000 02528n a2200349#a 4500
001 39318
003 P5A
005 20221213140626.0
007 cr cuuuuuauuuu
008 190815s2017 bl por d
035 _aocm51338542
040 _aP5A
_cP5A
082 0 4 _acs
090 _acs
100 1 _aFrauenfelder, Urs.
_u(Universitat Augsburg, Germany)
_93341
245 1 0 _aSymplectic Topology and Celestial Mechanics/
_cUrs Frauenfelder.
246 3 2 _aMinicurso: Symplectic Topology and Celestial Mechanics
260 _aRio de Janeiro:
_bIMPA,
_c2017.
300 _avideo online
500 _aMinicurso - 4 aulas
505 2 _aSyllabus: - Hamiltonian Dynamics, Symplectic, Hamiltonian and Contact manifolds - Symmetries and Noether's Theorem - The Kepler Problem and its symmetries - Time-dependent transformations - The restricted three-body Problem in intertial and rotating coordinate systems - Lagrange Points - Hill's lunar Problem - The direct and retrograde periodic orbits (existence of the retrograde via shooting according to Birkhoff) - Periodic orbits of the rotating Kepler Problem - Levi-Civita and Moser Regularization of the restricted three-body Problem - Birkhoff's conjecture about existence of a disklike global surface of section bounded by the retrograde - Brouwer's fixed point theorem and existence of direct orbits - Annulus-like global surfaces of section and the Poincaré-Birkhoff theorem
650 0 4 _aMatematica.
_2larpcal
_919899
697 _aCongressos e Seminários.
_923755
700 1 _aHryniewicz, Umberto.
_u(UFRJ, Brazil)
_93345
700 1 _aSalomão, Pedro
_uIME-USP, Brazil)
_98746
856 4 _zAULA 1 - Urs Frauenfelder
_uhttps://www.youtube.com/watch?v=zPyoOQ84TG8&list=PLo4jXE-LdDTRwAyNShp1iKK0snXK0vYFG&index=2&t=0s
856 4 _zAULA 2 - Urs Frauenfelder
_uhttps://www.youtube.com/watch?v=TEpbF5A0LQc&list=PLo4jXE-LdDTRwAyNShp1iKK0snXK0vYFG&index=3&t=0s
856 4 _zAULA 3 - Umberto Hryniewicz
_uhttps://www.youtube.com/watch?v=kuwW7yjLd6c&list=PLo4jXE-LdDTRwAyNShp1iKK0snXK0vYFG&index=4&t=0s
856 4 _zAULA 4 - Pedro Salomão
_uhttps://www.youtube.com/watch?v=dvzLaatV5Io&list=PLo4jXE-LdDTRwAyNShp1iKK0snXK0vYFG&index=5&t=0s
856 4 _zEVENTO
_uhttp://semestretematico.impa.br/
942 _2ddc
_cBK
999 _aSYMPLECTIC Topology and Celestial Mechanics. Urs Frauenfelder. Rio de Janeiro: IMPA, 2017. video online. Disponível em: <https://www.youtube.com/watch?v=zPyoOQ84TG8&list=PLo4jXE-LdDTRwAyNShp1iKK0snXK0vYFG&index=2&t=0s>. Acesso em: 15 ago. 2019.
_c37857
_d37857