Please use this identifier to cite or link to this item: https://open.uns.ac.rs/handle/123456789/4693
Title: Oscillators with symmetric and asymmetric quadratic nonlinearity
Authors: Cvetićanin, Livija 
Zuković, Miodrag 
Mester G.
Biro I.
Sarosi J.
Issue Date: 1-Jun-2016
Journal: Acta Mechanica
Abstract: © 2016, Springer-Verlag Wien. In this paper, oscillators with asymmetric and symmetric quadratic nonlinearity are compared. Both oscillators are modeled as ordinary second-order differential equations with strong quadratic nonlinearities: one with positive quadratic term and the second with a quadratic term which changes the sign. Solutions for both equations are obtained in the form of Jacobi elliptic functions. For the asymmetric oscillator, conditions for the periodic motion are determined, while for the symmetric oscillator a new approximate solution procedure based on averaging is developed. Obtained results are tested on an optomechanical system where the motion of a cantilever in the intracavity field is oscillatory. Two types of quadratic nonlinearities in the system are investigated: symmetric and asymmetric. The advantage and disadvantage of both models is discussed. The analytical procedure suggested in the paper is applied. The obtained solution agrees well with a numerical one.
URI: https://open.uns.ac.rs/handle/123456789/4693
ISSN: 15970
DOI: 10.1007/s00707-016-1582-9
Appears in Collections:FTN Publikacije/Publications

Show full item record

SCOPUSTM   
Citations

14
checked on Sep 14, 2022

Page view(s)

17
Last Week
5
Last month
0
checked on May 10, 2024

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.