Coupled Dynamics and Quiescent Phases

DOI10.1007/978-3-540-44446-6_2zbMath1127.37025OpenAlexW286588660MaRDI QIDQ5434313

Karl Peter Hadeler, Thomas Hillen

Publication date: 4 January 2008

Published in: Math Everywhere (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-44446-6_2

zbMATH Keywords

attractorssingular perturbationsscaling limitsgradient fieldsstability of stationary pointsamplitudes of periodic orbitsdiffusively coupled dynamical systemssystems with quiescent phase

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Biochemistry, molecular biology (92C40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations of ordinary differential equations (34D15) Periodic orbits of vector fields and flows (37C27) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45) Stability theory for smooth dynamical systems (37C75)

Related Items (9)

Quiescence stabilizes predator–prey relations ⋮ Modelling the compartmentalization of splicing factors ⋮ Quiescence, excitability, and heterogeneity in ecological models ⋮ Dynamics in a Rosenzweig-MacArthur predator-prey system with quiescence ⋮ Quiescent phases and stability in discrete time dynamical systems ⋮ Does dormancy increase fitness of bacterial populations in time-varying environments? ⋮ Quiescent phases and stability ⋮ Homogeneous Systems with a Quiescent Phase ⋮ Monotone dependence of the spectral bound on the transition rates in linear compartment models

This page was built for publication: Coupled Dynamics and Quiescent Phases