Mathematics – Dynamical Systems
Scientific paper
Dec 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004agufmsm11a1175d&link_type=abstract
American Geophysical Union, Fall Meeting 2004, abstract #SM11A-1175
Mathematics
Dynamical Systems
7819 Experimental And Mathematical Techniques, 7827 Kinetic And Mhd Theory, 7839 Nonlinear Phenomena, 7871 Waves And Instabilities
Scientific paper
Methods of understanding stability of complicated dynamical systems without the need to find a particular solution for the system date back to Riemann, Poincare, and Liapunov. These methods exploit the fact that the equations governing dynamics of many physical systems are Hamiltonian in nature, and have been successfully applied to many types of physical systems. Here, we present the general (nonlinear) stability analysis of the near-Earth magnetotail during late growth phase of substorms just prior to the onset. We use the Grad-Shafranov equilibrium constrained by the CANOPUS photometer data to obtain the configuration of the region of the magnetotail in the near-equatorial region between 5 and 30 earth radii. Then we apply Liapunov stability analysis to find a possible coincidence between the onset and the transition from stable to unstable configurations. Also, we analyze the influence of the topology of the magnetic field on the stability of the system, and we discuss a possible scenario for the onset dynamics.
Dobias Peter
Samson Jaron
Voronkov Igor
Wanliss James
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