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math.DS2026
Statistical behavior of systems with nested invariant cones
Xu Cheng, Yufeng Zhang, Dun Zhou
Nested invariant cones (NICs) encode hierarchical order and oscillation structures in many finite and infinite dimensional dynamical systems. We investigate how this hierarchy cons…
math.DS2025
Structural stability for the bidirectional cyclic negative feedback systems
Xu Cheng, Yi Wang, Dun Zhou
We establish the generic Kupka--Smale property for bidirectional cyclic negative feedback systems on open convex domains in the compact-open topology. Under an inward-pointin…