title: Chaotic dynamics of coupled transverse-longitudinal plasma oscillations in magnetized plasmas.
abstract: The propagation of intense electromagnetic waves in cold magnetized plasma is tackled through a relativistic hydrodynamic approach. The analysis of coupled transverse-longitudinal plasma oscillations is performed for traveling plane waves. When these waves propagate perpendicularly to a static magnetic field, the model is describable in terms of a nonlinear dynamical system with 2 degrees of freedom. A constant of motion is obtained and the powerful classical mechanics methods can be used. A new class of solutions, i.e., the chaotic solutions, is discovered by the Poincaré surface of sections. As a result, coupled transverse-longitudinal plasma oscillations become aperiodically modulated.
authors.affiliation: Department of Engineering Physics and Mathematics, Helsinki University of Technology, P.O. Box 2200, FIN-02015 HUT, Finland. denis.teychenne@caramail.com
authors.forename: D
authors.initials: D
authors.lastname: Teychenné
authors.forename: E
authors.initials: E
authors.lastname: Bésuelle
authors.forename: A
authors.initials: A
authors.lastname: Oloumi
authors.forename: R R
authors.initials: RR
authors.lastname: Salomaa