Detection and analysis of synchronization routes in an axially forced globally unstable jet using recurrence quantification

TL;DR

This paper investigates how a hydrodynamic jet synchronizes with external forcing by analyzing recurrence plots, revealing distinct synchronization routes and demonstrating the effectiveness of recurrence quantification in identifying these pathways.

Contribution

The study introduces recurrence quantification analysis to identify and differentiate synchronization routes in a hydrodynamic jet under external acoustic forcing.

Findings

Recurrence analysis reveals distinct synchronization routes.

Recurrence quantities effectively detect lock-in pathways.

Different forcing parameters lead to varied synchronization behaviors.

Abstract

Quasiperiodicity, a partially synchronous state that precedes the onset of forced synchronization in hydrodynamic systems, exhibits distinct geometrical patterns based on the specific route to lock-in. In this study, we explore these dynamic behaviors using recurrence quantification analysis. Focusing on a self-excited hydrodynamic system-a low-density jet subjected to external acoustic forcing at varying frequencies and amplitudes. We generate recurrence plots from unsteady velocity time traces. These recurrence plots provide insight into the synchronization dynamics and pathways of the jet under forced conditions. Further, we show that recurrence quantities are helpful to detect and distinguish between different routes to lock-in.