Chemistry Reference
In-Depth Information
3
2.5
2
1.5
1
0.5
0
0
0.5
1
1.5
2
2.5
3
θ
Figure 27.
Extremal trajectories for the Grushin model corresponding to
=
γ
+
=
2. Conjugate
and cut loci are represented in dashed line.
3
2.5
2
1.5
1
0.5
0
0
0.5
1
1.5
2
2.5
3
3.5
4
θ
Figure 28.
Extremal trajectories for
=
2
.
5 and
γ
+
=
2. The projection of the conjugate locus
is represented in dashed lines. The horizontal dashed line is the line where two trajectories intersect
with the same length. Numerical values for the parameters are taken to be
ϕ
(0)
=
π/
4,
p
r
(0)
=
0
.
5,
and
p
θ
=
2.
