Outer billiards (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Outer billiards" in English language version.

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arxiv.org

Boyland, Philip (1996). "Dual billiards, twist maps, and impact oscillators". Nonlinearity. 9 (6): 1411–1438. arXiv:math/9408216. Bibcode:1996Nonli...9.1411B. doi:10.1088/0951-7715/9/6/002. S2CID 18709638.
Schwartz, Richard E. (2007). "unbounded orbits for outer billiards I". Journal of Modern Dynamics. 1 (3): 371–424. arXiv:math/0702073. Bibcode:2007math......2073S. doi:10.3934/jmd.2007.1.371. S2CID 119146537.
Tabachnikov, Serge (2007). "A proof of Culter's theorem on existence of periodic orbits in polygonal outer billiards". Geometriae Dedicata. 129: 83–87. arXiv:0706.1003. Bibcode:2007arXiv0706.1003T. doi:10.1007/s10711-007-9196-y.

doi.org

Tabachnikov, Sergei (2002). "Dual Billiards in the Hyperbolic Plane". Nonlinearity. 15 (4): 1051–1072. Bibcode:2002Nonli..15.1051T. CiteSeerX 10.1.1.408.9436. doi:10.1088/0951-7715/15/4/305. S2CID 250758250.
Moser, Jürgen (1978). "Is the Solar System Stable?". Mathematical Intelligencer. 1 (2): 65–71. doi:10.1007/BF03023062.
Vivaldi, Franco; Shaidenko, Anna V. (1987). "Global Stability of a class of discontinuous billiards". Communications in Mathematical Physics. 110 (4): 625–640. Bibcode:1987CMaPh.110..625V. doi:10.1007/BF01205552. S2CID 111386812.
Gutkin, Eugene; Simanyi, Nandor (1991). "Dual polygonal billiard and necklace dynamics". Communications in Mathematical Physics. 143 (3): 431–450. Bibcode:1992CMaPh.143..431G. doi:10.1007/BF02099259. S2CID 121776396.
Boyland, Philip (1996). "Dual billiards, twist maps, and impact oscillators". Nonlinearity. 9 (6): 1411–1438. arXiv:math/9408216. Bibcode:1996Nonli...9.1411B. doi:10.1088/0951-7715/9/6/002. S2CID 18709638.
Schwartz, Richard E. (2007). "unbounded orbits for outer billiards I". Journal of Modern Dynamics. 1 (3): 371–424. arXiv:math/0702073. Bibcode:2007math......2073S. doi:10.3934/jmd.2007.1.371. S2CID 119146537.
Dolgopyat, Dmitry; Fayad, Bassam (2009). "unbounded orbits for semicircular outer billiards". Annales Henri Poincaré. 10 (2): 357–375. Bibcode:2009AnHP...10..357D. doi:10.1007/s00023-009-0409-9.
Doǧru, Filiz; Tabachnikov, Sergei (2003). "On Polygonal Dual Billiards in the Hyperbolic Plane". Regular and Chaotic Dynamics. 8 (1): 67–82. Bibcode:2003RCD.....8...67D. doi:10.1070/RD2003v008n01ABEH000226.
Doǧru, Filiz; Otten, Samuel (2011). "Sizing Up Outer Billiard Tables". American Journal of Undergraduate Research. 10: 1–8. doi:10.33697/ajur.2011.008.
Tabachnikov, Serge (2007). "A proof of Culter's theorem on existence of periodic orbits in polygonal outer billiards". Geometriae Dedicata. 129: 83–87. arXiv:0706.1003. Bibcode:2007arXiv0706.1003T. doi:10.1007/s10711-007-9196-y.

harvard.edu

ui.adsabs.harvard.edu

Tabachnikov, Sergei (2002). "Dual Billiards in the Hyperbolic Plane". Nonlinearity. 15 (4): 1051–1072. Bibcode:2002Nonli..15.1051T. CiteSeerX 10.1.1.408.9436. doi:10.1088/0951-7715/15/4/305. S2CID 250758250.
Vivaldi, Franco; Shaidenko, Anna V. (1987). "Global Stability of a class of discontinuous billiards". Communications in Mathematical Physics. 110 (4): 625–640. Bibcode:1987CMaPh.110..625V. doi:10.1007/BF01205552. S2CID 111386812.
Gutkin, Eugene; Simanyi, Nandor (1991). "Dual polygonal billiard and necklace dynamics". Communications in Mathematical Physics. 143 (3): 431–450. Bibcode:1992CMaPh.143..431G. doi:10.1007/BF02099259. S2CID 121776396.
Boyland, Philip (1996). "Dual billiards, twist maps, and impact oscillators". Nonlinearity. 9 (6): 1411–1438. arXiv:math/9408216. Bibcode:1996Nonli...9.1411B. doi:10.1088/0951-7715/9/6/002. S2CID 18709638.
Schwartz, Richard E. (2007). "unbounded orbits for outer billiards I". Journal of Modern Dynamics. 1 (3): 371–424. arXiv:math/0702073. Bibcode:2007math......2073S. doi:10.3934/jmd.2007.1.371. S2CID 119146537.
Dolgopyat, Dmitry; Fayad, Bassam (2009). "unbounded orbits for semicircular outer billiards". Annales Henri Poincaré. 10 (2): 357–375. Bibcode:2009AnHP...10..357D. doi:10.1007/s00023-009-0409-9.
Doǧru, Filiz; Tabachnikov, Sergei (2003). "On Polygonal Dual Billiards in the Hyperbolic Plane". Regular and Chaotic Dynamics. 8 (1): 67–82. Bibcode:2003RCD.....8...67D. doi:10.1070/RD2003v008n01ABEH000226.
Tabachnikov, Serge (2007). "A proof of Culter's theorem on existence of periodic orbits in polygonal outer billiards". Geometriae Dedicata. 129: 83–87. arXiv:0706.1003. Bibcode:2007arXiv0706.1003T. doi:10.1007/s10711-007-9196-y.

projecteuclid.org

Vivaldi, Franco; Shaidenko, Anna V. (1987). "Global Stability of a class of discontinuous billiards". Communications in Mathematical Physics. 110 (4): 625–640. Bibcode:1987CMaPh.110..625V. doi:10.1007/BF01205552. S2CID 111386812.
Gutkin, Eugene; Simanyi, Nandor (1991). "Dual polygonal billiard and necklace dynamics". Communications in Mathematical Physics. 143 (3): 431–450. Bibcode:1992CMaPh.143..431G. doi:10.1007/BF02099259. S2CID 121776396.

psu.edu

citeseerx.ist.psu.edu

Tabachnikov, Sergei (2002). "Dual Billiards in the Hyperbolic Plane". Nonlinearity. 15 (4): 1051–1072. Bibcode:2002Nonli..15.1051T. CiteSeerX 10.1.1.408.9436. doi:10.1088/0951-7715/15/4/305. S2CID 250758250.

etda.libraries.psu.edu

Genin, Daniel I. (2005). Regular and chaotic dynamics of outer billiards (Ph.D. Thesis). Pennsylvania State University.

semanticscholar.org

api.semanticscholar.org

Tabachnikov, Sergei (2002). "Dual Billiards in the Hyperbolic Plane". Nonlinearity. 15 (4): 1051–1072. Bibcode:2002Nonli..15.1051T. CiteSeerX 10.1.1.408.9436. doi:10.1088/0951-7715/15/4/305. S2CID 250758250.
Vivaldi, Franco; Shaidenko, Anna V. (1987). "Global Stability of a class of discontinuous billiards". Communications in Mathematical Physics. 110 (4): 625–640. Bibcode:1987CMaPh.110..625V. doi:10.1007/BF01205552. S2CID 111386812.
Gutkin, Eugene; Simanyi, Nandor (1991). "Dual polygonal billiard and necklace dynamics". Communications in Mathematical Physics. 143 (3): 431–450. Bibcode:1992CMaPh.143..431G. doi:10.1007/BF02099259. S2CID 121776396.
Boyland, Philip (1996). "Dual billiards, twist maps, and impact oscillators". Nonlinearity. 9 (6): 1411–1438. arXiv:math/9408216. Bibcode:1996Nonli...9.1411B. doi:10.1088/0951-7715/9/6/002. S2CID 18709638.
Schwartz, Richard E. (2007). "unbounded orbits for outer billiards I". Journal of Modern Dynamics. 1 (3): 371–424. arXiv:math/0702073. Bibcode:2007math......2073S. doi:10.3934/jmd.2007.1.371. S2CID 119146537.