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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…
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…