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http://dx.doi.org/10.14317/jami.2022.1167

CONTINUITY OF THE FRACTIONAL PART FUNCTION AND DYNAMICS OF CIRCLE  

LAL, BABU (Department of Mathematics, Choudhary Devi Lal University)
MIGLANI, ASEEM (Department of Mathematics, Choudhary Devi Lal University)
SINGH, VIZENDER (Department of Mathematics, Directorate of Distance Education, GJUS&T)
Publication Information
Journal of applied mathematics & informatics / v.40, no.5_6, 2022 , pp. 1167-1179 More about this Journal
Abstract
In this paper, we obtain some subsets of real numbers (ℝ) on which a fractional part function is defined as a real-valued continuous function. This gives rise to the analysis of the continuous properties of the fractional part function as a real-valued function. The analysis of fractional part function is helpful in the study of the dynamics of circle.
Keywords
Dynamics of circle; circle map; fractional part function; continuity;
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  • Reference
1 M. Brin and G. Stuck, Introduction to Dynamical Systems, Cambridge University Press, 2002.
2 B. Lal, A. Miglani and V. Kumar, On Dynamics of Circle Maps, Proceedings 2nd International Conference on Evolution in Science and Technology and Eyne on Educational Methodology, March 3-4, 2013, PPIMT, Hisar, 507-510.
3 S. Gadgil, Dynamics on the circle 1, Resonance 8 (2003).
4 P. Sharma and A. Nagar, On dynamics of circle maps, Far-East Journal of Dynamical Systems 10 (2008), 185-201.
5 Q. Zhang, Invertible Circle Maps, Lecture (12) notes, Dynamical System 110(421).
6 G.D. Birkhoff, Dynamical Systems, AMS Colloq. Publ., 9 1927, Collected mathematical papers, 3 1950.
7 J.R. Munkres, Topology: A First Course, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1975.
8 J.L. Kelley, General Topology, Van Nostrand, 1955.