Lower bounds for the local cyclicity for families of centers
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.11.035
Abstract: Abstract In this paper, we are interested in how the local cyclicity of a family of centers depends on the parameters. This fact was pointed out in [21] , to prove that there exists a… read more here.
Keywords: limit cycles; cyclicity; lower bounds; cyclicity families ... See more keywords
Local cyclicity in low degree planar piecewise polynomial vector fields
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2020.103278
Abstract: Abstract In this work, we are interested in isolated crossing periodic orbits in planar piecewise polynomial vector fields defined in two zones separated by a straight line. In particular, in the number of limit cycles… read more here.
Keywords: piecewise polynomial; polynomial vector; planar piecewise; vector fields ... See more keywords