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 article aims to investigate the points of equilibrium and the associatedconvergence basins in a seventh-order generalized H\'enon-Heiles potential.Using the well-known Newton-Raphson iterator we numerically locate the positionof the points of equilibrium, while we also obtain their linear stability.Furthermore, we demonstrate how the two variable parameters, entering thegeneralized H\'enon-Heiles potential, affect the convergence dynamics of thesystem as well as the fractal degree of the basin diagrams. The fractal degreeis derived by computing the (boundary) basin entropy as well as the uncertaintydimension.

Fractal basins of convergence of a seventh-order generalized H\'enon-Heiles potential