Some results on the minimal period problem on nonconvex second order Hamiltonian systems

DOI10.1142/S0252959999000126zbMath0931.37020MaRDI QIDQ1284271

Guihua Fei, Tixiang Wang

Publication date: 27 February 2000

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

periodic solutionseigenvalueMorse indexLagrangiansymmetric matrixvariationalminimal periodminimal period solutionssecond order Hamiltoniansemi-positive definite

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (4)

A note on the minimal period problem for second order Hamiltonian systems ⋮ Periodic solutions with prescribed minimal period to Hamiltonian systems ⋮ The Rabinowitz minimal periodic solution conjecture ⋮ Multiple periodic solutions with prescribed minimal period to second-order Hamiltonian systems

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