Vector fields
A class of polynomial planar vector fields with polynomial first integral
... Darboux gave a lower bound on the number of invariant integral algebraic curves of a system as above that ensures the existence of a first integral. A close result was proved by Jouanolou [38, 21] to guarantee that the ...
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Global behaviour of the period function of the sum of two quasi homogeneous vector fields
... analytic vector fields, monodromic points are either center or focus, and the problem of distinguishing between both options is called the center-focus ...quasi-homogeneous vector fields is ...
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Conformal and Killing vector fields on real submanifolds of the canonical complex space form $\mathbb{C}^{m}$
... smooth vector fields on M , by Γ (υ) the space of sections of the normal bundle υ of M , and by ∇ and ∇ the Riemannian connections on C m and on M respec- ...
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Three dimensional almost co Kähler manifolds with harmonic Reeb vector fields
... If on an almost contact manifold there exists a Riemannian metric g satisfying g(φX, φY ) = g(X, Y ) − η(X )η(Y ) (2.3) for any vector fields X, Y , then g is said to be compatible with respect to the al- ...
11
Hamiltonian linear type centers and nilpotent centers of linear plus cubic polynomial vector fields
... A vector field is said to have the finite sectorial decomposition property at a singular point p if either p is a center, a focus or a node, or it has a neighborhood consisting of a finite union of parabolic, ...
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Cofactors and equilibria for polynomial vector fields
... where P, Q ∈ C [x, y] are coprime and d is the maximum of the degrees of the polynomials P and Q. As usual C [x, y] denotes the ring of all polynomials in the variables x and y with coefficients in the complex numbers C ...
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A rigidity result for Kählerian manifolds endowed with closed conformal vector fields
... conformal vector field ξ, the second class of examples presented in the third paragraph is essentially the only ...conformal vector field ξ whose singular points are isolated, then M is isometric to a flat ...
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Integrable Lagrangian systems and symmetries
... a vector field rep- resents the infinitesimal change in the object under the flow induced by the vector field or dynamical ...of vector fields to be described below, will provide the key to ...
152
On the self conjugateness of differential forms on bounded domains
... multi-vector fields and shown that the spaces of smooth differential forms on the one hand, and smooth multi-vector functions (multi-vector fields) on the other are isomorphic in a ...
10
The phase structure of grain boundaries
... harmonic vector fields away from point defects, which arise from the limiting locations of zeros of vector fields in the associated minimizing ...
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Linear Poisson structures and Hom Lie algebroids
... Hamiltonian vector fields by using linear Poisson structures and show that there exists a relation between these vector fields and the anchor map of a Hom-Lie ...
15
Einstein-like geometric structures on surfaces
... holomorphic vector fields then the scalar curvature of an extremal Kahler metric must be constant; the analogous statement here is that an Einstein AH structure on a compact Riemann surface admitting no ...
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A unified approach to Poisson Hopf deformations of Lie Hamilton systems based on sl(2)
... Hamiltonian vector fields relative to a Poisson structure, the Lie–Hamilton systems, have found even more applications than standard Lie systems with no associated geometric structure [2, 5, 10, ...
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D EFINICIÓN DE VECTOR
... de vector que hemos dado parte del concepto geométrico de vector como segmen- to orientado, ésta fue la forma en que históricamente aparecieron y fueron ...de vector como segmento orientado sigue ...
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PRODUCTO DE UN VECTOR POR UN NÚMERO
... Igualdad de vectores: Dos vectores son iguales si tienen el mismo módulo, dirección y sentido (no necesariamente el mismo origen y el mismo extremo). Todos ellos se llaman representantes de un único vector. ...
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Ese nuevo vector de desarrollo
... nuevo vector para la produc- ción de energía limpia constituye no solo la es- peranza de una nación más verde y sostenible, sino de un territorio totalmente carbono ...
6
ApendiceMatematico pdf
... un vector, obtenemos un vector de la misma dirección y sentido pero escalado 𝑘 ...el vector por un número negativo, 𝑞, obtendremos un vector con la misma dirección, escalado 𝑞 veces, pero con ...
14
CARACTERÍSTICAS DE UN VECTOR
... un vector, se puede representar encerrando entre barras verticales de valor absoluto a la letra que corresponde, por ejemplo, |C| indica la magnitud del vector ...un vector es una cantidad positiva ...
11
Vector Calculus
... If F is irrotational then F. dx is exact. The result ‘(a) ⇒ (e)’ proves, as promised earlier, that condition (3.26b), i.e. ∇ × F = 0, is a sufficient condition for F. dx to be an exact differential in 3D (we proved that ...
139
Representación de un vector
... Para dos vectores concurrentes tales como a y b, se puede obtener el vector suma (equivalente a la resultante), a través de la regla del paralelogramo. El módulo de la resultante se obtiene aplicando el teorema o ...
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