Results 11 to 20 of about 3,352 (233)
Global‐phase portrait and large‐degree asymptotics for the Kissing polynomials [PDF]
Studies in Applied Mathematics, 2021 AbstractWe study a family of monic orthogonal polynomials that are orthogonal with respect to the varying, complex‐valued weight function, , over the interval , where is arbitrary. This family of polynomials originally appeared in the literature when the parameter was purely imaginary, that is, , due to its connection with complex Gaussian quadrature ...
Barhoumi, A, Celsus, AF, Deaño, A
openaire +8 more sources
Global phase portraits of a SIS model [PDF]
Applied Mathematics and Computation, 2013 In the qualitative theory of ordinary differential equations, we can find many papers whose objective is the classification of all the possible topological phase portraits of a given family of differential system. Most of the studies rely on systems with real parameters and the study consists of outlining their phase portraits by finding out some ...
Oliveira, Regilene, Rezende, Alex C.
openaire +6 more sources
Global Phase Portrait and Local Integrability of Holomorphic Systems
Qualitative Theory of Dynamical Systems, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gouveia, Luiz F. S. +2 more
openaire +2 more sources
GLOBAL PHASE PORTRAITS OF SOME REVERSIBLE CUBIC CENTERS WITH NONCOLLINEAR SINGULARITIES [PDF]
International Journal of Bifurcation and Chaos, 2013 The results in this paper show that the cubic vector fields ẋ = -y + M(x, y) - y(x2+ y2), ẏ = x + N(x, y) + x( x2+ y2), where M, N are quadratic homogeneous polynomials, having simultaneously a center at the origin and at infinity, have at least 61 and at most 68 topologically different phase portraits.
Caubergh, Magdalena, Torregrosa, Joan
openaire +5 more sources
Darboux polynomials and global phase portraits for the D2 vector field [PDF]
Journal of Mathematical Analysis and Applications, 2019 We study a vector field of R^3 equivariant under the D_2 symmetry group, called "the D_2 field" in the literature. We construct the complete list of Darboux polynomials for it, solving the partial differential equation defining them. We also use these polynomials to comment on its global qualitative behaviour.
Katsios, Kostas, Anastassiou, Stavros
openaire +3 more sources
Global phase portraits of the key pitchfork bifurcation [PDF]
SCIENTIA SINICA Mathematica, 2019 This paper deals with the following quadratic polynomial differential system$\frac{dx}{dt}=y^{2}-y-x,$ $\frac{dy}{dt}=x^{2}$ $-\,~\mu~x-y,$with parameter $\mu\in\mathbb{R}$, which is the key example for studying the pitchfork bifurcation of a singular point. We classify the global phase portraits in the Poincare disc of this system when $\mu$ varies.
Jaume, Llibre, Shimin, Li
openaire +1 more source
Global phase portraits of the generalized van der Pol systems
Bulletin des Sciences Mathématiques, 2023 We consider the generalized van der Pol systems x˙ = y, y˙ = -x + (1-x) f(y), where f ∈ R[y]. The classical van der Pol systems have f(y) = y. We first characterize when the origin of the generalized van der Pol systems is a center, and second we provide the global phase portraits in the Poincaré disc of the generalized van der Pol when f(y) = ay + ay ...
Jaume Llibre, Claudia Valls
openaire +4 more sources
Bifurcation Diagrams and Global Phase Portraits for Some Hamiltonian Systems with Rational Potentials [PDF]
International Journal of Bifurcation and Chaos, 2018 In this paper, we study the global dynamical behavior of the Hamiltonian system [Formula: see text], [Formula: see text] with the rational potential Hamiltonian [Formula: see text], where [Formula: see text] and [Formula: see text] are polynomials of degree 1 or 2.
Ting Chen, Jaume Llibre
openaire +4 more sources
Global Analysis of a Liénard System with Quadratic Damping
Discrete Dynamics in Nature and Society, 2018 In this paper, the global analysis of a Liénard equation with quadratic damping is studied. There are 22 different global phase portraits in the Poincaré disc.
Feng Guo
doaj +1 more source
Using Convolutional Neural Network to Emulate Seasonal Tropical Cyclone Activity
Journal of Advances in Modeling Earth Systems, 2023 It has been widely recognized that tropical cyclone (TC) genesis requires favorable large‐scale environmental conditions. Based on these linkages, numerous efforts have been made to establish an empirical relationship between seasonal TC activities and ...
Dan Fu, Ping Chang, Xue Liu
doaj +1 more source