Results 1 to 10 of about 18,682 (139)
Limit Cycle Bifurcations from a Nilpotent Focus or Center of Planar Systems [PDF]
Abstract and Applied Analysis, 2012 We study analytic properties of the Poincaré return map and generalized focal values of analytic planar systems with a nilpotent focus or center. We use the focal values and the map to study the number of limit cycles of this kind of systems and obtain ...
Maoan Han, Valery G. Romanovski
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On n-Nilpotent Groups and n-Nilpotency of n-Abelian Groups [PDF]
Mathematics Interdisciplinary Research, 2020 The concept of n-nilpotent groups was introduced by Moghaddam and Mashayekhy in 1991 which is in a way a generalized version of the notion of nilpotent groups.
Azam Pourmirzaei, Yaser Shakourie
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Wielandt′s Theorem and Finite Groups with Every Non-nilpotent Maximal Subgroup with Prime Index
Journal of Harbin University of Science and Technology, 2023 In order to give a further study of the solvability of a finite group in which every non-nilpotent maximal subgroup has prime index, the methods of the proof by contradiction and the counterexample of the smallest order and a theorem of Wielandt on the ...
TIAN Yunfeng, SHI Jiangtao, LIU Wenjing
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Nilpotent centers from analytical systems on center manifolds
Journal of Mathematical Analysis and Applications, 2023 This paper considers analytical three-dimensional differential systems. The restriction of such systems to a center manifold has a nilpotent singular point at the origin. The authors prove that if the restricted system is analytic and has a nilpotent center at the origin, with Andreev number 2, then the three-dimensional system admits a formal inverse ...
Claudio Pessoa, Lucas Queiroz
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On dimension of Lie Algebras and nilpotent Lie algebras [PDF]
Mathematics and Computational Sciences, 2022 Schur proved that if the center of a group G has finite index, then the derived subgroup G′ is also finite. Moneyhun proved that if L is a Lie algebra such that dim(L/Z(L)) = n, then dim(L^2) ≤1/2n(n-1) In this paper, we extend the converse of Moneyhun’s
Homayoon Arabyani
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Analytic Nilpotent Centers on Center Manifolds
, 2021 Consider analytical three-dimensional differential systems having a singular point at the origin such that its linear part is $y\partial_x-λz\partial_z$ for some $λ\neq 0$. The restriction of such systems to a Center Manifold has a nilpotent singular point at the origin.
Pessoa, Claudio, Queiroz, Lucas
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On the derivations of Leibniz algebras of low dimension
Доповiдi Нацiональної академiї наук України, 2023 Let L be an algebra over a field F. Then L is called a left Leibniz algebra if its multiplication operations [×, ×] addition- ally satisfy the so-called left Leibniz identity: [[a,b],c] = [a,[b,c]] – [b,[a,c]] for all elements a, b, c Î L. In this paper,
L.A. Kurdachenko +2 more
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A method for characterizing nilpotent centers
Journal of Mathematical Analysis and Applications, 2014 El títol de la versió pre-print de l'article és: Algorithmic derivation of nilpotent center To characterize when a nilpotent singular point of an analytic differential system is a center is of particular interest, first for the problem of distinguishing between a focus and a center, and after for studying the bifurcation of limit cycles from it or from
Giné, Jaume, Llibre, Jaume
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Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities [PDF]
International Journal of Bifurcation and Chaos, 2020 In this paper, we characterize the global nilpotent centers of polynomial differential systems of the linear form plus cubic homogeneous terms.
García-Saldaña, J. D. +2 more
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Nilpotent Centers in $\mathbb{R}^3$
, 2021 Consider analytical three-dimensional differential systems having a singular point at the origin such that its linear part is $y\partial_x- z\partial_z$ for some $ \neq 0$. The restriction of such systems to a Center Manifold has a nilpotent singular point at the origin.
Queiroz, Lucas, Pessoa, Claudio
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