Naslov
Chaotic dynamics and orbit stability in the parabolic oval billiard

Autori
Lopac, Vjera ; Mrkonjić, Ivana ; Radić, Danko

Izvornik
Physical review. E, Statistical, nonlinear, and soft matter physics (1539-3755) 66 (2002), 3; 036202, 5

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
chaotic dynamics ; orbit stability ; billiard

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA