Analytical approach to the mean-return-time phase of isotropic stochastic oscillators

Autor:	Peter Thomas, Konstantin Holzhausen, Benjamin Lindner
Rok vydání:	2022
Předmět:	Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences Condensed Matter - Statistical Mechanics
Zdroj:	Physical Review E. 105
ISSN:	2470-0053 2470-0045
DOI:	10.1103/physreve.105.024202
Popis:	One notion of phase for stochastic oscillators is based on the mean return-time (MRT): a set of points represents a certain phase if the mean time to return from any point in this set to this set after one rotation is equal to the mean rotation period of the oscillator (irrespective of the starting point). For this so far only algorithmically defined phase, we derive here analytical expressions for the important class of isotropic stochastic oscillators. This allows us to evaluate cases from the literature explicitly and to study the behavior of the MRT phase in the limits of strong noise. We also use the same formalism to show that lines of constant return time variance (instead of constant mean return time) can be defined, and that they in general differ from the MRT-isochrons. Comment: 5 pages, 4 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9738d7d39775f0e7adf383aa90fb242f https://doi.org/10.1103/physreve.105.024202 Zobrazit plný text záznamu