23 citations · 23 across the 9 of their papers we have counts for
9 papers
Topological Horseshoe Induced by Periodic Switching Between Non-Isochronous Planar Systems
Junfeng Cheng, Xiao-Song Yang
We establish a criterion for the existence of a topological horseshoe in a class of planar systems generated by periodic switching between two subsystems, each admitting a family o…
Indices of equilibrium points of linear control systems with saturated state feedback
Xiao-Song Yang, Weisheng Huang
In this paper we investigate some properties of equilibrium points in n-dimensional linear control systems with saturated state feedback. We provide an index formula for equilibriu…
Singular cycles connecting saddle periodic orbit and saddle equilibrium in piecewise smooth systems
Lei Wang, Xiao-Song Yang
For flows, the singular cycles connecting saddle periodic orbit and saddle equilibrium can poten- tially result in the so-called singular horseshoe, which means the existence of a…
The invariant tori of knot type and the interlinked invariant tori in the Nosé-Hoover system
Lei Wang, Xiao-Song Yang
We revisit the famous Nosé-Hoover system in this paper and show the existence of some averagely conservative regions which are filled with an infinite sequence of nested tori. Depe…
Saddle-point-Saddle-focus singular cycles and existence of horseshoes
xiao-song Yang
In this paper we study a type of two singular point singular cycle where one heteroclinic orbit is the transversal intersection of the 2-dimensional stable manifold of one singular…
Targetability of chaotic sets with small parameter perturbations
Xiao-Song Yang
In this paper targetability of chaotic sets with small controls is discussed by virtue of some results of geometric control theory. It is proved that given a chaotic set Λ, it is p…