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

This paper discusses reduction by symmetries for autonomous andnon-autonomous forced mechanical systems with inelastic collisions. Inparticular, we introduce the notion of generalized hybrid momentum map andhybrid constants of the motion to give general conditions on whether it ispossible to perform symmetry reduction for Hamiltonian and Lagrangian systemssubject to non-conservative external forces and non-elastic impacts, as well asits extension to time-dependent mechanical systems subject to time-dependentexternal forces and time-dependent inelastic collisions. We illustrate theapplicability of the method with examples and numerical simulations.

Generalized hybrid momentum maps and reduction by symmetries of forced mechanical systems with inelastic collisions