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Korneev IA, Semenov VV. Andronov-Hopf bifurcation with and without parameter in a cubic memristor oscillator with a line of equilibria. Chaos. 2017;27(8):081104doi: 10.1063/1.4996401.
Korneev, I. A., & Semenov, V. V. (2017). Andronov-Hopf bifurcation with and without parameter in a cubic memristor oscillator with a line of equilibria. Chaos (Woodbury, N.Y.), 27(8), 081104. https://doi.org/10.1063/1.4996401
Korneev, Ivan A, and Semenov, Vladimir V. "Andronov-Hopf bifurcation with and without parameter in a cubic memristor oscillator with a line of equilibria." Chaos (Woodbury, N.Y.) vol. 27,8 (2017): 081104. doi: https://doi.org/10.1063/1.4996401
Korneev IA, Semenov VV. Andronov-Hopf bifurcation with and without parameter in a cubic memristor oscillator with a line of equilibria. Chaos. 2017 Aug;27(8):081104. doi: 10.1063/1.4996401. PMID: 28863496.
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Chaos. 2017 Aug;27(8):081104. doi: 10.1063/1.4996401.

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

Chaos (Woodbury, N.Y.)

Ivan A Korneev, Vladimir V Semenov

Affiliations

  1. Department of Physics, Saratov State University, Astakhanskaya str. 83, 410012 Saratov, Russia.

PMID: 28863496 DOI: 10.1063/1.4996401

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 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.

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