Background compensation revisited: Conserved phase response curves in frequency controlled homeostats with coherent feedback
Peter Ruoff, Jae Kyoung Kim, Jae Kyoung Kim, Jae Kyoung Kim
TL;DR
The paper explores how systems can maintain stable responses to changes despite constant background signals, using oscillators with feedback mechanisms.
Contribution
The study introduces a new perspective on background compensation through phase response curves in frequency-controlled oscillators.
Findings
Frequency resetting amplitude in oscillators depends on inflow/outflow perturbations and is phase-dependent.
Phase response curves and frequency resetting are background compensated.
This mechanism may help organisms ignore ambient noise.
Abstract
Background compensation is the ability of a controlled variable to respond to an applied perturbation in an unchanged manner and independent of different but constant background signals which act in parallel to the perturbation. Background compensation occurs by ‘coherent feedback’ mechanisms where additional control variables feed directly back to the controlled variable. This paper extends a previous study on background compensation to include phase responses in frequency controlled coherent feedback oscillators. While the frequency resetting amplitude in coherent feedback oscillators is found to be dependent on the inflow/outflow perturbation of the controlled variable and thereby become phase dependent, the frequency resetting itself and the corresponding phase response curves are found to be background compensated. It is speculated that this type of background compensation may be…
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Taxonomy
Topicsstochastic dynamics and bifurcation · Diffusion and Search Dynamics · Nonlinear Dynamics and Pattern Formation