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

Motivation to revisit the Conley index theory for discrete multivalueddynamical systems stems from the needs of broader real applications, inparticular in sampled dynamics or in combinatorial dynamics. The newconstruction of the index in [B. Batko and M. Mrozek, {\em SIAM J. AppliedDynamical Systems}, 15(2016), pp. 1143-1162] based on weak index pairs, underthe circumstances of the absence of index pairs caused by relaxing theisolation property, seems to be a promising step towards this direction. Thepresent paper is a direct continuation of [B. Batko and M. Mrozek, {\em SIAM J.Applied Dynamical Systems}, 15(2016), pp. 1143-1162] and concerns properties ofthe index defined therin, namely Wa\.zewski property, the additivity property,the homotopy (continuation) property and the commutativity property. We alsopresent the construction of weak index pairs in an isolating block.

Weak index pairs and the Conley index for discrete multivalued dynamical systems. Part II: properties of the index