Minimal brake orbits of first-order convex Hamiltonian systems with anisotropic growth

DOI10.1007/s42985-021-00104-9zbMath1476.34104OpenAlexW3174505950WikidataQ114216500 ScholiaQ114216500MaRDI QIDQ825587

Xiao-Fei Zhang, Chun-gen Liu

Publication date: 17 December 2021

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-021-00104-9

zbMATH Keywords

Hamiltonian systemdual variational principlebrake orbitanisotropic growthminimal 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) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items

Brake orbits with minimal period estimates of first-order variant subquadratic Hamiltonian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Brake subharmonic solutions of subquadratic Hamiltonian systems
• Multiplicity of subharmonic solutions and periodic solutions of a particular type of super-quadratic Hamiltonian systems
• Symmetric period solutions with prescribed minimal period for even autonomous semipositive Hamiltonian systems
• Minimal period problems for brake orbits of nonlinear autonomous reversible 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
• Brake subharmonic solutions of first order Hamiltonian systems
• Periodic solutions of superquadratic Hamiltonian systems
• Existence of periodic solutions of a particular type of super-quadratic Hamiltonian systems
• The study of minimal period estimates for brake orbits of autonomous subquadratic Hamiltonian systems
• Multiplicity of Lagrangian orbits on symmetric star-shaped hypersurfaces
• Asymptotically linear Hamiltonian systems with Lagrangian boundary conditions
• Minimal period estimates for brake orbits of nonlinear symmetric Hamiltonian systems
• Multiplicity of characteristics with Lagrangian boundary values on symmetric star-shaped hypersurfaces
• Nontrivial solutions of superquadratic Hamiltonian systems with Lagrangian boundary conditions and the \(L\)-index theory
• Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems
• An index theory and existence of multiple brake orbits for star-shaped 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
• Minimal periodic solutions of first-order convex Hamiltonian systems with anisotropic growth
• Periodic solutions of Hamiltonian systems with anisotropic growth
• Stability of subharmonic solutions of first-order Hamiltonian systems with anisotropic growth
• Subharmonic solutions and minimal periodic solutions of first-order variant subquadratic Hamiltonian systems
• Brake orbits of first order convex Hamiltonian systems with particular anisotropic growth
• Iteration theory of \(L\)-index and multiplicity of brake orbits
• Multiple brake orbits in bounded convex symmetric domains
• Seifert Conjecture in the Even Convex Case
• 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
• A note on the existence of multiple brake orbits
• The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems
• Minimal period solutions of nonlinear hamiltonian systems
• Maslov-Type Index Theory For Symplectic Paths With Lagrangian Boundary Conditions