On purely nonlinear oscillators generalizing an isotonic potential

A. Ghose-Choudhury, Aritra Ghosh, Partha Guha, Ankan Pandey

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

(1) We consider a nonlinear generalization of the isotonic oscillator with an asymmetric potential. (2) Using a symmetrization principle we construct a symmetric potential. (3) The period function in this potential has the same value as in the original asymmetric potential. (4) It is amplitude dependent and expressible in terms of the hypergeometric function.

Original languageBritish English
Pages (from-to)55-59
Number of pages5
JournalInternational Journal of Non-Linear Mechanics
Volume106
DOIs
StatePublished - Nov 2018

Keywords

  • Ateb function
  • Euler beta function
  • Isotonic system
  • Purely nonlinear oscillators

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