Low-dimensional chaos and wave turbulence in plasmas

Philos Trans A Math Phys Eng Sci. 2008 Feb 28;366(1865):609-20. doi: 10.1098/rsta.2007.2113.

Abstract

We investigated drift-wave turbulence in the plasma edge of a small tokamak by considering solutions of the Hasegawa-Mima equation involving three interacting modes in Fourier space. The resulting low-dimensional dynamics presented periodic as well as chaotic evolution of the Fourier-mode amplitudes, and we performed the control of chaotic behaviour through the application of a fourth resonant wave of small amplitude.