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Isochronous Centers and Isochronous Functions
Acta Mathematicae Applicatae Sinica, English Series, 2002The author investigates the isochronous centers of two classes of planar systems of ordinary differential equations: 1) Liénard systems of the form \((\dot x)=y-F(x),(\dot y)=-g(x)\), 2) Hamiltonian systems of the form \((\dot x)=-g(y)\), \((\dot y)=f(x)\), with emphasis on the case when the functions \(g\) or \(f\) are isochronous. For the first class
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Isochronous and Strongly Isochronous Foci of Polynomial Liénard Systems
Differential Equations, 2022A two-dimensional Liénard system having an isochronous focus at the origin is studied. A normal form is proposed to this end to study the global behavior of the system.
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