Cuplength estimates for periodic solutions of Hamiltonian particle-field systems

DOI10.1007/s11784-022-01024-wOpenAlexW3179199483MaRDI QIDQ2693959

Oliver Fabert, Niek Lamoree

Publication date: 24 March 2023

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03989

Mathematics Subject Classification ID

Symplectic aspects of Floer homology and cohomology (53D40) Variational principles and methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K58)

Related Items (1)

Regularized polysymplectic geometry and first steps towards Floer theory for covariant field theories

Cites Work

• A non-squeezing theorem for convex symplectic images of the Hilbert ball
• Floer homology and the heat flow
• Periodic solutions of Lagrangian systems on a compact manifold
• A quantum cup-length estimate for symplectic fixed points
• Self-dual instantons and holomorphic curves
• Symplectic fixed points and holomorphic spheres
• Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE's
• Pseudo-holomorphic curves and periodic orbits on cotangent bundles
• On the Period of Periodic Motions of a Particle in a Scalar Wave Field
• Dynamics of Charged Particles and their Radiation Field
• On the Floer homology of cotangent bundles
• Periodic solutions of hamiltonian systems
• Hamiltonian Floer Theory for Nonlinear Schrödinger Equations and the Small Divisor Problem
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Cuplength estimates for periodic solutions of Hamiltonian particle-field systems