Lyapunov coefficients for degenerate Hopf bifurcations and an application in a model of competing populations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.05.040
Abstract: Abstract This paper focuses on the study of codimension one and two Hopf bifurcations and the pertinent Lyapunov stability coefficients for a general reaction–diffusion system. We display algebraic expressions for the first and second Lyapunov… read more here.
Keywords: lyapunov coefficients; hopf bifurcations; model; bifurcations application ... 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