Robust steady states in ecosystems with symmetries

S Jahedi, T Sauer, JA Yorke - Journal of Biological Dynamics, 2023 - Taylor & Francis
Steady states of dynamical systems, whether stable or unstable, are critical for
understanding future evolution. Robust steady states, ones that persist under small changes …

Reconstruction of network dynamics from partial observations

T Berry, T Sauer - arXiv preprint arXiv:2404.13088, 2024 - arxiv.org
We investigate the reconstruction of time series from dynamical networks that are partially
observed. In particular, we address the extent to which the time series at a node of the …

Extinction of multiple populations and a team of die-out Lyapunov functions

N Akhavan, JA Yorke - SIAM Journal on Applied Dynamical Systems, 2023 - SIAM
The extinction of species is a major problem of concern with a large literature. We
investigate a differential equations model for population interactions with the goal of …