记忆电阻器
霍普夫分叉
分叉
双稳态
分叉理论的生物学应用
激发
非线性系统
数学
磁滞
鞍结分岔
分段
控制理论(社会学)
平衡点
物理
数学分析
计算机科学
量子力学
人工智能
控制(管理)
作者
Ivan A. Korneev,Andrei V. Slepnev,Т. Е. Вадивасова,В. В. Семенов
出处
期刊:Chaos
[American Institute of Physics]
日期:2021-07-01
卷期号:31 (7)
被引量:4
摘要
Using numerical simulation methods and analytical approach, we demonstrate hard self-oscillation excitation in systems with infinitely many equilibrium points forming a line of equilibria in the phase space. The studied bifurcation phenomena are equivalent to the excitation scenario via the subcritical Andronov-Hopf bifurcation observed in classical self-oscillators with isolated equilibrium points. The hysteresis and bistability accompanying the discussed processes are shown and explained. The research is carried out on an example of a nonlinear memristor-based self-oscillator model. First, a simpler model including Chua's memristor with a piecewise-smooth characteristic is explored. Then the memristor characteristic is changed to a function being smooth everywhere. Finally, the action of the memristor forgetting effect is taken into consideration.
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