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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The kinetic term of the $N$-body Hamiltonian system defined on the surface ofthe sphere is non-separable. As a result, standard explicit symplecticintegrators are inapplicable. We exploit an underlying hierarchy in thestructure of the kinetic term to construct an explicit time-reversiblesymplectic scheme of second order. We use iterative applications of the methodto construct a fourth order scheme and demonstrate its efficiency.

Explicit, time-reversible and symplectic integrator for Hamiltonians in isotropic uniformly curved geometries