4 citations · 12 across the 7 of their papers we have counts for
7 papers
Homeostasis in Input-Output Networks: Structure, Classification and Applications
Fernando Antoneli, Martin Golubitsky, Jiaxin Jin +1
Homeostasis is concerned with regulatory mechanisms, present in biological systems, where some specific variable is kept close to a set value as some external disturbance affects t…
Homeostasis in Gene Regulatory Networks
Fernando Antoneli, Martin Golubitsky, Jiaxin Jin +1
In this paper, we use the framework of infinitesimal homeostasis to study general design principles for the occurrence of homeostasis in gene regulatory networks. We assume that th…
Homeostasis Patterns
William Duncan, Fernando Antoneli, Janet Best +5
Homeostasis is a regulatory mechanism that keeps a specific variable close to a set value as other variables fluctuate. The notion of homeostasis can be rigorously formulated when…
Stable Synchronous Propagation of Signals by Feedforward Networks
Ian Stewart, David Wood
We analyse the dynamics of networks in which a central pattern generator (CPG) transmits signals along one or more feedforward chains in a synchronous or phase-synchronous manner.…
Breaking indecision in multi-agent, multi-option dynamics
Alessio Franci, Martin Golubitsky, Ian Stewart +2
How does a group of agents break indecision when deciding about options with qualities that are hard to distinguish? Biological and artificial multi-agent systems, from honeybees a…
Overdetermined ODEs and Rigid Periodic States in Network Dynamics
Ian Stewart
We consider four long-standing Rigidity Conjectures about synchrony and phase patterns for hyperbolic periodic orbits of admissible ODEs for networks. Proofs of stronger local vers…
Balanced Colorings and Bifurcations in Rivalry and Opinion Networks
Ian Stewart
Balanced colorings of networks classify robust synchrony patterns -- those that are defined by subspaces that are flow-invariant for all admissible ODEs. In symmetric networks the…