Department of Physics, Saratov State University, Astakhanskaya str. 83, 410012 Saratov, Russia.
Chaos. 2017 Aug;27(8):081104. doi: 10.1063/1.4996401.
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.
研究了基于忆阻器的具有三次非线性的振荡器模型。所考虑的系统具有无穷多个平衡点，这些平衡点在相空间中构成一条平衡线。通过数值建模与分岔分析相结合的方法，研究了系统的动力学特性。研究结果表明，这种超临界的 Andronov-Hopf 分岔的激发具有独特的特征，既可以通过改变参数值，也可以通过改变初始条件来实现。因此，所考虑的分岔被称为有参数和无参数的 Andronov-Hopf 分岔。
