Periodic Perturbations of a Nonconservative Center

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 bifur...

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Bibliographic Details
Published in:Differential equations 2018-03, Vol.54 (3), p.295-299
Main Authors: Bibikov, Yu. N., Savel’eva, A. G.
Format: Article
Language:English
Subjects:
Bifurcations
Difference and Functional Equations
Differential equations
Dimensional stability
Equilibrium
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Periodic variations
Toruses
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Summary: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.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266118030023