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/

Zendy Pro

Presents the zaia usage as premium feature

ZAIA

Presents AI Discovery search usage as a premium feature

AI Discovery

Presents AI Discovery explain and summary usage as a premium feature

Content Analysis

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Presents the pdf analysis as premium feature

PDF Analysis

1500 Top-up

3000 Top-up

Zendy Basic

2500 Top-up

Zendy Unlimited

Presents the access of premium content as premium feature

Premium Content

In this work we study the problem of positiveness of topological entropy forflows using pointwise dynamics. We show that the existence of a non-periodicnonwandering point of an expansive and non-singular flow with shadowing is asufficient condition to to obtain positive topological entropy. Moreover, wecan deal with flows with singularities, showing that the existence of anon-wandering, non-critical, strongly-shadowable, and uniform-expansive pointimplies the existence of a symbolic subshift. Finally, we discuss pointwiseversions of some shadowing-type properties.

On The Entropy of Continuous Flows With Uniformly Expansive Points and The Globalness of Shadowable Points With Gaps