Bifurcation of limit cycles in piecewise smooth systems via Melnikov function
By Maoan Han, Lijuan Sheng. 2015
99 citations recorded by the source corpus.
In this short paper, we present some remarks on the role of the rstorder Melnikov functions in studying the number of limit cycles of piecewisesmooth near-Hamiltonian systems on the plane.
Subfields: Astronomy and Astrophysics, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/0761d75cd5db7d033bb0f615d535221c5486f074
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In Astronomy and Astrophysics
In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- On the maximum number of periodic solutions of piecewise smooth periodic equations by average method (2017, background): “One can apply theorems obtained in [2] to study the maximum number of limit cycles for piecewise smooth near-Hamiltonian systems on the plane.”