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Computation of the Center Isochronism Conditions for Polynomial Systems
Differential Equations, 2002Romanovskii, V. G., Robnik, M.
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On the isochronism of the center of a system of nonlinear oscillations
1989The author studies a system of differential equations of the form \(x'=y\), \(y'=P(x,y)\), \(P(0,0)=0\), where \(P(x,y)\) is a fourth degree polynomial. \textit{I. S. Kukles} [Dokl. Akad. Nauk SSSR 57, No. 4, 166 (1944)] found the necessary and sufficient conditions in order for the equilibrium point (0,0) of the system to be of a center type.
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The number of limit cycles bifurcating from the periodic orbits of an isochronous center
Mathematical Methods in the Applied Sciences, 2019Sabrina Badi
exaly
UNIFORM ISOCHRONOUS CENTER OF HIGHER-DEGREE POLYNOMIAL DIFFERENTIAL SYSTEMS
Journal of Applied Analysis and Computation, 2023exaly
A class of reversible cubic systems with an isochronous center
Computers and Mathematics With Applications, 1999Jaume Gine +2 more
exaly
BIFURCATION OF LIMIT CYCLES AND ISOCHRONOUS CENTER AT INFINITY FOR A CLASS OF DIFFERENTIAL SYSTEMS
Journal of Applied Analysis and Computation, 2011Weinian Zhang +2 more
exaly

