Dynamics of a family of nonlinear mapping

Abhijit Pant, R. P. Pant

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


The aim of the present chapter is to study the dynamics of a class of non-linear mappings defined on the set of non-negative real numbers. We show that this class of mappings contains chaotic mappings and exhibits the phenomenon of bifurcation. We also generalize the scope of multiple-lowering mappings by further extending the domain of their definition from the set of non-negative real numbers to the set of polynomials over the set of real numbers.

Original languageEnglish
Title of host publicationRecent Advances in Fixed Point Theory and Applications
PublisherNova Science Publishers, Inc.
Number of pages10
ISBN (Electronic)9781536121049
ISBN (Print)9781536120851
Publication statusPublished - 1 Jan 2017
Externally publishedYes


  • Bifurcation
  • Chaos
  • Forward asymptotic
  • Multiple-lowering mapping
  • Periodic
  • Points

ASJC Scopus subject areas

  • General Mathematics


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