24 crossing limit cycles in only one nest for piecewise cubic systems. (May 2020)

• Record Type: Journal Article
• Authors: Gouveia, Luiz F.S.; Torregrosa, Joan
• Is Part Of: Applied mathematics letters. Volume 103(2020)
• Publication Date: 2020-05
• Subjects: Cubic piecewise vector field -- Piecewise center cyclicity -- Lyapunov quantities; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2019.106189
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this work, we are interested in crossing limit cycles surrounding only one equilibrium point or a sliding segment. The studied systems are piecewise cubic polynomial defined in two zones separated by a straight line. In this class, we get at least 24 crossing limit cycles, all of them in only one nest, bifurcating from a cubic polynomial center. The computations use a parallelization algorithm.