Results 1 to 10 of about 2,875,390 (257)
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
Periodic perturbations of quadratic planar polynomial vector fields
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 +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In 1998, Artés, Kooij and Llibre proved that there exist 44 structurally stable topologically distinct phase portraits modulo limit cycles, and in 2018 Artés, Llibre and Rezende showed the existence of at least 204 (at most 211) structurally unstable ...
Joan Artés, Marcos Mota, Alex Rezende
doaj +1 more source
A new approach to integrals of discretizations by polarization [PDF]
Open Communications in Nonlinear Mathematical PhysicsRecently, a family of unconventional integrators for ODEs with polynomial vector fields was proposed, based on the polarization of vector fields. The simplest instance is the by now famous Kahan discretization for quadratic vector fields.
Yuri B. Suris
doaj +1 more source
Stability in quadratic torsion theories
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
doaj +1 more source