Volume 10, Number 2, 2020, Pages 816-829 DOI:10.11948/20200003 |
Further studies on limit cycle bifurcations for piecewise smooth near-Hamiltonian systems with multiple parameters |
Maoan Han,Shanshan Liu |
Keywords:Piecewise Hamiltonian systems, Melnikov function, limit cycle bifurcation. |
Abstract: |
This paper investigates the limit cycle bifurcations for piecewise smooth near-Hamiltonian systems with multiple parameters. The formulas for the second and third term in expansions of the first order Melnikov function are derived respectively. The main results improve some known conclusions. |
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