Results 31 to 40 of about 953,765 (299)
Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop
Discrete Dynamics in Nature and Society, 2021 In the presented paper, the Abelian integral Ih of a Liénard system is investigated, with a heteroclinic loop passing through a nilpotent saddle. By using a new algebraic criterion, we try to find the least upper bound of the number of limit cycles ...
Junning Cai, Minzhi Wei, Guoping Pang
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Algebraic limit cycles in piecewise linear differential systems [PDF]
, 2018 This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some 1-parameter families with a saddle ...
Buzzi, Claudio A. [UNESP] +6 more
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On the Chow ring of certain Fano fourfolds
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2020 We prove that certain Fano fourfolds of K3 type constructed by Fatighenti–Mongardi have a multiplicative Chow–Künneth decomposition. We present some consequences for the Chow ring of these fourfolds.
Robert Laterveer
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Explicit limit cycles of a class of Kolmogorov system
Universal Journal of Mathematics and Applications, 2018 A class of Kolmogorov differential system is introduced. It is shown that under suitable assumptions on degrees and parameters, algebraic limit cycles can occur. we propose an easy algorithm to test the existence of limit cycles and we give them explicit
Salah Benyoucef, Ahmed Bendjeddou
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Heights and multiplicative relations on algebraic varieties [PDF]
, 2007 Points on a subvariety X of a semi-abelian variety A that are contained in a subgroup, let the subgroup be of finite rank or algebraic, are subject to severe restrictions arithmetical nature. Finiteness results for intersections of X with subgroups of
Habegger, Philipp
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A survey on algebraic and explicit non-algebraic limit cycles in planar differential systems [PDF]
, 2021 In the qualitative theory of differential equations in the plane one of the most difficult objects to study is the existence of limit cycles. There are many papers dedicated to this subject. Here we will present a survey mainly dedicated to the algebraic
Llibre, Jaume, Zhang, X.
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A class of nonlinear oscillators with non-autonomous first integrals and algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a class of autonomous nonlinear oscillators with non-autonomous first integral. We prove explicitly the existence of a global sink which is, under some conditions, an algebraic limit cycle.
Meryem Belattar +3 more
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Monodromy of an Inhomogeneous Picard-Fuchs Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The global behaviour of the normal function associated with van Geemen's family of lines on the mirror quintic is studied. Based on the associated inhomogeneous Picard-Fuchs equation, the series expansions around large complex structure, conifold, and ...
Guillaume Laporte, Johannes Walcher
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Finiteness conditions on the Ext-algebra of a cycle algebra
Journal of Algebra, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cycles in algebraic systems [PDF]
Proceedings of the American Mathematical Society, 1956 2. Cycles and their terminology. Let L be an n Xn Latin square or, alternatively, let Q be a quasigroup of order n. Let M be the set of n2 ordered triplets ijk, where k is the entry in the ith row and jth column of L. If S is the set of n2 ordered pairs ij, and if rir: M->S is the projection parallel to the ith coordinate (for example, ir2(ijk) =ik ...
Norton, D. A., Stein, Sherman K.
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