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Monodromic Nilpotent Singular Points with Odd Andreev Number and the Center Problem
(Springer, 2022-12-01)
Given a nilpotent singular point of a planar vector field, its monodromy is associated with its Andreev number n. The parity of n determines whether the existence of an inverse integrating factor implies that the singular ...
Automorphisms of non-singular nilpotent Lie algebras
(Heldermann Verlag, 2013-03)
For a real, non-singular, 2-step nilpotent Lie algebra n, the group Aut(n)/ Aut0(n), where Aut0(n) is the group of automorphisms which act trivially on the center, is the direct product of a compact group with the 1-dimensional ...
Non-Nilpotent Lie Algebras with Non-Singular Derivations
(Universidade Federal de Minas GeraisUFMG, 2018-03-08)
Let L be a Lie algebra and (..) be a derivation of L. The derivation (..) is non-singular if it is injective as linear transformation. By a well-known result of N. Jacobson, a Lie algebra of finite dimension over a field ...
Classificação de singularidades semi- hiperbólicas e nilpotentes de campos planares analíticos
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 2017-07-12)
In this work, we present some results of Qualitative Theory of Planar Ordinary Differential Equations employed in the investigation of the behavior of solutions in the neighborhood of semi-hyperbolic and nilpotent singularities.
Reversibility and quasi-homogeneous normal forms of vector fields
(Pergamon-elsevier Science LtdOxfordInglaterra, 2010)
Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in R-3
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2005)
Normal form of nilpotent vector field near the tip of the pure spinor cone
(2021-07-01)
Pure spinor formalism implies that supergravity equations in space-time are equivalent to the requirement that the worldsheet sigma-model satisfies certain properties. Here we point out that one of these properties has a ...
THE AUTOMORPHISM GROUP OF A VARIETY WITH TORUS ACTION OF COMPLEXITY ONE
(INDEPENDENT UNIV MOSCOW-IUM, HIGHER SCHOOL ECONOMY, 2014)
Ideals of identities of representations of nilpotent Lie algebras
(Marcel Dekker IncNew YorkEUA, 2000)