Chaotic dynamics and orbit stability in the parabolic oval billiard

Znanstveni rad - Izvorni znanstveni rad

• Autor: Vjera Lopac
• Autor: Ivana Mrkonjić
• Autor: Danko Radić
• Autorova ustanova: Sveučilište u Zagrebu; Prirodoslovno-matematički fakultet; (Fizički odsjek)
• Znanstveno / umjetničko područje, polje i grana: PRIRODNE ZNANOSTI; Fizika

Sažetak (engleski)

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 Poincaré sections and compared with the properties of the elliptical stadium billiards.

• Ključne riječi (engleski): chaotic dynamics; orbit stability; billiard
• Jezik: engleski
• Vrsta publikacije: Znanstveni rad - Izvorni znanstveni rad
• Status objave: Objavljen
• Vrsta recenzije: Recenziran - međunarodna recenzija
• Verzija publikacije: Objavljena verzija rada (izdavačev PDF)
• Naslov časopisa: Physical Review E
• Brojčani podaci: vol. 66, br. 3, 036202
• p-ISSN: 1539-3755
• DOI: https://doi.org/10.1103/PhysRevE.66.036202
• URN:NBN: urn:nbn:hr:217:005059
• Datum objave publikacije: 2002
• URL dokumenta: http://link.aps.org/doi/10.1103/PhysRevE.66.036202
• Vrsta resursa: Tekst
• Prava pristupa: Otvoreni pristup
• Javna napomena: Copyright (2002) by the American Physical Society.
• Datum i vrijeme pohrane: 2019-10-13 12:26:53