Results 111 to 120 of about 1,839,875 (302)

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Representations and cohomologies of modified λ-differential Hom-Lie algebras

AIMS Mathematics
In this paper, we introduce the concept and representations of modified $ \lambda $-differential Hom-Lie algebras. We then develop the cohomology of modified $ \lambda $-differential Hom-Lie algebras with coefficients in a suitable representation.
Yunpeng Xiao , Wen Teng
doaj   +1 more source

Lie idempotent algebras

Advances in Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Duality for Evolutionary Equations With Applications to Null Controllability

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley   +1 more source

Lie antialgebras: premices

, 2009
The main purpose of this work is to develop the basic notions of the Lie theory for commutative algebras. We introduce a class of $\mathbbZ_2$-graded commutative but not associative algebras that we call ``Lie antialgebras''.
Ovsienko, Valentin
core   +2 more sources

Lie Algebra Theory without Algebra [PDF]

, 2009
This is an expository paper in which we explain how basic, standard, results about simple Lie algebras can be obtained by geometric arguments, following ideas of Cartan, Richardson and others.
openaire   +2 more sources

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

Generalized derivations and their embedding in $\omega$-hom-Lie algebras

AIMS Mathematics
In this study, we explored the algebraic structure of generalized derivations within finite-dimensional $ \omega $-hom-Lie algebras over a field $ K $, emphasizing their symmetry properties in nonassociative settings.
Nof T. Alharbi, Ishraga A. Mohamed, Halah A. Abd Almeneem, Norah Saleh Barakat   +3 more
doaj   +1 more source

On Algebraic Lie Algebras [PDF]

Proceedings of the National Academy of Sciences, 1945
Chevalley, Claude, Tuan, Hsio-Fu
openaire   +3 more sources

A Monster Lie Algebra?

Advances in Mathematics, 1984
In 1979, \textit{J. H. Conway} and \textit{S. P. Norton} [Bull. Lond. Math. Soc. 11, 308--339 (1979; Zbl 0424.20010)] conjectured that the existence of the Fischer-Griess ''monster'' or ''friendly giant'' finite simple group \(M\) might be explained by some infinite-dimensional Lie algebra \(L\).
Borcherds, R.E, Conway, J.H, Queen, L, Sloane, N.J.A   +3 more
openaire   +1 more source