Results 41 to 50 of about 4,252 (168)
Limit Cycles of Polynomially Integrable Piecewise Differential Systems
Axioms, 2023 In this paper, we study how many algebraic limit cycles have the discontinuous piecewise linear differential systems separated by a straight line, with polynomial first integrals on both sides.
Belén García +3 more
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Algebraic Algorithms for Even Circuits in Graphs
Mathematics, 2019 We present an algebraic algorithm to detect the existence of and to list all indecomposable even circuits in a given graph. We also discuss an application of our work to the study of directed cycles in digraphs.
Huy Tài Hà, Susan Morey
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AxiomsIn this paper, two classes of near-Hamiltonian systems with a nilpotent center are considered: the coexistence of algebraic limit cycles and small limit cycles.
Huimei Liu, Meilan Cai, Feng Li
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Spatially-Coupled QLDPC Codes [PDF]
QuantumSpatially-coupled (SC) codes is a class of convolutional LDPC codes that has been well investigated in classical coding theory thanks to their high performance and compatibility with low-latency decoders.
Siyi Yang, Robert Calderbank
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Complex Manifolds, 2020 We show that a 2k-current T on a complex manifold is a real holomorphic k-chain if and only if T is locally real rectifiable, d-closed and has ℋ2k-locally finite support. This result is applied to study homology classes represented by algebraic cycles.
Teh Jyh-Haur, Yang Chin-Jui
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Design and analysis of a synthetic prediction market using dynamic convex sets
Results in Control and Optimization, 2021 We present a synthetic prediction market whose agent purchase logic is defined using a sigmoid transformation of a convex semi-algebraic set defined in feature space. Asset prices are determined by a logarithmic scoring market rule.
Nishanth Nakshatri +4 more
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Weil transfer of algebraic cycles
Indagationes Mathematicae, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Algebraic Cycles and Special Horikawa Surfaces [PDF]
Acta Mathematica Vietnamica, 2021 This note is about a $16$-dimensional family of surfaces of general type with $p_g=2$ and $q=0$ and $K^2=1$, called "special Horikawa surfaces". These surfaces, studied by Pearlstein-Zhang and by Garbagnati, are related to K3 surfaces. We show that special Horikawa surfaces have a multiplicative Chow-K nneth decomposition, in the sense of Shen-Vial ...
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Cubic and quartic planar differential systems with exact algebraic limit cycles
Electronic Journal of Differential Equations, 2011 We construct cubic and quartic polynomial planar differential systems with exact limit cycles that are ovals of algebraic real curves of degree four. The result obtained for the cubic case generalizes a proposition of [9].
Ahmed Bendjeddou, Rachid Cheurfa
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Piecewise linear differential systems with an algebraic line of separation
Electronic Journal of Differential Equations, 2020 We study the number of limit cycles of planar piecewise linear differential systems separated by a branch of an algebraic curve. We show that for each $n\in\mathbb{N}$ there exist piecewise linear differential systems separated by an algebraic curve ...
Armengol Gasull +2 more
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