{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T17:20:52Z","timestamp":1772817652392,"version":"3.50.1"},"reference-count":10,"publisher":"American Institute of Mathematical Sciences (AIMS)","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["DCDS"],"published-print":{"date-parts":[[2017]]},"DOI":"10.3934\/dcds.2017132","type":"journal-article","created":{"date-parts":[[2017,3,2]],"date-time":"2017-03-02T12:50:35Z","timestamp":1488459035000},"page":"3079-3109","source":"Crossref","is-referenced-by-count":1,"title":["Hyperbolic billiards on polytopes with contracting reflection laws"],"prefix":"10.3934","volume":"37","author":[{"given":"Pedro","family":"Duarte","sequence":"first","affiliation":[]},{"given":"Jos\u00e9 Pedro","family":"Gaiv\u00c3o","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica and CEMAPRE, ISEG, Universidade de Lisboa, Rua do Quelhas 6,1200-781 Lisboa, Portugal"}]},{"given":"Mohammad","family":"Soufi","sequence":"additional","affiliation":[{"name":"Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade do Estado do Rio de Janeiro, R. S\u00e3o Francisco Xavier 524,20550-900 Rio de Janeiro -RJ, Brasil"}]}],"member":"2321","reference":[{"key":"key-10.3934\/dcds.2017132-1","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/22\/7\/001"},{"key":"key-10.3934\/dcds.2017132-2","doi-asserted-by":"crossref","unstructured":"<p>A. Arroyo, R. Markarian and D. P. Sanders, Structure and evolution of strange attractors in non-elastic triangular billiards <i>Chaos<\/i> 22 (2012), 026107, 12pp.<\/p>","DOI":"10.1063\/1.4719149"},{"key":"key-10.3934\/dcds.2017132-3","doi-asserted-by":"crossref","unstructured":"<p>P. Duarte and S. Klein,  <i>Lyapunov Exponents of Linear Cocycles; Continuity Via Large Deviations<\/i> Atlantis Studies in Dynamical Systems, vol. 3, Atlantis Press, 2016.<\/p>","DOI":"10.2991\/978-94-6239-124-6"},{"key":"key-10.3934\/dcds.2017132-4","doi-asserted-by":"crossref","unstructured":"<p>G. Del Magno, J. Lopes Dias, P. Duarte, J. P. Gaiv\u00e3o and D. Pinheiro, Chaos in the square billiard with a modified reflection law <i>Chaos<\/i> 22 (2012), 026106, 11pp.<\/p>","DOI":"10.1063\/1.3701992"},{"key":"key-10.3934\/dcds.2017132-5","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-014-1960-x"},{"key":"key-10.3934\/dcds.2017132-6","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/27\/8\/1969"},{"key":"key-10.3934\/dcds.2017132-7","doi-asserted-by":"crossref","unstructured":"<p>G. Del Magno, J. Lopes Dias, P. Duarte and J. P. Gaiv\u00e3o, Hyperbolic polygonal billiards with finitely may ergodic SRB measures, to appear in <i>Ergodic Theory Dyn. Syst. <\/i> (2016), arXiv:1507.06250.<\/p>","DOI":"10.1017\/etds.2016.119"},{"key":"key-10.3934\/dcds.2017132-8","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385709000819"},{"key":"key-10.3934\/dcds.2017132-9"},{"key":"key-10.3934\/dcds.2017132-10","unstructured":"<p>S. Sternberg,  <i>Lectures on Differential Geometry<\/i> Prentice-Hall, Inc. , Englewood Cliffs, N. J. , 1964.<\/p>"}],"container-title":["Discrete and Continuous Dynamical Systems"],"original-title":[],"link":[{"URL":"http:\/\/aimsciences.org\/\/article\/doi\/10.3934\/dcds.2017132?viewType=html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T11:12:27Z","timestamp":1772795547000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.aimsciences.org\/\/article\/doi\/10.3934\/dcds.2017132"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"references-count":10,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2017]]}},"URL":"https:\/\/doi.org\/10.3934\/dcds.2017132","relation":{},"ISSN":["1078-0947","1553-5231"],"issn-type":[{"value":"1078-0947","type":"print"},{"value":"1553-5231","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017]]}}}