A higher dimensional generalization of Bendixon\'s criterion

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Samenvatting

Conditions are given that guarantee the nonexistence of periodic orbits lying entirely in a simply connected set. The conditions are formulated in terms of matrix inequalities involving the variational equation. For systems defined in R2 the conditions are equivalent to Bendixon’s criterion. A connection with analytic estimates of the Hausdorff dimension of invariant compact sets is emphasized.
Originele taal-2Engels
Titel15th Triennial World Congress of the International Federation of Automatic Control
Plaats van productieSpain, Barcelona
Pagina's#1250-
StatusGepubliceerd - 2002

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  • Citeer dit

    Pogromski, A. Y., Leonov, G. A., & Nijmeijer, H. (2002). A higher dimensional generalization of Bendixon\'s criterion. In 15th Triennial World Congress of the International Federation of Automatic Control (blz. #1250-).