23 citations · 23 across the 9 of their papers we have counts for
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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…
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…
Existence of periodic orbits in three-dimensional piecewise linear systems
Songmei Huan, Xiao-Song Yang
Based on the results about the invariant cones appeared in the literature this paper analyses the existence of periodic orbits in three-dimensional continuous piecewise linear homo…
Nonstandard Hopf bifurcation in switched
Xiao-Song Yang, Songmei Huan
This paper presents an analysis on nonstandard generalized Hopf bifurcation in a class of switched systems where the lost of stability of linearized systems is not due to the cross…
Existence and bifurcation of homoclinic orbits in planar piecewise linear systems
Xiao-Song Yang, Songmei Huan
The existence and bifurcation of homoclinic orbits in planar piecewise linear homogeneous systems with two regions separated by a discontinuity boundary are investigated in this pa…