Limit cycles of a class of planar polynomial differential systems
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7645
Abstract: In this paper, we study the maximum number of limit cycles that can bifurcate from a linear center, when perturbed inside a class of planar polynomial differential systems of arbitrary degree n. Using averaging theory… read more here.
Keywords: class; class planar; planar polynomial; polynomial differential ... See more keywords
New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-019-09432-x
Abstract: The problem of distinguishing between a focus and a center is one of the classical problems in the qualitative theory of planar differential systems. In this paper, we provide a new family of centers of… read more here.
Keywords: differential systems; polynomial differential; systems arbitrary; family centers ... See more keywords
Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems
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DOI: 10.1016/j.jde.2018.07.016
Abstract: In the present paper, we study the number of zeros of the first order Melnikov function for piecewise smooth polynomial differential system, to estimate the number of limit cycles bifurcated from the period annulus of… read more here.
Keywords: first order; isochronous centers; polynomial differential; differential systems ... See more keywords
On the configurations of the singular points and their topological indices for the spatial quadratic polynomial differential systems
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DOI: 10.1016/j.jde.2020.07.022
Abstract: Abstract Using the Euler-Jacobi formula there is a relation between the singular points of a polynomial vector field and their topological indices. Using this formula we obtain the configuration of the singular points together with… read more here.
Keywords: differential systems; polynomial differential; topological indices; configurations singular ... See more keywords
Polynomial differential systems with even degree have no global centers
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125281
Abstract: Abstract Let x ˙ = P ( x , y ) , y ˙ = Q ( x , y ) be a differential system with P and Q real polynomials, and let d =… read more here.
Keywords: differential systems; polynomial differential; degree global; even degree ... See more keywords