Year: 2022
Author: Shanshan Liu, Xuyi Jin, Yujie Xiong
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 2 : pp. 352–370
Abstract
In this paper, we pay attention to the number of limit cycles for a class of piecewise smooth near-Hamiltonian systems. By using the expression of the first order Melnikov function and some known results about Chebyshev systems, we study upper bound of the number of limit cycles in Hopf bifurcation and Poincaré bifurcation respectively.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.352
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 2 : pp. 352–370
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Piecewise smooth system Melnikov function ECT-system Limit cycle.