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Periodic perturbations of quadratic planar polynomial vector fields [PDF]
Anais da Academia Brasileira de Ciências, 2002 In this work are studied periodic perturbations, depending on two parameters, of quadratic planar polynomial vector fields having an infinite heteroclinic cycle, which is an unbounded solution joining two saddle points at infinity.
MARCELO MESSIAS
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Uniqueness of limit cycles for quadratic vector fields [PDF]
Discrete & Continuous Dynamical Systems - A, 2019 Producción CientíficaThis article deals with the study of the number of limit cycles surrounding a critical point of a quadratic planar vector field, which, in normal form, can be written as x ′ = a1x − y − a3x 2 + (2a2 + a5)xy+a6y 2 , y ′ = x ...
Bravo, José Luis +3 more
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Stability in quadratic torsion theories [PDF]
European Physical Journal C: Particles and Fields, 2017 We revisit the definition and some of the characteristics of quadratic theories of gravity with torsion. We start from a Lagrangian density quadratic in the curvature and torsion tensors.
Teodor Borislavov Vasilev +3 more
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Asymptotically safe f(R)-gravity coupled to matter II: Global solutions [PDF]
Physics Letters B, 2019 Ultraviolet fixed point functions of the functional renormalisation group equation for f(R)-gravity coupled to matter fields are discussed. The metric is split via the exponential parameterisation into a background metric and a fluctuating part, the ...
Natália Alkofer
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Holomorphic vector fields and quadratic differentials on planar triangular meshes [PDF]
, 2015 Given a triangulated region in the complex plane, a discrete vector field $Y$ assigns a vector $Y_i\in \mathbb{C}$ to every vertex. We call such a vector field holomorphic if it defines an infinitesimal deformation of the triangulation that preserves ...
Lam, Wai Yeung, Pinkall, Ulrich
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Quadratic vector fields with a weak focus of third order [PDF]
Publicacions Matemàtiques, 1997 We study phase portraits of quadratic vector fields with a weak focus of third order at the origin. We show numerically the existence of at least 20 different global phase portraits for such vector fields coming from exactly 16 different local phase ...
Artés, Joan Carles, Llibre, Jaume
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Phase Portraits of Families VII and VIII of the Quadratic Systems
Axioms, 2023 The quadratic polynomial differential systems in a plane are the easiest nonlinear differential systems. They have been studied intensively due to their nonlinearity and the large number of applications.
Laurent Cairó, Jaume Llibre
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Existence of Split Property in Quaternion Algebra Over Composite of Quadratic Fields
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Quaternions are extensions of complex numbers that are four-dimensional objects. Quaternion consists of one real number and three complex numbers, commonly denoted by the standard vectors and .
Muhammad Faldiyan +2 more
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Demonstratio Mathematica, 2023 The classification of the phase portraits is one of the classical and difficult problems in the qualitative theory of polynomial differential systems in R2{{\mathbb{R}}}^{2}, particularly for quadratic systems.
Benterki Rebiha, Belfar Ahlam
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Shift symmetries and duality web in gauge theories
Nuclear Physics B, 2023 Using a generalised Noether prescription we are able to extract all the currents and their conservation laws in space dependent shift symmetric theories.
Rabin Banerjee, Anwesha Chakraborty
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