Andronov-Hopf bifurcation with and without parameter in a cubic memristor oscillator with a line of equilibria

Autor:	Korneev, Ivan A., Semenov, Vladimir V.
Rok vydání:	2017
Předmět:	Nonlinear Sciences - Adaptation and Self-Organizing Systems
Druh dokumentu:	Working Paper
DOI:	10.1063/1.4996401
Popis:	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 bifurcational analysis. It is shown that 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. Comment: 3 figures. arXiv admin note: substantial text overlap with arXiv:1705.06301
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1707.05676 Zobrazit plný text záznamu View this record from Arxiv