By using the same arguments presented above and the fact that infinity is a repelor, it follows by the Poincare-Bendixson Theorem that the only possible [omega]-limit for the unstable separatrix
of the saddle-node is a periodic orbit which has to surround the six saddle-nodes, see again Figure 4.
Result of the analysis is the equation of separatrix
dividing the field into areas occupied by different electric fluxes.
Next, we examine the case of separatrix
acceleration with [H.
After the shape of the plasma has been determined, Fourier series filtered to match those for the separatrix
can be selected judiciously to define an external magnetic field with robust flux surfaces adequate for an experiment.
In each case the separatrix
between German and Jewish marks the relationship as dialectical and entangles the terms, their histories, and their places of encounter within one another.
Four starting conditions were integrated for each of the 1:2, 1:1, 3:2, 2:1, and 5:2 spin-orbit resonances in order to illustrate motion inside, at the separatrix
, and on either side of each resonance.
Current drive experiments in FRCs using formation by quasi-steady rotating magnetic fields (RMF) are very different from standard theta-pinch formed FRCs, tending to have a large ratio of the plasma separatrix
to flux conserver radii, low separatrix
density, a flattened Bx profile near the field null, and a contribution to the pressure balance from B(theta).
ionospheric plasma flow through the magnetic separatrix
2, the single repeller defines the common boundary of the two basins, usually referred to as the separatrix