Abstract
We analyze a hard-walled billiard chaotic scattering system in three spatial dimensions. Our analysis of this system tests a conjectured formula for the fractal dimension of `typical' non-attracting chaotic sets in higher-dimensional systems (e.g., time-independent, Hamiltonian systems with more than two degrees of freedom). It also shows the occurrence, in a chaotic scattering system, of a fractal basin boundary whose structure is that of a continuous, nowhere differentiable surface. A ray optical experimental realization of the billiard is suggested, and would offer the possibility of a physical realization of this basic type of basin boundary structure.
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