Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2002-06-06
J. Korean Phys. Soc. 41, pp. L283-L286 (2002)
Nonlinear Sciences
Chaotic Dynamics
4 pages (two columns), 5 figures, made some typographical and english corrections
Scientific paper
Using fractal analysis, we investigate how the size of openings affects the chaotic behavior of a classical closed billiard when two openings are made on the boundary of the billiard. This kind of open billiards retains chaotic properties of original closed billiards when openings are small compared to the size of the billiard. We calculate the fractal dimension using an one-dimensional subset of all possible initial conditions that will produce trajectories of a particle injected from an opening for the billiard, and then observe how the opening size can change the classical chaotic properties of this open billiard.
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