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- Title
Piecewise Smooth Perturbations to a Class of Planar Cubic Centers.
- Authors
Peng, Linping; Li, Yue; Sun, Dan
- Abstract
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.
- Subjects
LIMIT cycles; SYSTEMS theory; ARGUMENT
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2023, Vol 33, Issue 6, p1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127423500682