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Rotation number for non-autonomous linear Hamiltonian systems I: Basic properties

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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.

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Authors and Affiliations

  1. Dipartimento di Sistemi e Informatica, Università degli Studi di Firenze, Via Santa Marta 3, 50139 Firenze, Italy, e-mail: fabbri@dsi.unifi.it, johnson@ingfi1.ing.unifi.it, , , , , , IT

    R. Fabbri & R. Johnson

  2. Departamento de Matemática Aplicada a la Ingeniería, Universidad de Valladolid, Paseo del Cauce s/n, 47011 Valladolid, Spain, e-mail:carnun@wmatem.eis.uva.es, , , , , , ES

    C. Núñez

Authors
  1. R. Fabbri
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  2. R. Johnson
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  3. C. Núñez
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Received: May 2, 2001; revised: September 26, 2001

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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

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  • DOI: https://doi.org/10.1007/s00033-003-1068-1

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