Results 31 to 40 of about 18,721 (178)
Nilpotent Lie algebras of derivations with the center of small corank
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi +2 more
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Nilpotent Center in a Continuous Piecewise Quadratic Polynomial Hamiltonian Vector Field
International Journal of Bifurcation and Chaos, 2022 In this paper, we study the global dynamics of continuous piecewise quadratic Hamiltonian systems separated by the straight line [Formula: see text], where these kinds of systems have a nilpotent center at [Formula: see text], which comes from the combination of two cusps of both Hamiltonian systems.
Chen, Ting, Llibre, Jaume
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Journal of Function Spaces and Applications, 2013 We solve theoretically the center problem and the cyclicity of the Hopf bifurcation for two families of Kukles-like systems with their origins being nilpotent and monodromic isolated singular points.
Peiluan Li, Yusen Wu, Xiaoquan Ding
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Formal Inverse Integrating Factor and the Nilpotent Center Problem [PDF]
International Journal of Bifurcation and Chaos, 2016 We are interested in deepening the knowledge of methods based on formal power series applied to the nilpotent center problem of planar local analytic monodromic vector fields [Formula: see text]. As formal integrability is not enough to characterize such a center we use a more general object, namely, formal inverse integrating factors [Formula: see ...
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On 3-manifolds that support partially hyperbolic diffeomorphisms
, 2010 Let M be a closed 3-manifold that supports a partially hyperbolic diffeomorphism f. If $\pi_1(M)$ is nilpotent, the induced action of f on $H_1(M, R)$ is partially hyperbolic.
Parwani, Kamlesh
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Ungauging schemes and Coulomb branches of non-simply laced quiver theories
Journal of High Energy Physics, 2020 Three dimensional Coulomb branches have a prominent role in the study of moduli spaces of supersymmetric gauge theories with 8 supercharges in 3, 4, 5, and 6 dimensions.
Amihay Hanany, Anton Zajac
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W-algebras at the critical level
, 2011 Let g be a complex simple Lie algebra, f a nilpotent element of g. We show that (1) the center of the W-algebra $W^{cri}(g,f)$ associated with (g,f) at the critical level coincides with the Feigin-Frenkel center of the affine Lie algebra associated with ...
Arakawa, Tomoyuki
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Center conditions for nilpotent cubic systems using the Cherkas method [PDF]
Mathematics and Computers in Simulation, 2016 In this work we study the center problem of a cubic polynomial differential system with nilpotent linear part. The analysis is based on the application of the Cherkas method to the Takens normal form. The study needs many computations, which have been verified with the help of one algebraic manipulator and the extensive use of a computer algebra system
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A weak periodicity condition for rings
International Journal of Mathematics and Mathematical Sciences, 2005 A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson radical can be written as the sum of a potent element and a nilpotent element.
Hazar Abu-Khuzam +2 more
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Cyclicity of some symmetric nilpotent centers
Journal of Differential Equations, 2016 In this work we present techniques for bounding the cyclicity of a wide class of monodromic nilpotent singularities of symmetric polynomial planar vector fields. The starting point is identifying a broad family of nilpotent symmetric fields for which existence of a center is equivalent to existence of a local analytic first integral, which, unlike the ...
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