Routes to chaotic scattering
Abstract
The onset of chaotic behavior in a class of classical scattering problems is shown to occur in two possible ways. One is abrupt and is related to a change in the topology of the energy surface. The other arises as a result of a complex sequence of saddlenode and period doubling bifurcations. The abrupt bifurcation represents a new generic route to chaos and yields a characteristic scaling of the frac tal dimension associated with the scattering function as [ln(E_{c}E)^{1}]^{1}, for particle energies E near the critical value E_{c} at which the scattering becomes chaotic.
 Publication:

Physical Review Letters
 Pub Date:
 August 1989
 DOI:
 10.1103/PhysRevLett.63.919
 Bibcode:
 1989PhRvL..63..919B
 Keywords:

 05.45.+b;
 03.20.+i;
 03.65.Nk;
 Scattering theory