Rotation number for non-autonomous linear Hamiltonian systems I: Basic properties
- Cite this article as:
- Fabbri, R., Johnson, R. & Núñez, C. Z. angew. Math. Phys. (2003) 54: 484. doi:10.1007/s00033-003-1068-1
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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.