polymer membranes with high proton conductivity. This article presents the results on the investigation of the stabilization of proton-conducting membranes with a Nafion®-type structure using modification by fluorine. The membranes examined in this study exhibited high thermal stability and ...
Added: August 26, 2025
Котельников А. В., Laboratorium. Журнал социальных исследований (США) 2024 Т. 16 № 2 С. 4–23
The article presents an ethnographic study of the commune Dom (Home), one of about a dozen currently existing communes (“homes”) in Saint Petersburg, Russia, based on cohabitation and management of common household by people who are not related to each other, in large apartments (once communal apartments or dormitories). The residents of the Dom postulate ...
Added: May 20, 2025
Буланова И. С., Dvoinin A., Двойнина В. К., Современная зарубежная психология 2025 Т. 14 № 1 С. 103–113
Recently, the concept of resilience has become very popular in psychological science, which in Russian-language psychology is translated as “zhiznesposobnost” [“viability”] or “ustoichivost” [“stability”]. Despite the fact that this concept has firmly entered the conceptual framework of psychological science, there is still no consensus among researchers on its definition and theoretical load. In the scientific ...
Added: April 1, 2025
Lysova A. A., Ponomarev I. I., Yaroslavtsev A. B., Solid State Ionics 2024 Vol. 414 Article 116644
Polybenzimidazoles (PBI) doped with phosphoric acid are a promising electrolyte for medium-temperature fuel cells. However, to be effective at high temperatures in the presence of acid, the mechanical and conductive properties of the material must be stable and no critical increase in gas permeability is required. This work proposes an approach to improve the properties ...
Added: February 21, 2025
Бурков А. А., Tyurlikov A., Информационно-управляющие системы 2022 Vol. 5 P. 49–59
Introduction: Internet of Things devices are actively used within the framework of Massive Machine-Type Communication scenarios. The interaction of devices is carried out by random multiple-access algorithms with limited throughput. To improve throughput one can use orthogonal preambles in the ALOHA-type class of algorithms. Purpose: To analyze ALOHA-based algorithms using the exploration phase and to calculate the characteristics ...
Added: September 26, 2023
Brodetskiy G., Gerami V., Gusev D. et al., Анализ и прогноз. Журнал ИМЭМО РАН 2023 № 2 С. 14–23
The article is devoted to the process of transformation of international supply chains in a crisis situation caused by the imposition of three powerful negative factors: the financial and economic crisis of 2008, the consequences of the COVID-19 pandemic and economic sanctions against the Russian Federation.
The authors point out that the destabilizing effect of the ...
Added: April 10, 2023
Karabekyan D., Журнал Новой экономической ассоциации 2022 № 5(57) С. 24–37
Some distortions are possible in the process of preference aggregation. For example, one voter who is pivotal for some preference profi le may not read instructions properly and accidently submit wrong preference. We study how different voting rules react to these distortions for three, four and fi ve alternatives with computer modelling. One of the ...
Added: January 17, 2023
Шабаров В. В., Пеплин Ф.С., Вестник Инженерной школы Дальневосточного федерального университета 2019 Т. 39 № 2 С. 38–48
The mathematical model of the surface effect ship’s lifting system has been derived from the mass balance equation and the flexible bag’s equation. Stability conditions for the system “air cushion - flexible bag” has been obtained. The influence of design parameters on the ship’s stability is analyzed. It is shown that the tendency to unstable ...
Added: October 18, 2022