prikaz prve stranice dokumenta Chaotic behavior in lemon-shaped billiards with elliptical and hyperbolic boundary arcs
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Scientific paper - Original scientific paper
Chaotic behavior in lemon-shaped billiards with elliptical and hyperbolic boundary arcs
Physical Review E, 64 (2001), 1; 16214-8. https://doi.org/10.1103/PhysRevE.64.016214
Lopac, Vjera; Mrkonjić, Ivana; Radić, Danko

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Lopac, V., Mrkonjić, I. & Radić, D. (2001). Chaotic behavior in lemon-shaped billiards with elliptical and hyperbolic boundary arcs. Physical Review E, 64. (1), 16214-8. doi: 10.1103/PhysRevE.64.016214

Lopac, Vjera, et al. "Chaotic behavior in lemon-shaped billiards with elliptical and hyperbolic boundary arcs." Physical Review E, vol. 64, no. 1, 2001, pp. 16214-8. https://doi.org/10.1103/PhysRevE.64.016214

Lopac, Vjera, Ivana Mrkonjić and Danko Radić. "Chaotic behavior in lemon-shaped billiards with elliptical and hyperbolic boundary arcs." Physical Review E 64, no. 1 (2001): 16214-8. https://doi.org/10.1103/PhysRevE.64.016214

Lopac, V., Mrkonjić, I. and Radić, D. (2001) 'Chaotic behavior in lemon-shaped billiards with elliptical and hyperbolic boundary arcs', Physical Review E, 64(1), pp. 16214-8. doi: 10.1103/PhysRevE.64.016214

Lopac V, Mrkonjić I, Radić D. Chaotic behavior in lemon-shaped billiards with elliptical and hyperbolic boundary arcs. Physical Review E [Internet]. 2001 [cited 2024 November 26];64(1):16214-8. doi: 10.1103/PhysRevE.64.016214

V. Lopac, I. Mrkonjić and D. Radić, "Chaotic behavior in lemon-shaped billiards with elliptical and hyperbolic boundary arcs", Physical Review E, vol. 64, no. 1, pp. 16214-8, 2001. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:691030. [Accessed: 26 November 2024]

Metadata
Title (english)Chaotic behavior in lemon-shaped billiards with elliptical and hyperbolic boundary arcs
AuthorVjera Lopac
AuthorIvana Mrkonjić
AuthorDanko Radić
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract (english)
Chaotic properties of a new family, ellipse hyperbola billiards (EHB), of lemon-shaped two-dimensional billiards, interpolating between the square and the circle, whose boundaries consist of hyperbolic, parabolic, or elliptical segments, depending on the shape parameter δ, are investigated classically and quantally. Classical chaotic fraction is calculated and compared with the quantal level density fluctuation measures obtained by fitting the calculated level spacing sequences with the Brody, Berry-Robnik, and Berry-Robnik-Brody distributions. Stability of selected classical orbits is investigated, and for some special hyperbolic points in the Poincaré sections, the “blinking island” phenomenon is observed. Results for the EHB billiards are compared with the properties of the family of generalized power-law lemon-shaped billiards.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titlePhysical Review E
Numberingvol. 64, no. 1, pp. 16214-8
p-ISSN1539-3755
DOIhttps://doi.org/10.1103/PhysRevE.64.016214
URN:NBNurn:nbn:hr:217:691030
Publication2001
Document URLhttp://link.aps.org/doi/10.1103/PhysRevE.64.016214
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Public noteCopyright (2001) by the American Physical Society.
Created on2019-10-11 15:17:40