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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
