Chaotic dynamics and orbit stability in the parabolic oval billiard (CROSBI ID 94211)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Lopac, Vjera ; Mrkonjić, Ivana ; Radić, Danko
engleski
Chaotic dynamics and orbit stability in the parabolic oval billiard
Chaotic properties of the one-parameter family of oval billiards with parabolic boundaries are investigated. Classical dynamics of such billiard is mixed and depends sensitively on the value of the shape parameter. Deviation matrices of some low period orbits are analyzed. Special attention is paid to the stability of orbits bouncing at the singular joining points of the parabolic arcs, where the boundary curvature is discontinuous. The existence of such orbits is connected with the segmentation of the phase space into two or more chaotic components. The obtained results are illustrated by numerical calculations of the Poincare sections and compared with the properties of the elliptical stadium billiards.
chaotic dynamics ; orbit stability ; billiard
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Podaci o izdanju
66 (3)
2002.
036202
5
objavljeno
1539-3755
1550-2376
10.1103/PhysRevE.66.036202