Do Diophantine vectors form a Cantor bouquet?

Henk Broer*

*Corresponding author for this work

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    Abstract

    We introduce the set of Diophantine vectors in R(n), which is a standard notion in KAM Theory. The problem is whether this set forms a Cantor bouquet.

    Original languageEnglish
    Pages (from-to)433-434
    Number of pages2
    JournalJournal of Difference Equations and Applications
    Volume16
    Issue number5-6
    DOIs
    Publication statusPublished - 2010

    Keywords

    • Cantor bouquet
    • Cantor set
    • resonant hyperplane
    • Diophantine vector

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