Results 41 to 50 of about 18,721 (178)
Nilpotent Bi-centers in Continuous Piecewise ℤ2-equivariant Cubic Polynomial Hamiltonian Systems [PDF]
, 2022 Abstract One of the classical and difficult problems in the theory of planar differential systems is to classify their centers. Here we classify the global phase portraits in the Poincare disc of the class continuous piecewise differential systems separated by one straight line and formed by two ℤ2 -equivariant cubic Hamiltonian systems with ...
ting chen, shi min li, JAUME Llibre
openaire +3 more sources
The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley +1 more source
Rings in which elements are the sum of a nilpotent and a root of a fixed polynomial that commute
Open Mathematics, 2017 An element in a ring R with identity is said to be strongly nil clean if it is the sum of an idempotent and a nilpotent that commute, R is said to be strongly nil clean if every element of R is strongly nil clean. Let C(R) be the center of a ring R and g(
Handam Ali H., Khashan Hani A.
doaj +1 more source
Elementary invariants for centralizers of nilpotent matrices
, 2006 We construct an explicit set of algebraically independent generators for the center of the universal enveloping algebra of the centralizer of a nilpotent matrix in the Lie algebra gl_N(C).
Brundan +5 more
core +1 more source
Complex structures on nilpotent Lie algebras with one-dimensional center
Journal of Algebra, 2023 shortened version (25 pages); new section ...
Adela Latorre +2 more
openaire +5 more sources
An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, 2001 We study the ramifications of Schur's theorem that, if G is a group such that G/ZG is finite, then G′ is finite, if we restrict attention to nilpotent group. Here ZG is the center of G, and G′ is the commutator subgroup.
Peter Hilton
doaj +1 more source
Reversible nilpotent centers with cubic nonlinearities
Rendiconti del Circolo Matematico di Palermo Series 2Abstract A real analytic differential system having a center at the origin of coordinates after a linear change of variables and a rescaling of the time can be written in one of the following three forms: $${\dot{x}}=-y+ X_2(x,y), \ {\dot{y}}=x+Y_2(x,y),$$
Leandro Bacelar, Jaume Llibre
openaire +3 more sources
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Stationary $D=4$ Black Holes in Supergravity: The Issue of Real Nilpotent Orbits
, 2016 The complete classification of the nilpotent orbits of ${\rm SO}(2,2)^2$ in the representation ${\bf (2,2,2,2)}$, achieved in \cite{Dietrich:2016ojx}, is applied to the study of multi-center, asymptotically flat, extremal black hole solutions to the STU ...
Andrianopoli +64 more
core +1 more source