Minimal periodic solutions of first-order convex Hamiltonian systems with anisotropic growth

DOI10.1007/s11464-018-0721-0zbMath1403.37071OpenAlexW2891059947MaRDI QIDQ1626558

Li Zuo, Chun-gen Liu, Xiao-Fei Zhang

Publication date: 27 November 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-018-0721-0

zbMATH Keywords

Hamiltonian systemminimal periodFenchel's transform

Mathematics Subject Classification ID

Hamilton's equations (70H05)

Related Items

Minimal brake orbits of first-order convex Hamiltonian systems with anisotropic growth, Brake orbits of first order convex Hamiltonian systems with particular anisotropic growth, Periodic solutions with prescribed minimal period for second order even Hamiltonian systems, Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities

Cites Work

• Unnamed Item
• Symmetric period solutions with prescribed minimal period for even autonomous semipositive Hamiltonian systems
• One generalized critical point theorem and its applications on super-quadratic Hamiltonian systems
• Subharmonic solutions and minimal periodic solutions of first-order Hamiltonian systems with anisotropic growth
• Periodic solutions of superquadratic Hamiltonian systems
• The study of minimal period estimates for brake orbits of autonomous subquadratic Hamiltonian systems
• Minimal period estimates for brake orbits of nonlinear symmetric Hamiltonian systems
• Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems
• Critical point theory and Hamiltonian systems
• Minimal period estimates of periodic solutions for superquadratic Hamiltonian systems
• The minimal period problem of classical Hamiltonian systems with even potentials
• The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems
• On the minimal period for the periodic solutions problem of nonlinear Hamiltonian systems
• Periodic solutions of Hamiltonian systems with anisotropic growth
• Periodic Solutions of Hamiltonian Systems: A Survey
• Mathematical methods of game and economic theory
• Periodic solutions of hamiltonian systems
• Hamiltonian trajectories having prescribed minimal period
• The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems
• Another Proof that Convex Functions are Locally Lipschitz
• Minimal period solutions of nonlinear hamiltonian systems