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Nonlinear motion modeling and analysis of underwater cables under complex loads based on global nodal position finite element method in Hamiltonian formulation
The nonlinear dynamic response of underwater cable is essential for underwater equipment
system. This paper presents an effective global nodal position finite element method in …
system. This paper presents an effective global nodal position finite element method in …
Symplectic double extensions for restricted quasi-Frobenius Lie (super) algebras
In this paper, we present a method of symplectic double extensions for restricted quasi-
Frobenius Lie superalgebras. Certain cocycles in the restricted cohomology represent …
Frobenius Lie superalgebras. Certain cocycles in the restricted cohomology represent …
Symplectic structures, product structures and complex structures on Leibniz algebras
R Tang, N Xu, Y Sheng - Journal of Algebra, 2024 - Elsevier
In this paper, a symplectic structure on a Leibniz algebra is defined to be a symmetric
nondegenerate bilinear form satisfying certain compatibility condition, and a phase space of …
nondegenerate bilinear form satisfying certain compatibility condition, and a phase space of …
[HTML][HTML] Pseudo-Kähler and hypersymplectic structures on semidirect products
We study left-invariant pseudo-Kähler and hypersymplectic structures on semidirect
products G⋊ H; we work at the level of the Lie algebra g⋊ h. In particular we consider the …
products G⋊ H; we work at the level of the Lie algebra g⋊ h. In particular we consider the …
[HTML][HTML] Complex symplectic Lie algebras with large Abelian subalgebras
We present two constructions of complex symplectic structures on Lie algebras with large
Abelian ideals. In particular, we completely classify complex symplectic structures on almost …
Abelian ideals. In particular, we completely classify complex symplectic structures on almost …
Double extensions of quasi-Frobenius Lie superalgebras with degenerate center
We develop the process of symplectic double extensions for Lie superalgebras with
degenerate center. The construction is a superization of a recent work by Fischer, and …
degenerate center. The construction is a superization of a recent work by Fischer, and …
Nilmanifolds with non-nilpotent complex structures and their pseudo-K\" ahler geometry
We classify nilpotent Lie algebras with complex structures of weakly non-nilpotent type in
real dimension eight, which is the lowest dimension where they arise. Our study, together …
real dimension eight, which is the lowest dimension where they arise. Our study, together …
[HTML][HTML] Spatial rigid-flexible-liquid coupling dynamics of towed system analyzed by a hamiltonian finite element method
H Ding, Q Wang, W Hu, X Yin - Journal of Marine Science and …, 2021 - mdpi.com
An effective Hamiltonian finite element method is presented in this paper to investigate the
three-dimensional dynamic responses of a towed cable-payload system with large …
three-dimensional dynamic responses of a towed cable-payload system with large …
Anti-quasi-Sasakian manifolds
We introduce and study a special class of almost contact metric manifolds, which we call anti-
quasi-Sasakian (aqS). Among the class of transversely Kähler almost contact metric …
quasi-Sasakian (aqS). Among the class of transversely Kähler almost contact metric …
Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi≤ 5
Dalam penelitian ini dipelajari tentang aljabar Lie Frobenius-quasi real dan aljabar Lie
filiform berdimensi≤ 5. Penelitian ini bertujuan untuk menetapkan klasifikasi aljabar Lie …
filiform berdimensi≤ 5. Penelitian ini bertujuan untuk menetapkan klasifikasi aljabar Lie …