反向纽豪斯-鲁埃尔-塔肯斯路线到混乱和时间依赖的哈密尔顿式的一般化Muthuswamy-Chua系统的制定
Bharathwaj Muthuswamy1, Jean-Marc Ginoux2, Roberto Concas3
1NERD, Inc. (Nonlinear Engineering Research and Development), San Jose, California 95121, USA.
Chaos (Woodbury, N.Y.)
|January 21, 2026
概括
这项研究将Muthuswamy-Chua系统概括为模拟记忆性振荡器. 它揭示了新的混乱动态,并使用SPICE模拟验证了一个新的记忆式波器模型.
科学领域:
- 非线性动力学是一种非线性动力学.
- 混沌理论 混沌理论
- 记忆系统 记忆系统
背景情况:
- 穆图斯瓦米-丘亚系统是非线性动态学的一个基本模型.
- 记忆系统提供了独特的歇斯底里行为,对于先进的电路设计至关重要.
- 了解振荡器中的混乱现象是开发复杂系统的关键.
研究的目的:
- 通过结合记忆元素来概括Muthuswamy-Chua系统.
- 分析由此产生的混乱动态和分支路线.
- 开发和验证一种新的记忆式波器模型.
主要方法:
- 对一般化穆图斯瓦米-丘亚系统的数学分析.
- 数字模拟包括分叉图和Lyapunov特征指数.
- 使用SPICE (注重集成电路的模拟程序) 模拟的电路分析和验证.
主要成果:
- 开发了一个通用的Muthuswamy-Chua系统,能够嵌入记忆/歇斯底里行为.
- 分叉分析揭示了导致混乱的路线,包括体分解和同临床混乱 (Newhouse-Ruelle-Takens场景).
- 提出了一种新的记忆式波器模型,并通过SPICE模拟进行实验验证.
结论:
- 一般化系统为研究记忆性振荡器提供了一个新的框架.
- 这项工作展示了一种新的记忆方法来建模与有限浴相互作用的波器.
- 这项研究为探索记忆电路中的复杂动力学开辟了道路.
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