English

Comment on "Asymptotic Phase for Stochastic Oscillators"

Chaotic Dynamics 2015-04-08 v1

Abstract

In his Comment [arXiv:1501.02126 (2015)] on our recent paper [Phys. Rev. Lett., v. 113, 254101 (2014)], Pikovsky compares two methods for defining the "phase" of a stochastic oscillator. We reply to his Comment by showing that neither method can unambiguously identify a unique system of isochrons, when multiple oscillations coexist in the same system.

Keywords

Cite

@article{arxiv.1504.01376,
  title  = {Comment on "Asymptotic Phase for Stochastic Oscillators"},
  author = {Peter J. Thomas and Benjamin Lindner},
  journal= {arXiv preprint arXiv:1504.01376},
  year   = {2015}
}

Comments

1.5 pages, 1 figure. Reply to arXiv:1501.02126v2

R2 v1 2026-06-22T09:11:01.869Z