6533b7d5fe1ef96bd1264f98

RESEARCH PRODUCT

Correlation dimension and affinity of AE data and bicolored noise

Hannu KoskinenJussi TimonenJouni Takalo

subject

PhysicsCorrelation dimensionSeries (mathematics)ChaoticElectrojetMagnetosphereTheoretical physicsGeophysicsFractalColors of noisePhysics::Space PhysicsSubstormGeneral Earth and Planetary SciencesStatistical physics

description

This paper is concerned with the general question of the dynamics of the magnetosphere. In general, to solve the dynamics of the magnetosphere one has to solve magnetohydrodynamic equations with some appropriate set of boundary conditions. This results in a very complex solution, which gives indications of being chaotic. The question of the chaotic nature of the magnetospheric dynamics has been addressed by various authors by looking at the correlation dimension of the auroral electrojet index. There has been disagreement on the outcome of such experiments, so the authors report on a detailed analysis of the auroral electrojet index time series. They find a correlation dimension of 3.4. For comparison they have generated a bicolored noise signal, and show that it shares many of the characteristics of the auroral electrojet data. They also find that the auroral electrojet time series is self-affine in nature.

https://doi.org/10.1029/93gl01596