Abstract.
This paper concerns the rotation number for a random family of linear non-autonomous Hamiltonian systems. Several definitions corresponding to its analytic and geometrical approaches are presented, and some of its main properties are studied, as its continuity and its relation with the presence of exponential dichotomy.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Received: May 2, 2001; revised: September 26, 2001
Rights and permissions
About this article
Cite this article
Fabbri, R., Johnson, R. & Núñez, C. Rotation number for non-autonomous linear Hamiltonian systems I: Basic properties. Z. angew. Math. Phys. 54, 484–502 (2003). https://doi.org/10.1007/s00033-003-1068-1
Issue Date:
DOI: https://doi.org/10.1007/s00033-003-1068-1