Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Milena Radnović"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 11 (2023)
We study dynamics of solutions in the initial value space of the sixth Painlevé equation as the independent variable approaches zero. Our main results describe the repeller set, show that the number of poles and zeroes of general solutions is unboun
Externí odkaz:
https://doaj.org/article/11f316e1dc194ad6a965b9154d023614
Autor:
Vladimir Dragović, Milena Radnović
Publikováno v:
Regular and Chaotic Dynamics. 28:14-43
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::acd8e6586ada8e24cb727d1c2b48924f
https://doi.org/10.1134/s1560354723010033
https://doi.org/10.1134/s1560354723010033
Publikováno v:
The Ramanujan Journal. 61:135-147
We study combinatorics of billiard partitions which arose recently in the description of periodic trajectories of ellipsoidal billiards in d-dimensional Euclidean and pseudo-Euclidean spaces. Such partitions uniquely codify the sets of caustics, up t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0087bb9c3d9b2803a36f755b8ef7944
https://doi.org/10.1007/s11139-020-00346-y
https://doi.org/10.1007/s11139-020-00346-y
Publikováno v:
Regular and Chaotic Dynamics. 24:464-501
We derive necessary and sufficient conditions for periodic and for elliptic periodic trajectories of billiards within an ellipse in the Minkowski plane in terms of an underlining elliptic curve. We provide several examples of periodic and elliptic pe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5bb4583c44f6914b7813637e2e7eccc
https://doi.org/10.1134/s1560354719050034
https://doi.org/10.1134/s1560354719050034
Autor:
Milena Radnović, Nalini Joshi
Publikováno v:
Transactions of the American Mathematical Society. 372:6507-6546
We study the asymptotic behavior of solutions of the fourth Painleve equation as the independent variable goes to infinity in its space of (complex) initial values, which is a generalization of phase space described by Okamoto. We show that the limit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b8c40054725c2b4a2e4c8c714325ee47
https://doi.org/10.1090/tran/7899
https://doi.org/10.1090/tran/7899
Publikováno v:
Nelineinaya Dinamika. 15:397-407
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94036d010ce6538fee8667b1fd515389
https://doi.org/10.20537/nd190401
https://doi.org/10.20537/nd190401
The aim of this work is to put together two novel concepts from the theory of integrable billiards: billiard ordered games and confocal billiard books. Billiard books appeared recently in the work of Fomenko's school, in particular of V. Vedyushkina.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::474d7cd13398e244a8a2df9cced0b24d
Autor:
Sean Gasiorek, Milena Radnović
We consider a billiard problem for compact domains bounded by confocal conics on a hyperboloid of one sheet in the Minkowski space. We show that there are two types of confocal families in such setting. Using an algebro-geometric integration techniqu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::214a32425b289b36b446f2eb58cbb14d
http://arxiv.org/abs/2008.06158
http://arxiv.org/abs/2008.06158
Autor:
Vladimir Dragović, Milena Radnović
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030569990
In this paper, we give detailed analysis and description of periodic trajectories of the billiard system within an ellipsoid in the 3-dimensional Minkowski space, taking into account all possibilities for the caustics. The conditions for periodicity
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::89a28fcb3f18140ee4b2c6bfa41cc88a
https://doi.org/10.1007/978-3-030-57000-2_8
https://doi.org/10.1007/978-3-030-57000-2_8