Can someone give some applications of alpha limit sets and omega limit sets ?

William Obeng-Denteh @William-Obeng-Denteh

12 January 2018 1 5K Report

Knowledge of topological dynamics will be cherished.

An ω-limit set is a set that a system approaches infinitely often as time goes to positive infinity, an α-limit set is the same, but as time goes to negative infinity. Thus they are used in finite or uncountable scenarios.

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