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

In this paper two important aspects related to Caputo fractional-orderdiscrete variant of a class of maps defined on the complex plane, areanalytically and numerically revealed: attractors symmetry-broken induced bythe fractional-order and the sensible problem of determining the rightbifurcation diagram of discrete systems of fractional-order. It is proved thatmaps of integer order with dihedral symmetry or cycle symmetry loose theirsymmetry once they are transformed in fractional-order maps. Also, it isconjectured that, contrarily to integer-order maps, determining the bifurcationdiagrams of fractional-order maps is far from being a clarified problem. Twoexamples are considered: dihedral logistic map and cyclic logistic map.

Symmetry-breaking and bifurcation diagrams of fractional-order maps