Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 33, Issue 6, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127423500682
Keywords
Piecewise smooth perturbation; limit cycle bifurcation; planar cubic center; averaging method; Argument Principle
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This paper studies the limit cycle bifurcations of a class of planar cubic isochronous centers, estimating the maximum number of limit cycles bifurcating from the period annulus under polynomial perturbations. The main methods involve the first order averaging theory for discontinuous systems and the Argument Principle in complex analysis.
This paper studies the limit cycle bifurcations of a class of planar cubic isochronous centers. For different values of two key parameters, we give an estimate of the maximum number of limit cycles bifurcating from the period annulus of the unperturbed systems under arbitrarily small piecewise smooth polynomial perturbation. The main method and technique are based on the first order averaging theory for discontinuous systems and the Argument Principle in complex analysis.
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