TY - JOUR
T1 - Crisis in chaotic scattering
AU - Lai, Ying Cheng
AU - Grebogi, Celso
AU - Blümel, Reinhold
AU - Kan, Ittai
PY - 1993
Y1 - 1993
N2 - We show that in a chaotic scattering system the stable and unstable foliations of isolated chaotic invariant sets can become heteroclinically tangent to each other at an uncountably infinite number of parameter values. The first tangency, which is a crisis in chaotic scattering, provides the link between the chaotic sets. A striking consequence is that the fractal dimension of the set of singularities in the scattering function increases in the parameter range determined by the first and the last tangencies. This leads to a proliferation of singularities in the scattering function and, consequently, to an enhancement of chaotic scattering.
AB - We show that in a chaotic scattering system the stable and unstable foliations of isolated chaotic invariant sets can become heteroclinically tangent to each other at an uncountably infinite number of parameter values. The first tangency, which is a crisis in chaotic scattering, provides the link between the chaotic sets. A striking consequence is that the fractal dimension of the set of singularities in the scattering function increases in the parameter range determined by the first and the last tangencies. This leads to a proliferation of singularities in the scattering function and, consequently, to an enhancement of chaotic scattering.
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U2 - 10.1103/PhysRevLett.71.2212
DO - 10.1103/PhysRevLett.71.2212
M3 - Article
AN - SCOPUS:4243190531
SN - 0031-9007
VL - 71
SP - 2212
EP - 2215
JO - Physical Review Letters
JF - Physical Review Letters
IS - 14
ER -