5 papers
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…
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…
Improving PINNs By Algebraic Inclusion of Boundary and Initial Conditions
Mohan Ren, Zhihao Fang, Keren Li +1
"AI for Science" aims to solve fundamental scientific problems using AI techniques. As most physical phenomena can be described as Partial Differential Equations (PDEs) , approxima…
Bifurcations and explicit unfoldings of grazing loops connecting one high multiplicity tangent point
Zhihao Fang, Xingwu Chen
For piecewise-smooth differential systems, in this paper we focus on crossing limit cycles and sliding loops bifurcating from a grazing loop connecting one high multiplicity tangen…
Classifications and bifurcations of tangent points and their loops of planar piecewise-smooth systems
Zhihao Fang, Xingwu Chen
Tangent points, especial dynamics existing only in piecewise-smooth systems, usually have dynamical properties like equilibria of smooth systems. Loops connecting tangent points ow…