Results 21 to 30 of about 18,721 (178)
Engel, Nilpotent and Solvable BCI-algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we define the concepts of Engel, nilpotent and solvable BCI-algebras and investigate some of their properties. Specially, we prove that any BCK-algebra is a 2-Engel.
Mohammadzadeh Elahe, Borzooei Rajab Ali
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Limit cycles in a quartic system with a third-order nilpotent singular point
Advances in Difference Equations, 2018 In this paper, limit cycles bifurcating from a third-order nilpotent critical point in a class of quartic planar systems are studied. With the aid of computer algebra system MAPLE, the first 12 Lyapunov constants are deduced by the normal form method. As
Xinli Li
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The ascending central series of nilpotent Lie algebras with complex structure [PDF]
, 2019 We obtain several restrictions on the terms of the ascending central series of a nilpotent Lie algebra $\mathfrak g$ under the presence of a complex structure $J$.
Latorre, A., Ugarte, L., Villacampa, R.
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A reduction principle for Fourier coefficients of automorphic forms [PDF]
, 2020 In this paper we analyze a general class of Fourier coefficients of automorphic forms on reductive adelic groups $\mathbf{G}(\mathbb{A}_\mathbb{K})$ and their covers.
Gourevitch, Dmitry +4 more
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Journal of Applied Mathematics, 2014 We investigate multiple limit cycles bifurcation and center-focus problem of the degenerate equilibrium for a three-dimensional system. By applying the method of symbolic computation, we obtain the first four quasi-Lyapunov constants.
Shugang Song +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper we consider the number of isolated zeros of Abelian integrals associated to the perturbed system $\dot{x}=y,\ \dot{y}=-x^3(x-1)^2+\varepsilon (\alpha+\beta x+ \gamma x^3)y$, where $\varepsilon >0$ is small and $\alpha,\,\beta,\,\gamma \in ...
Ali Atabaigi
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Fourteen Limit Cycles in a Seven-Degree Nilpotent System
Abstract and Applied Analysis, 2013 Center conditions and the bifurcation of limit cycles for a seven-degree polynomial differential system in which the origin is a nilpotent critical point are studied. Using the computer algebra system Mathematica, the first 14 quasi-Lyapunov constants of
Wentao Huang, Ting Chen, Tianlong Gu
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Class-preserving Coleman automorphisms of some classes of finite groups
Open Mathematics, 2022 The normalizer problem of integral group rings has been studied extensively in recent years due to its connection with the longstanding isomorphism problem of integral group rings.
Hai Jingjing, Li Zhengxing, Ling Xian
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Cyclicity of nilpotent centers with minimum Andreev number [PDF]
European Journal of Mathematics, 2018 We consider polynomial families of real planar vector fields for which the origin is a monodromic nilpotent singularity having minimum Andree's number. There the centers are characterized by the existence of a formal inverse integrating factor. For such families we give, under some assumptions, global bounds on the maximum number of limit cycles that ...
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Limit Cycles and Integrability in a Class of Systems with High-Order Nilpotent Critical Points
Abstract and Applied Analysis, 2013 A class of polynomial differential systems with high-order nilpotent critical points are investigated in this paper. Those systems could be changed into systems with an element critical point.
Feng Li, Jianlong Qiu
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