波振荡器的超导合:具有多卷轴的同质和异质极端多稳定性
T Fonzin Fozin1, A R Tchamda2, G Sivaganesh3
1Department of Electrical and Electronic Engineering, Faculty of Engineering and Technology (FET), University of Buea, P.O. Box 63, Buea, Cameroon.
Chaos (Woodbury, N.Y.)
|January 29, 2024
概括
这项研究表明,在合的共振振荡器中,同质和异质的多卷轴具有极端的多稳定性. 最初的条件控制了卷轴的数量,展示了复杂的系统动态.
科学领域:
- 非线性动力学是一种非线性动力学.
- 复杂系统科学 复杂系统科学
- 电路理论 电路理论
背景情况:
- 多稳定性,即多个稳定状态的共存,对于理解系统的弹性和适应性至关重要.
- 同质的多态稳定性涉及类似的稳定状态,而异质的多态稳定性则具有不同的稳定状态.
- 在固有电路中生成复杂的多滚动吸引器仍然是一个挑战.
研究的目的:
- 通过同质和异质的多卷轴来研究极端的多稳定性动态.
- 探索两个合的共振振荡器中的现象,使用一个移动的约瑟夫森连接.
- 分析系统参数和初始条件在生成复杂动态中的作用.
主要方法:
- 均衡点的分析可以识别隐藏的和自我激发的吸引力.
- 利用分叉图,利亚普诺夫指数和相位图进行动态分析.
- 用于实验验证的微控制器实现.
主要成果:
- 证明了多个卷轴的同质和异质极端多元稳定性.
- 通过调整初始条件来展示对卷轴数量的控制.
- 使用有限时间的利亚普诺夫指数观察并证实了多元稳定性.
结论:
- 合的共振振荡器系统显示可控制的极端多稳定性和多滚动吸引器.
- 最初的条件是操纵卷轴数量和系统复杂性的关键.
- 数字发现通过微控制器实现验证,确认系统行为.
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