Citation
Elaskar, Sergio and Sánchez Arriaga, Gonzalo and Sanmartín Losada, Juan Ramón
(2006).
Chaos in non lineal Alfven waves using the DNLS equations.
In: "International Symposium on Electrohydrodynamics", 4 - 6 Dec 2006, Buenos Aires.
Abstract
The electro-dynamical tethers emit waves in structured denominated Alfven wings. The Derivative Nonlineal
Schrödinger Equation (DNLS) possesses the capacity to
describe the propagation of circularly polarized Alfven waves of finite amplitude in cold plasmas. The DNLS equation is truncated to explore the coherent, weakly nonlinear, cubic coupling of three waves near resonance, one wave being linearly unstable and the other waves damped. In this article is presented a theoretical and numerical analysis when the growth rate of the unstable wave is next to zero considering two damping models: Landau and resistive. The DNLS equation presents a chaotic dynamics when is consider only three wave truncation. The evolution to chaos possesses three routes: hard transition, period-doubling and intermittence of type I.