Abstract
<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p>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.</p></div></div></div><pre><!--EndFragment--></pre><pre><!--EndFragment--></pre></div></div></div>
Publisher
Universitat Politecnica de Valencia
Reference8 articles.
1. K. Ali Akbar, Some results in linear, symbolic, and general topological dynamics, Ph. D. Thesis, University of Hyderabad (2010).
2. K. Ali Akbar, V. Kannan and I. Subramania Pillai, Simple dynamical systems, Applied General Topology 2, no. 2 (2019), 307-324. https://doi.org/10.4995/agt.2019.7910
3. A. Brown and C. Pearcy, An introduction to analysis (Graduate Texts in Mathematics), Springer-Verlag, New York, 1995. https://doi.org/10.1007/978-1-4612-0787-0
4. R. A. Holmgren, A first course in discrete dynamical systems, Springer-Verlag, NewYork, 1996. https://doi.org/10.1007/978-1-4419-8732-7
5. S. Patinkin, Transitivity implies period 6, preprint.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. 15 Order types in 36 packages;Indian Journal of Pure and Applied Mathematics;2024-02-02
2. Which cycles force uncountably many orbit-types?;Topology and its Applications;2024-01