The class of simple dynamics systems
Submitted: 2020-01-02
|Accepted: 2020-05-17
|Published: 2020-10-01
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Keywords:
special points, non-ordinary points, critical points, order conjugacy, order isomorphism, labeled digraph, dynamically independent set
Supporting agencies:
UGC
Abstract:
In this paper, we study the class of simple dynamical systems on R induced by continuous maps having finitely many non-ordinary points. We characterize this class using labeled digraphs and dynamically independent sets. In fact, we classify dynamical systems up to their number of non-ordinary points. In particular, we discuss about the class of continuous maps having unique non-ordinary point, and the class of continuous maps having exactly two non-ordinary points.
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