A NOTE ON TOPOLOGICAL TRANSITIVITY OF THE NON-WANDERING SET AND THE CHAIN RECURRENT SET

Authors

  • Martin Shoptrajanov Ss. Cyril and Methodius University in Skopje image/svg+xml Author

DOI:

https://doi.org/10.37560/matbil22461025sh

Keywords:

trajectory, limit sets, Lyapunov function, recurrence, group, topological group, topological transitivity, non-wandering set, chain recurrent set

Abstract

In this paper we shall use the fundamental theorem of dynamical systems to improve some of the results from [5] concerning topological transitivity of the non-wandering set \(\Omega(\varphi)\) and the chain recurrent set \(\mathcal{CR}(\varphi)\) in compact metric spaces.

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Published

2022-04-26

Issue

Vol. 46 No. 1 (2022): 46 (LXXII) 1 (2022)

Section

Articles

License

Copyright (c) 2022 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
M. Shoptrajanov, “A NOTE ON TOPOLOGICAL TRANSITIVITY OF THE NON-WANDERING SET AND THE CHAIN RECURRENT SET”, Mat. Bilt., vol. 46, no. 1, pp. 25–32, Apr. 2022, doi: 10.37560/matbil22461025sh.