Showing math.DSShow all
3 papers · 1 filter
math.DS2025
Interplay between Contractivity and Monotonicity for Reaction Networks
Alon Duvall, M. Ali Al-Radhawi, Dhruv D. Jatkar +1
We establish a new relationship between monotonicity and contractivity and use this connection to describe a new general class of weakly contractive reaction networks. The new clas…
math.DS2025
Computationally Checking if a Reaction Network is Monotone or Non-expansive
Alon Duvall
We present a systematic procedure for testing whether reaction networks exhibit non-expansivity or monotonicity. This procedure identifies explicit norms under which a network is n…
math.DS2024
A remark on omega limit sets for non-expansive dynamics
Alon Duvall, Eduardo D. Sontag
In this paper, we study systems of time-invariant ordinary differential equations whose flows are non-expansive with respect to a norm, meaning that the distance between solutions…