Results 1 to 10 of about 274,225 (273)
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
doaj +6 more sources
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
core +5 more sources
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
core +3 more sources
Psi-series of quadratic vector fields on the plane [PDF]
Publicacions Matemàtiques, 1997 Psi-series (i.e., logarithmic series) for the solutions of quadratic vector fields on the plane are considered. Its existence and convergence is studied, and an algorithm for the location of logarithmic singularities is developed.
Delshams, Amadeu, Mir, A.
core +10 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Diffeomorphisms as quadratic charges in 4d BF theory and related TQFTs
Journal of High Energy Physics, 2023 We present a Sugawara-type construction for boundary charges in 4d BF theory and in a general family of related TQFTs. Starting from the underlying current Lie algebra of boundary symmetries, this gives rise to well-defined quadratic charges forming an ...
Marc Geiller +3 more
doaj +1 more source
Induced Einstein gravity from infinite towers of states
Nuclear Physics B, 2021 We consider four-dimensional quadratic gravity coupled to infinite towers of free massive scalar fields, Weyl fermions and vector bosons. We find that for specific numbers of towers, finite cosmological and Newton constants are induced in the 1-loop ...
A. Kehagias +2 more
doaj +1 more source