BIFURCATION OF LIMIT CYCLES IN PIECEWISE SMOOTH SYSTEMS VIA MELNIKOV FUNCTION
Author(s) -
Maoan Han,
Lijuan Sheng
Publication year - 2015
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2015061
Subject(s) - mathematics , piecewise , bifurcation , limit (mathematics) , limit cycle , mathematical analysis , piecewise linear function , function (biology) , hamiltonian system , plane (geometry) , nonlinear system , geometry , physics , quantum mechanics , evolutionary biology , biology
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.
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