3 papers
math.DS2026
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…
nlin.CD2025
Variation of entropy in the Duffing system with the amplitude of the external force
Junfeng Cheng, Xiao-Song Yang
In this paper, we revisit the well-known perturbed Duffing system and investigate its chaotic dynamics by means of numerical Runge--Kutta method based on topological horseshoe theo…
math.DS2025
Incomplete crossing and semi-topological horseshoes
Junfeng Cheng, Xiao-Song Yang
This paper enriches the topological horseshoe theory using finite subshift theory in symbolic dynamical systems, and develops an elementary framework addressing incomplete crossing…