Hard transition to chaotic dynamics in Alfvén wave fronts

JR Sanmartin, O Lopez-Rebollal, E Del Rio… - Physics of …, 2004 - pubs.aip.org
Nonlinear Alfvén-wave interactions may be present in astrophysical, space and laboratory
plasmas, with effects that range from heating to driving of current. A recent space example …

Nonlinear three-mode interaction and drift-wave turbulence in a tokamak edge plasma

AM Batista, IL Caldas, SR Lopes, RL Viana… - Physics of …, 2006 - pubs.aip.org
A three-wave interaction model with quadratic nonlinearities and linear growth/decay rates
is used to investigate the occurrence of drift-wave turbulence driven by pressure gradients in …

The truncation model of the derivative nonlinear Schrödinger equation

G Sánchez-Arriaga, T Hada, Y Nariyuki - Physics of Plasmas, 2009 - pubs.aip.org
The derivative nonlinear Schrödinger (DNLS) equation is explored using a truncation model
with three resonant traveling waves. In the conservative case, the system derives from a time …

Chaos and coherence in the conservative three-mode decay interaction

M Frichembruder, R Pakter, G Gerhardt, FB Rizzato - Physical Review E, 2000 - APS
In this work we analyze the influence of chaos on the coherence of the mismatched three-
wave interaction. Chaos starts to play a decisive role in the problem when adiabatic …

Solitons, chaos, and energy transfer in the Zakharov equations

FB Rizzato, GI De Oliveira, R Erichsen - Physical Review E, 1998 - APS
In the present paper we investigate the process of energy transfer in the Zakharov
equations. Energy is initially injected into modes with small wave vectors. When the …

Beyond the modulational approximation in the wave triplet interaction

P Iorra, S Marini, E Peter, R Pakter… - Physica A: Statistical …, 2015 - Elsevier
The present work investigates the breakdown of the traditional modulational approximation
in the three wave nonlinear interaction, the wave triplet interaction. A common way to …

Sudden transition to chaos in plasma wave interactions

O López-Rebollal, JR Sanmartın, E del Rıo - Physics of Plasmas, 1998 - pubs.aip.org
The coherent three-wave interaction, with linear growth in the higher frequency wave and
damping in the two other waves, is reconsidered; for equal dampings, the resulting three …

Chaos and energy redistribution in the nonlinear interaction of two spatio-temporal wave triplets

SR Lopes, FB Rizzato - Physica D: Nonlinear Phenomena, 1998 - Elsevier
In this paper we examine the spatio-temporal dynamics of two nonlinearly coupled wave
triplets sharing two common modes. Our basic findings are the following. When spatial …

Time dependence, chaos, and coherence in broad-band triplet interaction

GI de Oliveira, M Frichembruder, FB Rizzato - Physica D: Nonlinear …, 2002 - Elsevier
In this paper we investigate the role of chaos and nonequilibrium dynamical effects in the
interaction of three groups of waves with many modes each. This is a refined model of the …

[HTML][HTML] Triplet and beam interaction in a plasma

E Peter, S Marini, R Pakter, FB Rizzato - Physics of Plasmas, 2017 - pubs.aip.org
The interaction of three waves requires wavelength and frequency matching conditions.
Without the presence of a particle beam, if the conditions are satisfied and if the frequency of …