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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We describe a recipe to generate "nonlocal" constants of motion for ODELagrangian systems. As a sample application, we recall a nonlocal constant ofmotion for dissipative mechanical systems, from which we can deduce globalexistence and estimates of solutions under fairly general assumptions. Then wereview a generalization to Euler-Lagrange ODEs of order higher than two,leading to first integrals for the Pais-Uhlenbeck oscillator and other systems.Future developments may include adaptations of the theory to Euler-LagrangePDEs.

Nonlocal constants of motion in Lagrangian Dynamics of any order