Proof of Poincaré's geometric theorem.

DOI10.2307/1988766zbMath44.0761.01OpenAlexW4251059151WikidataQ114589945 ScholiaQ114589945MaRDI QIDQ1477860

George David Birkhoff

Publication date: 1913

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1988766

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

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Partial barriers to chaotic transport in 4D symplectic maps ⋮ Symplectic geometry: applications and challenges ⋮ Contact geometry in the restricted threebody problem: a survey ⋮ A generalized Poincaré-Birkhoff theorem ⋮ Periodic solutions of Hamiltonian systems with symmetries ⋮ Birkhoff conjecture for nearly centrally symmetric domains ⋮ The random Arnold conjecture: a new probabilistic Conley-Zehnder theory for symplectic maps

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