Centers of quasi-homogeneous polynomial differential equations of degree three
نویسندگان
چکیده
منابع مشابه
Limit Cycles Bifurcating from Planar Polynomial Quasi–homogeneous Centers
In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7].
متن کاملDegree Computations for Positively Homogeneous Differential Equations
We study 2π-periodic solutions of
متن کاملCenter of Planar Quintic Quasi–homogeneous Polynomial Differential Systems
In this paper we first characterize all quasi–homogeneous but non–homogeneous planar polynomial differential systems of degree five, and then among which we classify all the ones having a center at the origin. Finally we present the topological phase portrait of the systems having a center at the origin.
متن کاملFibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part*
We investigate non-homogeneous linear differential equations of the form x′′(t) + x′(t) − x (t) = p (t) where p (t) is either a polynomial or a factorial polynomial in t. We express the solution of these differential equations in terms of the coefficients of p (t), in the initial conditions, and in the solution of the corresponding homogeneous differential equation y′′(t) + y′(t) − y (t) = 0 wi...
متن کاملChini Equations and Isochronous Centers in Three-Dimensional Differential Systems
We study the number of limit cycles of T−periodic Chini equations and some generalized Abel equations and apply the results obtained to illustrate the existence of isochronous centers in three-dimensional autonomous differential systems. Mathematics Subject Classification (2000). Primary: 34C25; Secondary: 37C10, 37C27.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2014
ISSN: 0001-8708
DOI: 10.1016/j.aim.2013.12.006