INFINITELY MANY EVEN PERIODIC SOLUTIONS OF LAGRANGIAN SYSTEMS ON ANY RIEMANNIAN TORI WITH EVEN POTENTIAL IN TIME

DOI10.1142/S0219199709003375zbMath1177.58010OpenAlexW2074350880WikidataQ115245765 ScholiaQ115245765MaRDI QIDQ3636108

Ming-yan Wang, Guang-Cun Lu

Publication date: 30 June 2009

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199709003375

zbMATH Keywords

Morse indexLagrangian systemRiemannian toruseven periodic solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

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