Results 1 to 10 of about 1,880,861 (238)
Magnetic Jacobi Fields in 3-Dimensional Cosymplectic Manifolds
We classify the magnetic Jacobi fields in cosymplectic manifolds of dimension 3, enriching the results in the study of magnetic Jacobi fields derived from uniform magnetic fields. In particular, we give examples of Jacobi magnetic fields in the Euclidean
Marian Ioan Munteanu, Ana Irina Nistor
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On Jacobi-Type Vector Fields on Riemannian Manifolds
In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field ...
Bang-Yen Chen +2 more
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Periodic structures of solitons and shock wave solutions in the fractional nonlinear Shynaray-IIA equation via a generalized analytical method [PDF]
In this research, we utilized the Jacobi elliptic function expansion method to study the truncated M-fractional nonlinear Shynaray-IIA (S-IIA) equation with computational simulations. With the use of a truncated M-fractional derivative, the nonlinear (1 +
Mujahid Iqbal +7 more
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Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi-Type
This paper is devoted to Ricci solitons admitting a Jacobi-type vector field. First, we present some rigidity results for Ricci solitons Mn,g,V,λ admitting a Jacobi-type vector field ξ and provide conditions under which ξ is Killing.
Vahid Pirhadi +2 more
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Second-order variational analysis of PV–battery energy management using jacobi equations [PDF]
The increasing penetration of photovoltaic (PV) generation requires energy management strategies for PV–battery systems that are not only optimal but also stable and robust under variable solar generation and load demand.
M. M. Mundu +5 more
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We propose a Leibniz algebra, to be called DD$^+$, which is a generalization of the Drinfel'd double. We find that there is a one-to-one correspondence between a DD$^+$ and a Jacobi--Lie bialgebra, extending the known correspondence between a Lie ...
Jose J. Fernandez-Melgarejo, Yuho Sakatani
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The Hamilton–Jacobi Theory for Contact Hamiltonian Systems
The aim of this paper is to develop a Hamilton–Jacobi theory for contact Hamiltonian systems. We find several forms for a suitable Hamilton–Jacobi equation accordingly to the Hamiltonian and the evolution vector fields for a given Hamiltonian function ...
Manuel de León +2 more
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The Hamilton-Jacobi Treatment of Complex Fields as Constrained Systems [PDF]
The complex scalar field is treated as a constrained system using the Hamilton-Jacobi approach. The reduced phase space Hamiltonian density is obtained without introducing Lagrange multipliers and without any additional gauge fixing condition.
Tamer Eleyan
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The geometrical Kosambi–Cartan–Chern approach has been applied to study the systems of differential equations which arise in quantum-mechanical problems of a particle on the background of non-Euclidean geometry.
N. G. Krylova, V. M. Red’kov
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Magnetic Geodesic in (Almost) Cosymplectic Lie Groups of Dimension 3
In this paper, we study contact magnetic geodesics in a 3-dimensional Lie group G endowed with a left invariant almost cosymplectic structure. We distinguish the two cases: G is unimodular, and G is nonunimodular.
Marian Ioan Munteanu
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