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 prove the action-angle theorem in the general context of non-commutative integrable systems on Poisson manifolds. It implies the existence of action-angle coordinates for Liouville integrable systems on Poisson manifolds, a generalization of the classical result, which is stated in the context of symplectic manifolds. The proof uses the calculus of polyvector fields, rather than differential forms, in particular, we use in the end a Poisson version of the classical Carathéodory–Jacobi–Lie theorem, which we also prove.

Action-angle Coordinates for Integrable Systems on Poisson Manifolds