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

We construct different almost Poisson brackets for nonholonomic systems thanthose existing in the literature and study their reduction. Such brackets arebuilt by considering non-canonical two-forms on the cotangent bundle ofconfiguration space and then carrying out a projection onto the constraintspace that encodes the Lagrange-D'Alembert principle. We justify the need forthis type of brackets by working out the reduction of the celebrated Chaplyginsphere rolling problem. Our construction provides a geometric explanation ofthe Hamiltonization of the problem given by A. V. Borisov and I. S. Mamaev.

Reduction of Almost Poisson brackets and Hamiltonization of the Chaplygin Sphere