Limit cycles of homogeneous polynomial Kukles differential systems

Jaume Giné and Joan Torregrosa

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 237, issue C, 335-343

Abstract: We study the number of limit cycles which can bifurcate from the periodic orbits of the harmonic oscillator when it is perturbed by homogeneous polynomials of degree n, only in the second differential equation, which corresponds to the so-called Kukles systems. Moreover, the degenerate Hopf bifurcation is also studied for such systems.

Keywords: Kukles differential system; Limit cycles; Center problem (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:237:y:2025:i:c:p:335-343

DOI: 10.1016/j.matcom.2025.04.045

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