WebAbstract In this paper, we analytically consider sliding bifurcations of periodic orbits in the dry-friction oscillator. The system depends on two parameters: F, which corresponds to …
Codimension two singularities of sliding vector fields
WebWe are interested in finding under what conditions the family has a crossing limit cycle, when the sliding region changes its stability. We call this phenomenon the pseudo-Hopf bifurcation. This class of systems is motivated by piecewise-linear control systems which have not yet been treated in the context of crossing limit cycles. WebAbstract. Using the singularity theory of scalar functions, we derive a classification of sliding bifurcations in piecewise-smooth flows. These are global bifurcations which occur when … cr bss tmx 410 mh8–108a black frame
Generic bifurcation of certain piecewise smooth vector fields
WebFeb 1, 2024 · In particular, it has been shown that, in this scenario, the sliding vector field undergoes a saddle–node bifurcation. However, the unfolding dynamics in the crossing regions has not been addressed. We aim to fill this gap, and thus to present complete and detailed results on the unfolding dynamics of a Fold bifurcation of T-singularities. WebOct 18, 2024 · The purpose of this work is to study the generic singularities of planar piecewise vector fields Z which discontinuity set is given by the zeros of the map f (x_1,x_2). As it is known that there are coordinates around the origin such that f can be written as f (x_1,x_2)=x_1^2 \pm x_2^2. WebMay 27, 2024 · The main objective is to study bifurcations of a homoclinic-like connection through a saddle-regular point, then consider a piecewise smooth vector field Z_0= … crb steel turning mandrels