Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers
نویسندگان
چکیده
منابع مشابه
Uniform isochronous cubic and quartic centers: Revisited
In this paper we completed the classification of the phase portraits in the Poincaré disc of uniform isochronous cubic and quartic centers previously studied by several authors. There are three and fourteen different topological phase portraits for the uniform isochronous cubic and quartic centers respectively.
متن کاملLimit Cycles for a Class of Continuous and Discontinuous Cubic Polynomial Differential Systems
We study the maximum number of limit cycles that bifurcate from the periodic solutions of the family of isochronous cubic polynomial centers ẋ = y(−1+2αx+2βx), ẏ = x+α(y−x)+ 2βxy, α ∈ R, β < 0, when it is perturbed inside the classes of all continuous and discontinuous cubic polynomial differential systems. We obtain that the maximum number of limit cycles which can be obtained by the averaging...
متن کاملPhase portraits of uniform isochronous quartic centers
In this paper we classify the global phase portraits in the Poincaré disc of all quartic polynomial differential systems with a uniform isochronous center at the origin.
متن کاملLimit Cycles for Piecewise Smooth Perturbations of a Cubic Polynomial Differential Center
In this article, we study the planar cubic polynomial differential system ẋ = −yR(x, y) ẏ = xR(x, y) where R(x, y) = 0 is a conic and R(0, 0) 6= 0. We find a bound for the number of limit cycles which bifurcate from the period annulus of the center, under piecewise smooth cubic polynomial perturbations. Our results show that the piecewise smooth cubic system can have at least 1 more limit cycle...
متن کاملBifurcation of Limit Cycles from Quartic Isochronous Systems
This article concerns the bifurcation of limit cycles for a quartic system with an isochronous center. By using the averaging theory, it shows that under any small quartic homogeneous perturbations, at most two limit cycles bifurcate from the period annulus of the considered system, and this upper bound can be reached. In addition, we study a family of perturbed isochronous systems and prove th...
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: Journal of Computational and Applied Mathematics
سال: 2015
ISSN: 0377-0427
DOI: 10.1016/j.cam.2014.09.007