4 papers
Normal form method of center-focus problem in piecewise-smooth systems and algorithm design
Xingwu Chen, Jiahao Li, Tao Li
We investigate the normal form method in piecewise-smooth monodromic systems to distinguish center from focus and determine the order of focus as well as degenerate Hopf bifurcatio…
Bifurcations of grazing loops of arbitrary tangent multiplicity in piecewise-smooth systems
Xingwu Chen, Zhihao Fang, Tao Li
In piecewise-smooth differential systems, a hyperbolic limit cycle of a subsystem loses its structural stability if it grazes the switching manifold at a tangent point. Such a cycl…
Crossing-sliding bifurcations in planar -symmetric Filippov systems
Xingwu Chen, Jiahao Li, Tao Li
In this paper we investigate the crossing-sliding bifurcations of planar Filippov systems with -symmetry. Such bifurcations are triggered by the perturbations of a cr…
Grazing-sliding bifurcations in planar -symmetric Filippov systems
Xingwu Chen, Zhihao Fang, Tao Li
This paper aims to explore the effect of -symmetry on grazing-sliding bifurcations in planar Filippov systems. We consider the scenario where the unperturbed system i…