Mean index for non-periodic orbits in Hamiltonian systems

DOI10.1007/S10114-022-0507-XOpenAlexW4210732491WikidataQ114228363 ScholiaQ114228363MaRDI QIDQ2075444

Li Wu, Xijun Hu

Publication date: 14 February 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13256

zbMATH Keywords

Fredholm operatorMaslov-type indexmean indexquasi-periodic orbit

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Lagrangian submanifolds; Maslov index (53D12) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Index and stability of symmetric periodic orbits in Hamiltonian systems with application to figure-eight orbit
• The rotation number for almost periodic potentials
• Invertibility and dichotomy of differential operators on a half-line
• The Maslov index for paths
• Index theory for heteroclinic orbits of Hamiltonian systems
• Hörmander index in finite-dimensional case
• Index theory for symplectic paths with applications
• Maslov-type index theory for symplectic paths and spectral flow. II
• Maslov-type index theory for symplectic paths and spectral flow. I
• Maslov (P, ω)-Index Theory for Symplectic Paths
• Exponential Dichotomies and Fredholm Operators
• On the maslov index
• The Spectral Flow and the Maslov Index
• Strict Ergodicity and Transformation of the Torus

This page was built for publication: Mean index for non-periodic orbits in Hamiltonian systems