… Cuspidal loops appear persistently in three-parameter families of planar vector fields. The
bifurcation diagrams of unfoldings of cuspidal loops … the generic cuspidal loop bifurcates into …

… of order 2 and its expansion at the Hamiltonian value corresponding to the loop. The …
cuspidal loop of order 2 under certain conditions. Then we consider the cyclicity of a cuspidal loop …

… a cusp-preserving unfolding of a Hamiltonian cuspidal loop with … cusp-preserving unfolding
of a Hamiltonian cuspidal loop. … cusppreserving unfolding of a Hamiltonian cuspidal loop has …

… cuspidal loop passing through the origin. Recall that a double cuspidal loop is a singular
cycle consisting of a cusp point O and a connection Γ 0 between the two branches of the cusp. …

… function for general Hamiltonian systems with a cuspidal loop having order m. Some criteria
… type (n, 9) and prove that it can have 14 limit cycles near a cuspidal loop of order 3 for n = 8. …

… We focus on the cuspidal loops and the subsidiary bifurcations that appear in the system. …
consider two-dimensional bifurcation sets in the vicinity of the cuspidal loop point. Between all …

… bifurcation theory of planar endomorphisms. Namely, we present the unfoldings of a
codimension-two bifurcation, which we call the cusp-cusp bifurcation… as the loop-creation …

… We remark that the cuspidal loop is in general the limit case of a double homoclinic loop. It
… Our task is to study the problem of limit cycle bifurcation near the cuspidal loop L0 by using …

… In particular, we study the bifurcation of limit cycles in the following system: … homoclinic loop
of cuspidal type passing through a nilpotent saddle surrounded by a heteroclinic loop. More …

… cuspidal loop has been studied; its codimension is 3 and hence three parameters are needed
in the unfolding. In the current paper the cuspidal loop is of … The bifurcation diagram of the …