110
4 Chaotic Scattering
Fig. 4.7 Symbolic form of
the ternary horseshoe up to
level three
A B C
A
A
B
B
C
A
B
C
A
B
C
C
C B A A B C C B A A B C C B A A B C C B A A B C
Fig. 4.8 Symbol tree for the complete ternary horseshoe up to level three
4.3 Scattering Chaos in a Magnetic Dipole
As we have seen in the previous section, there is a direct relation between the
homoclinic orbits in a chaotic reaction region and the fractal structure of the delay
time. Jung and Scholz (1988) have analyzed this relationship between chaotic
structure and delay times for the case of scattering off of a magnetic dipole. We
describe some of their results here.
The motion of a particle with mass m and electric charge e in the field of a
magnetic dipole is governed by the Hamiltonian
4 Chaotic Scattering
Fig. 4.7 Symbolic form of
the ternary horseshoe up to
level three
A B C
A
A
B
B
C
A
B
C
A
B
C
C
C B A A B C C B A A B C C B A A B C C B A A B C
Fig. 4.8 Symbol tree for the complete ternary horseshoe up to level three
4.3 Scattering Chaos in a Magnetic Dipole
As we have seen in the previous section, there is a direct relation between the
homoclinic orbits in a chaotic reaction region and the fractal structure of the delay
time. Jung and Scholz (1988) have analyzed this relationship between chaotic
structure and delay times for the case of scattering off of a magnetic dipole. We
describe some of their results here.
The motion of a particle with mass m and electric charge e in the field of a
magnetic dipole is governed by the Hamiltonian