Symbolic sequence statistical analysis for free liquid jets

Free liquid jets are investigated here as nonlinear dynamical systems. A scalar time series corresponding to the time evolution of the jet diameter is then used to investigate the underlying dynamics in terms of reconstructed phase portraits, Poincare sections, and first-return maps. Particular attention is paid to characterizing the behavior using symbolic sequence statistics that enable different atomization regimes to be distinguished. Such statistics are first applied on theoretical maps to support the results obtained on the jet dynamics.