Orbit of a point in Dynamical Systems

Authors

  • Babu Lal Department of Applied Sciences, JCDM College of Engineering, Barnala Road, Sirsa (formerly HOD Department of Applied Sciences, JCDM COE, Sirsa)
  • Aseem Miglani Registrar and Chairperson, Department of Mathematics, CDLU, Sirsa
  • Vinod Kumar Visiting Professor, centre for advanced study in Mathematics, P.U. Chandigarh (formerly HOD Mathematics, K.U. Kurukshetra)

DOI:

https://doi.org/10.15415/mjis.2016.42012

Keywords:

Orbit, Eventually periodic point, Monoid, Dynamical system, Transitive, Weakly mixing

Abstract

In this paper, we have proved the necessary and sufficient condition for a weakly mixing and topologically mixing function. Some properties of the monoid, periodic points and eventually periodic points are obtained. Some relations between weakly mixing, transitive and topologically mixing functions are obtained. Some results of considerable importance about the orbit of a point and relation with eventually periodic point are proved. Some results of the set theory that play an important role in our studies are included. Some new terms like singly transitive and lately transitive are introduced.

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References

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Published

2016-03-30

How to Cite

Babu Lal, Aseem Miglani, and Vinod Kumar. 2016. “Orbit of a Point in Dynamical Systems”. Mathematical Journal of Interdisciplinary Sciences 4 (2):141-49. https://doi.org/10.15415/mjis.2016.42012.

Issue

Vol. 4 No. 2 (2016)

Section

Articles

License

 

Articles in Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.) by Chitkara University Publications are Open Access articles that are published with licensed under a Creative Commons Attribution- CC-BY 4.0 International License. Based on a work at https://mjis.chitkara.edu.in. This license permits one to use, remix, tweak and reproduction in any medium, even commercially provided one give credit for the original creation.

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Creative Commons License Mathematical Journal of Interdisciplinary Sciences by Chitkara University Publications is licensed under a Creative Commons Attribution 4.0 International License. Based on a work at https://mjis.chitkara.edu.in
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