Exploring Limit Cycle Bifurcations in the Presence of a Generalized Heteroclinic Loop

This work revisits the number of limit cycles (LCs) in a piecewise smooth system of Hamiltonian with a heteroclinic loop generalization, subjected to perturbed functions through polynomials of degree <i>m</i>. By analyzing the asymptotic expansion (AE) of the Melnikov function with first...

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Bibliographic Details
Main Authors: Erli Zhang, Stanford Shateyi
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/18/3944