四阶混沌哈密顿系统的等效电路实现

J. Petrzela
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引用次数: 0

摘要

本文描述了显示所谓哈密顿动力学的四阶自治确定性系统的各种但仍然是流动等效的模拟实现。设计过程以循序渐进的方式进行描述,并辅以深入的实验测量。本工作的主要动机是证明具有状态空间体积守恒特性的数学模型可以用几个集总电子电路成功地建模;每个都有便宜的现成的组件,但仍然提供结构稳定的奇怪吸引子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Equivalent circuit realizations of fourth-order chaotic Hamiltonian system
This paper describes various but still flow-equivalent analog realizations of the fourth-order autonomous deterministic system which exhibits the so-called Hamiltonian dynamics. Design process is described in step-by-step manner and supported by a deep experimental measurement. The main motivation of this work is to prove that mathematical model characterized by a state space volume conserving property can be successfully modeled by several lumped electronic circuits; each having cheap and off-the-shelf components but still providing structurally stable strange attractor.
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