Effect of a Dissipative Term in the Drift Waves Hamiltonian System

TL;DR

This paper investigates how adding a small dissipative term affects the chaotic behavior of a Hamiltonian drift wave system, revealing the emergence of periodic attractors from transient chaos.

Contribution

It introduces a dissipative component into the drift wave Hamiltonian model and analyzes its impact on system dynamics and attractor formation.

Findings

Weak dissipation leads to transient orbits converging to periodic attractors.

System behavior depends on phase velocities of the waves.

Chaotic dynamics can be suppressed by dissipation.

Abstract

This paper analyses the Hamiltonian model of drift waves which describes the chaotic transport of particles in the plasma confinement. With one drift wave the system is integrable and it presents stable orbits. When one wave is added the system may or may not be integrable depending on the phase of each wave velocity. If the two waves have the same phase velocity, the system is integrable. When the phase velocities between the two waves are different, the system shows chaotic behaviour. In this model we add a small dissipation. In the presence of a weak dissipation, for different initial conditions, we observe transient orbits which converge to periodic attractors.