Linearization of Isochronous Centers
نویسندگان
چکیده
منابع مشابه
Quadratic Isochronous Centers Commute
We prove that every quadratic plane differential system having an isochronous center commutes with a polynomial differential system.
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In this paper we classify the centers and the isochronous centers of certain polynomial differential systems in R2 of degree d ≥ 5 odd that in complex notation can be written as ż = (λ+ i)z + (zz̄) d−5 2 (Az +Bzz̄ + Czz̄ +Dzz̄ + Ezz̄ + F z̄), where λ ∈ R and A,B,C,D,E, F ∈ C. Note that if d = 5 we obtain the full class of polynomial differential systems of the form a linear system with homogeneous po...
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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.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1995
ISSN: 0022-0396
DOI: 10.1006/jdeq.1995.1122