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

In this paper, new results concerning the phenomenon of adiabatic trappinginto resonance for a class of quasi-integrable maps with a time-dependentexciter are presented and discussed in detail. The applicability of the resultsabout trapping efficiency for Hamiltonian systems to the maps considered isproven by using perturbation theory. This allows determining explicit scalinglaws for the trapping properties. These findings represent a generalization ofprevious results obtained for the case of quasi-integrable maps with parametricmodulation as well as an extension of the work by Neishtadt \textit{et al.} ona restricted class of quasi-integrable systems with time-dependent exciters.

Analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters