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/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper we are concerned with the integrability of the fifth Painleve equation ( ) from the point of view of the Ham iltonian dynamics. We prove that the Painleve equation (2) with parameters for arbitrary complex V P V 0 =0 , =      (and more generally with parameters related by Baclund transformations) is non integrable by means of meromorphic first integrals. We explicitly compute formal and analytic invariants of the second variational equations which generate topologically the differential Galois group. In this way our calculations and Ziglin-Ramis-Morales-Ruiz-Simo method yield to the non-integrable results.

Non-Integrability of Painlev&#233; V Equations in the Liouville Sense and Stokes Phenomenon

Non-Integrability of Painlevé V Equations in the Liouville Sense and Stokes Phenomenon