Dynamics of a family of orbitally continuous mappings

Abhijit Pant, R. P. Pant, Kuldeep Prakash

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The aim of the present paper is to study the dynamics of a class of orbitally continuous non-linear mappings defined on the set of real numbers and to apply the results on dynamics of functions to obtain tests of divisibility. We show that this class of mappings contains chaotic mappings. We also draw Julia sets of certain iterations related to multiple lowering mappings and employ the variations in the complexity of Julia sets to illustrate the results on the quotient and remainder. The notion of orbital continuity was introduced by Lj. B. Ciric and is an important tool in establishing existence of fixed points.

Original languageEnglish
Pages (from-to)3507-3517
Number of pages11
Issue number11
Publication statusPublished - 2017
Externally publishedYes


  • Bifurcation
  • Chaos
  • Forward asymptotic
  • Julia set
  • Multiple-lowering mapping
  • Periodic points

ASJC Scopus subject areas

  • General Mathematics


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