The existence of periodic orbits on the sphere

DOI10.3836/tjm/1270151732zbMath0567.58021OpenAlexW1989555126MaRDI QIDQ1059916

Kiyoshi Hayashi

Publication date: 1984

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270151732

zbMATH Keywords

Lagrangian systemsmini-max principle with involutionperiodic orbit on \(S^{2n-1}\)rotationally symmetric Lagrangian systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)