Trade-off between coherence and dissipation for excitable phase oscillators

TL;DR

This paper explores how thermodynamic and dynamical bounds influence the coherence and dissipation trade-offs in excitable oscillators, such as neurons, revealing fundamental limits on their oscillatory behavior and coherence resonance.

Contribution

It demonstrates the roles of TUR and SNIC bounds in constraining fluctuations in single and coupled excitable oscillators, including the phenomenon of coherence resonance.

Findings

TUR and SNIC bounds constrain inter-spike interval fluctuations.

Coherence resonance is bounded by TUR in excitable phase models.

Coherence-dissipation relations are characterized in coupled oscillator ensembles.

Abstract

Thermodynamic uncertainty relation (TUR) bounds coherence in stochastic oscillatory systems. In this paper, we show that both dynamical and thermodynamic bounds play important roles for the excitable oscillators, e.g. neurons. Firstly, we investigate the trade-off between coherence and dissipation both in the sub and super-threshold regions for a single excitable unit, where both the TUR and the SNIC bounds constrain the fluctuation of inter-spike intervals. Secondly, we show that the widely studied phenomenon called coherence resonance, where there exists a noise strength to make the oscillatory responses of the system most coherent, is also bounded by the TUR in the one-dimensional excitable phase model. Finally, we study the coherence-dissipation relation in ensembles of strongly coupled excitable oscillators.