STRANGE ATTRACTOR OF THE MODULATED STOKES WAVE - A UNIVERSAL FORM

Abstract

This Rapid Communication argues that the strange attractor recently found in the context of the modulated Stokes wave [H. T. Moon, Phys. Fluids A 3, 2709 (1991)] is a universal form and indeed the asymmetric counterpart of the Lorentz attractor. Furthermore, this form appears to reveal another class of universality in that it follows the evolution pattern set by the tent map. This is in marked contrast to the Rossler attractor, which follows the universal sequence of the logistic map.