Three-wave interactions and strange attractor

TL;DR

This paper demonstrates that adding sink/source terms to the three-wave resonance model can lead to strange attractor dynamics, suggesting a link between wave turbulence and chaotic attractors within wave triads.

Contribution

It introduces a modified three-wave interaction model with sink/source terms that exhibits strange attractor behavior, highlighting a new mechanism for wave turbulence transition.

Findings

Wave amplitudes can exhibit strange attractor dynamics.

Transition to turbulence may involve attractor-like behavior within triads.

Model shows chaotic dynamics due to sink/source terms.

Abstract

It is shown that the incorporation of linear sink/source terms in the three-wave resonance interaction model results in the time dependence of the wave amplitudes, which could exhibit the properties of a strange attractor. This finding demonstrates that the transition to turbulent dynamics of the waves could be related not only to the coupling of wave triads but also to the establishing of the strange attractor-like dynamics within individual wave triads.