Re. Decarvalho, OVERLAP OF ISOCHRONE RESONANCES - CHAOS AND REFRACTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(3), 1997, pp. 3781-3784
We consider the two nonconcentric circles billiard, with the inner cir
cle as a refringent medium, in order to study the classical dynamics o
f a light ray. The eccentricity controls the chaotic sea intensity and
the refraction index acts on the integrable portion of the phase spac
e, prompting the appearance and overlapping of isochrone resonances. N
umerical results are presented and discussed.