MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
DENSE SET OF LARGE PERIODIC POINTS AND CHAOTIC GROUP ACTIONS
V. P. Padmapriya, K. Ali Akbar

Abstract

In this paper it is proved that a chaotic group action has a dense set of large periodic points. A counterexample shows that the converse doesn't hold. Furthermore, some interesting results about the topological transitivity of group actions are discussed.

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Keywords: Chaotic group actions; transitivity; periodic points; periodic orbit; dense set of large periodic points.

MSC: 37B05, 37B02

DOI: 10.57016/MV-aIuL4467

Pages:  221--226     

Volume  77 ,  Issue  3 ,  2025