Abstract
In this paper, limit cycles of polynomial dynamical systems are studied. For the global analysis of bifurcations of limit cycles, we use the Wintner–Perko termination principle. Monotone families of limit cycles and rotated vector fields and limit-cycle problems for quadratic systems are also discussed.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol.7 , Suzdal Conference–1,2003 .
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Gaiko, V.A. Wintner-perko termination principle, parameters rotating a field, and limit-cycle problem. J Math Sci 126, 1259–1266 (2005). https://doi.org/10.1007/PL00021956
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DOI: https://doi.org/10.1007/PL00021956