Manifestations of chaos in billiards: the role of mixed curvature
Manifestations of chaos in billiards: the role of mixed curvature
The boundary of a billiard system dictates its dynamics, which can be integrable, mixed, or fully chaotic. Despite the significant implications of chaotic billiard systems with mixed curvatures, those whose boundaries feature both positive and negative curvature remain relatively under-explored. This study introduces two such billiards: a bean-shaped billiard and …