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Fig. 2. Dynamics of homing using (A) Eqn 3 and (B) Eqn 4. The horizontal axis shows
the animal's orientation, 
; the vertical axis shows the animal's rate
of turn d/dt, where (x,y) is the geocentric
rectangular home vector (HV) and (r,
) is the geocentric polar
HV (see Fig. 1). This example
shows the case where (A) x>0, y=2x and, in
equivalence, (B) =tan–12=1.107. Both schemes lead to
one stable and one unstable equilibrium heading with the same respective
values.
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