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Nonequilibrium Transient Centers in Continuous-Time Systems — arXiv:2610.41930

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.41930
License (as archived): CC0-1.0
Archived: 2026-11-03T05:59:43.517Z
SHA-256 of the archived text: 7627d6d1bcaff64b34332e8e14f9e61a7b90e349720c7edf42da6dc6cb9c2a72
Stable URL of this page: https://metraipolis.com/documento/dc_89bf2af3fcef

How to cite

Nonequilibrium Transient Centers in Continuous-Time Systems — arXiv:2610.41930 — arXiv (en), https://arxiv.org/abs/2610.41930 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_89bf2af3fcef (Metraipolis archive dc_89bf2af3fcef, sha256 7627d6d1bcaff64b34332e8e14f9e61a7b90e349720c7edf42da6dc6cb9c2a72)

BibTeX

@misc{dc89bf2af3fcef,
  title = {Nonequilibrium Transient Centers in Continuous-Time Systems — arXiv:2610.41930},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.41930},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_89bf2af3fcef; sha256 7627d6d1bcaff64b34332e8e14f9e61a7b90e349720c7edf42da6dc6cb9c2a72},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.41930. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Analysis of mathematical models in ecology and epidemiology often emphasizes asymptotic dynamics, such as stable equilibria, periodic orbits, and attractors. However, many biologically relevant trajectories exhibit long transient dynamics in which a relevant observable evolves slowly for an extended period before a comparatively rapid transition occurs. On finite time scales relevant to data collection, management, and intervention, such transient behavior can be more informative than the eventual asymptotic outcome. In this work, we study long-lasting and slowly varying transient dynamics in continuous-time systems through the framework of nonequilibrium transient centers. These centers are points in the state space near which the observable can remain nearly constant for a long time, even when the full state is not near an equilibrium. We develop finite-time escape criteria for identifying such centers and their reachable counterparts. These criteria provide practical conditions under which nearby trajectories can remain in a slow regime for a long period of time before eventually leaving it. We apply the theory to an epidemic model with delay of stability loss. In this model, trajectories may remain close to the disease-free manifold for a long time before the infectious population resurges. The framework developed here describes this behavior as slow evolution near a nonequilibrium transient center followed by finite-time escape from the slow regime.

Tema degli esploratori: scienze della vita e salute (elenco arXiv q-bio.PE, nuovi lavori del giorno).
Categorie arXiv: Dynamical Systems (math.DS) ; Populations and Evolution (q-bio.PE).
Pagina del lavoro: https://arxiv.org/abs/2610.41930 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-03T05:40:33.393Z dalla pagina https://arxiv.org/list/q-bio.PE/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).