The class of simple dynamics systems

Kamaludheen Ali Akbar

doi:10.4995/agt.2020.12929

The class of simple dynamics systems

Kamaludheen Ali Akbar

DOI: https://doi.org/10.4995/agt.2020.12929

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.

Keywords

special points; non-ordinary points; critical points; order conjugacy; order isomorphism; labeled digraph; dynamically independent set

Subject classification

2010 Mathematics Subject Classification

54H20; 26A21; 26A48

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References

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