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 discuss topological equicontinuity and even continuity in dynamicalsystems. In doing so we provide a classification of topologically transitivedynamical systems in terms of equicontinuity pairs, give a generalisation ofthe Auslander-Yorke Dichotomy for minimal systems and show there exists atransitive system with an even continuity pair but no equicontinuity point. Wedefine what it means for a system to be eventually sensitive; we give adichotomy for transitive dynamical systems in relation to eventual sensitivity.Along the way we define a property called splitting and discuss its relation tosome existing notions of chaos.

Equicontinuity, Transitivity and Sensitivity: the Auslander-Yorke Dichotomy Revisited