English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

We consider the problem of characterizing, for certain natural number $m$,the local $\mathcal{C}^m$-non-integrability near elliptic fixed points ofsmooth planar measure preserving maps. Our criterion relates thisnon-integrability with the existence of some Lie Symmetries associated to themaps, together with the study of the finiteness of its periodic points. One ofthe steps in the proof uses the regularity of the period function on the wholeperiod annulus for non-degenerate centers, question that we believe that isinteresting by itself. The obtained criterion can be applied to prove the localnon-integrability of the Cohen map and of several rational maps coming fromsecond order difference equations.

Non-integrability of measure preserving maps via Lie symmetries