Regularization of saddle-fold singularity for nonsmooth differential systems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.02.003
Abstract: Abstract This paper is concerned with the saddle-fold singularity that is a codimension two singularity for piecewise smooth planar differential systems. The approach consists in apply the Regularization's Method to the unfolding of the saddle-fold… read more here.
Keywords: differential systems; regularization saddle; singularity nonsmooth; singularity ... See more keywords
Lyapunov coefficients for an invisible fold-fold singularity in planar piecewise Hamiltonian systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123692
Abstract: Abstract We study the stability of an invisible fold-fold singularity of planar piecewise smooth Hamiltonian vector fields by computing some kind of Lyapunov coefficients. We obtain the general expressions for the first five Lyapunov coefficients.… read more here.
Keywords: lyapunov coefficients; fold fold; singularity planar; planar piecewise ... See more keywords