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Steady States

  The steady states are found by setting tex2html_wrap_inline15423 :

eqnarray5158

These equations have two equilibrium solutions. The first, which we label a, occurs at

displaymath5160

The second, which we label b, occurs at

displaymath5164

The location in the phase plane of these equilibrium points is shown in Figure 4.17.

The motion in the vicinity of each equilibrium point is analyzed by finding the eigenvalues tex2html_wrap_inline11903 and eigenvectors tex2html_wrap_inline15431 ,

  equation5168

of the derivative matrix of tex2html_wrap_inline14571 , tex2html_wrap_inline15435 , at each fixed point of the flow. At the point a we find

displaymath5174



Nicholas B. Tufillaro
Mon Mar 3 01:58:02 PST 1997