Andronov-Hopf bifurcation with and without parameter in a cubic memristor oscillator with a line of equilibria
Korneev
I
A
author
Semenov
V
V
author
2017
English
The model of a memristor-based oscillator with cubic nonlinearity is studied. The considered system has infinitely many equilibrium points, which build a line of equilibria in the phase space. Numerical modeling of the dynamics is combined with the bifurcational analysis. It has been shown that the oscillation excitation has distinctive features of the supercritical Andronov-Hopf bifurcation and can be achieved by changing of a parameter value as well as by variation of initial conditions. Therefore, the considered bifurcation is called Andronov-Hopf bifurcation with and without parameter.
PMID:28863496
exported from refbase (http://chaos.sgu.ru/refbase/show.php?record=164), last updated on Tue, 26 Dec 2017 09:49:59 +0300
text
http://www.ncbi.nlm.nih.gov/pubmed/28863496
http://www.ncbi.nlm.nih.gov/pubmed/28863496
10.1063/1.4996401
28863496
Korneev+Semenov2017
Chaos (Woodbury, N.Y.)
Chaos
2017
continuing
periodical
academic journal
27
8
081104 (5 pages)
1054-1500