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 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. By studying the expansions of the first order Melnikov function, we derive the formulas for the second and third term respectively, which can be applied in finding more limit cycles. Finally, we give an example showing the application of the obtained main results.