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
Isochronous centers of polynomial Hamiltonian systems and a conjecture of Jarque and Villadelprat
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DOI: 10.1016/j.jde.2018.10.032
Abstract: We study the conjecture of Jarque and Villadelprat stating that every center of a planar polynomial Hamiltonian system of even degree is nonisochronous. This conjecture is proved for quadratic and quartic systems. Using the correction… read more here.
Keywords: conjecture jarque; polynomial hamiltonian; jarque villadelprat; conjecture ... See more keywords
Complex isochronous centers and linearization transformations for cubic Z2-equivariant planar systems
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DOI: 10.1016/j.jde.2019.10.011
Abstract: Abstract In this paper, we study complex isochronous center problem for cubic complex planar vector fields, which are assumed to be Z 2 -equivariant with two symmetric centers. Such integrable systems can be classified as… read more here.
Keywords: transformations cubic; isochronous centers; centers linearization; complex isochronous ... See more keywords