WebAn example is the bifurcation diagram of the logistic map: + = (). The bifurcation parameter r is shown on the horizontal axis of the plot and the vertical axis shows the set … Webthis work an analysis of generic codimension two bifurcation diagram is per-formed by given a complete topological study of its phase portrait as well as the respective normal …
Hopf and Homoclinic bifurcations on the sliding vector field of ...
WebNov 1, 2024 · In planar analytic vector fields, a monodromic singularity can be distinguished between a focus or a center by means of the Lyapunov coefficients, which are given in terms of the power series... WebNov 2, 2024 · Consider the generic family of 3D Filippov linear systems that possess a double-tangency singularity of Teixeira type. We are interested in finding mechanisms for the emergence of an attractor from such a singularity, like a crossing limit cycle, an invariant torus, or a strange attractor. perry county alabama revenue commissioner
Codimension two singularities of sliding vector fields
WebApr 6, 2024 · Generic bifurcation theory was classically well developed for smooth differential systems, establishing results for k -parameter families of planar vector fields. … WebJan 1, 2011 · Sliding bifurcations involve sliding motion, for example, a limit cycle may gain or lose a sliding segment. 69 Lastly, the limit cycle may, without additional codimension, … 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. perry county ar clerks