Physical Review E · 2008 · 15 citations · 9 references
Natural SciencesPhysicsDynamical SystemsFluid DynamicsPlasma PhysicsChaos TheoryMagnetized PlasmaMagnetohydrodynamicsNonlinear Plasma DynamicsPlasma ConfinementPlasma WavesChaos In Plasma SystemsChaotic DynamicsConvectionElectron DensityElectron Density ProfilesPlasma ConvectionToroidal Magnetic Fields
In a toroidal plasma confined by a purely toroidal magnetic field with a weak vertical field superimposed a system of convection cells are generated spontaneously, interacting with a background electron density gradient. The dynamics of this interaction is low-dimensional, chaotic, and consistent with solutions of the Lorenz equations in the diffusionless limit.
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Deterministic Nonperiodic Flow
Edward N. Lorenz · Journal of the Atmospheric Sciences · 1963 · 19.3K citations · Full text
Recurrence plots for the analysis of complex systems
Norbert Marwan, M. Carmen Romano, Marko Thiel et al. · Physics Reports · 2007 · 3.8K citations · Full text
Dynamical Systems and Turbulence
Floris Takens · Medical Entomology and Zoology · 1981 · 2.1K citations