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-
-nullclines: set of points in phase space where one derivative is zero.
-    can often be derived analytically.
-    the intersections of nullclines are even more interesting; an intersection
-    in a 2-D phase space is a fixed point (equilibria)
-
-vectors in a vector field area point in the same direction (quadrant) until a
-nullcline is crossed. the area is a "discrete region".
-
-"stable-limit cycle" is when there is a stable closed curve in phase space (as
-oopposed to, eg, a fixed point)
-
-how to find if stable vs unstable?
-
-take the jacobian, and find the eigenvalues of the jacobian at the limit point.
-if real parts are all positive, then unstable. if all negative, then stable. if
-complex eigenvalues have positive real parts, then there is a stable limit
-cycle.
-
-the 'bier_stability.m' script calculates eigenvalues numerically.
-
-PROJECT: re-write this script in julia