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arXiv · 1707.05676

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

Ivan A. Korneev·Vladimir V. Semenov
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Abstract

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.

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Ivan A. Korneev, Vladimir V. Semenov. 2017-07-16. Andronov-Hopf bifurcation with and without parameter in a cubic memristor oscillator with a line of equilibria. https://doi.org/10.1063/1.4996401

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