Email this article Periodic Perturbations of a Nonconservative Center
- Authors: Bibikov Y.N.1, Savel’eva A.G.1
-
Affiliations:
- Saint Petersburg State University
- Issue: Vol 54, No 3 (2018)
- Pages: 295-299
- Section: Ordinary Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154703
- DOI: https://doi.org/10.1134/S0012266118030023
- ID: 154703
Cite item
Open Access
Access granted
Subscription Access
Abstract
Small time-periodic perturbations of an oscillator whose restoring force has a conservative as well as a dissipative component are studied. The stability of the equilibrium and the bifurcation of an invariant two-dimensional torus from the equilibrium are considered. The focus quantity and the bifurcation equation determining the stability and branching character of the equilibrium are constructed.
About the authors
Yu. N. Bibikov
Saint Petersburg State University
Author for correspondence.
Email: jy.bibikov@spbu.ru
Russian Federation, St. Petersburg, 199034
A. G. Savel’eva
Saint Petersburg State University
Email: jy.bibikov@spbu.ru
Russian Federation, St. Petersburg, 199034
Supplementary files
