The class of simple dynamics systems


  • Kamaludheen Ali Akbar Central University of Kerala



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


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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Author Biography

Kamaludheen Ali Akbar, Central University of Kerala

Assistant Professor

Department of Mathematics


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How to Cite

K. Ali Akbar, “The class of simple dynamics systems”, Appl. Gen. Topol., vol. 21, no. 2, pp. 215–233, Oct. 2020.



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