Results 1 to 10 of about 309,932 (262)

Evolutionary stable strategies and cubic vector fields

Nonlinear Differential Equations and Applications NoDEA, 2022
The introduction of concepts of Game Theory and Ordinary Differential Equations into Biology gave birth to the field of Evolutionary Stable Strategies, with applications in Biology, Genetics, Politics, Economics and others. In special, the model composed
Jefferson L. R. Bastos, C. Buzzi, P. Santana   +2 more
semanticscholar   +4 more sources

General light-cone gauge approach to conformal fields and applications to scalar and vector fields [PDF]

Journal of High Energy Physics, 2023
Totally symmetric arbitrary spin conformal fields propagating in the flat space of even dimension greater than or equal to four are studied. For such fields, we develop a general ordinary-derivative light-cone gauge formalism and obtain restrictions ...
R. R. Metsaev
doaj   +2 more sources

Abelian integrals for cubic vector fields [PDF]

Annali di Matematica Pura ed Applicata, 1999
The authors prove that the lowest upper bound of the number of the isolated zeros to the Abelian integral \[ I(h)= \oint_{\Gamma_h}(\alpha+ \beta x+\gamma x^2)y dx \] is two for \(h\in (-1/12,0)\), where \(\Gamma_h\) is the compact component of \(H(x, y)= (1/2)y^2+ (1/3) x^3+ (1/4)x^4= h,\alpha, \beta,\gamma\) are arbitrary constants.
Yulin Zhao, Zhifen Zhang
semanticscholar   +3 more sources

Invariant Circles and Phase Portraits of Cubic Vector Fields on the Sphere

Qualitative Theory of Dynamical Systems, 2023
In this paper, we characterize and study dynamical properties of cubic vector fields on the sphere S2={(x,y,z)∈R3|x2+y2+z2=1}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
Joji Benny, Supriyo Jana, Soumen Sarkar
semanticscholar   +4 more sources

Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields

Advances in Mathematics, 2014
We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields.
Ilker E. Colak, J. Llibre, C. Valls
semanticscholar   +15 more sources

Perturbations of a Hamiltonian family of cubic vector fields [PDF]

Bulletin of the Australian Mathematical Society, 1991
This paper is related with the configurations of limit cycles for cubic polynomial vector fields in two variables (χ3).It is an open question to decide whether every limit cycle configuration in χ3 can be obtained by perturbation of a corresponding Hamiltonian configuration of centres and graphs.In this work, by considering perturbations of the ...
A. Urbina, M. Cañas, G. Barra, M. Barra
semanticscholar   +2 more sources

Z2-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields

Journal of Differential Equations, 2020
We study the global dynamical behavior of Z 2 -equivariant cubic Hamiltonian vector fields with a linear type bi-center at ( ± 1 , 0 ) . By using a series of symbolic computation tools, we obtain all possible phase portraits of these Z 2 -equivariant ...
Ting Chen, Shimin Li, J. Llibre
semanticscholar   +2 more sources

Rod-packing arrangements of invariant tori in solenoidal vector fields with cubic symmetries

Journal of Mathematical Chemistry, 2022
The arrangements of invariant tori that resemble rod packings with cubic symmetries are considered in three-dimensional solenoidal vector fields. To find them systematically, vector fields whose components are represented in the form of multiple Fourier ...
T. Nishiyama
semanticscholar   +2 more sources

Cubic Vector Fields Symmetrical with Respect to a Center

Journal of Differential Equations, 1995
The purpose of this paper is twofold. First the authors give a new proof of the integrability of cubic symmetric systems with respect to a center at the origin by the method of Darboux, which uses invariant algebraic curves. The first integrals of the systems are all elementary and their complete list is given in the paper.
C. Rousseau, D. Schlomiuk
semanticscholar   +2 more sources

Cubic perturbations of elliptic Hamiltonian vector fields of degree three [PDF]

Journal of Differential Equations, 2014
The purpose of the present paper is to study the limit cycles of one-parameter perturbed plane Hamiltonian vector field $X_\varepsilon$ $$ X_\varepsilon : \left\{ \begin{array}{llr} \dot{x}=\;\; H_y+\varepsilon f(x,y)\\ \dot{y}=-H_x+\varepsilon g(x,y ...
L. Gavrilov, I. Iliev
semanticscholar   +5 more sources