Nóse-Hoover恒温动态系统的新颖电路实现

2011 34th International Conference on Telecommunications and Signal Processing (TSP) Pub Date : 2011-10-13 DOI:10.1109/TSP.2011.6043720

Z. Hrubos, T. Gotthans, J. Petrzela

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引用次数: 1

摘要

1963年，当洛伦兹在一个由三个自治常微分方程和两个二次非线性组成的简单系统中发现混沌时，大多数科学家都感到惊讶。本文综述了保守混沌振荡器的数值分析、仿真和电路实现。有理由相信，具有二次线性和分段非线性的混沌流的代数上最简单的例子现在已经被确定。描述了简单Nóse-Hoover系统的一种特殊情况，在不需要设置系统参数(或所有参数都等于1)的情况下可以观察到混沌吸引子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Novel circuit implementation of the Nóse-Hoover thermostated dynamic system

It came as a surprise to most scientists when Lorenz in 1963 discovered chaos in a simple system of three autonomous ordinary differential equations with two quadratic nonlinearities. This paper reviews the numerical analysis, simulation and circuit implementation of conservative chaotic oscillator. There is reason to believe that the algebraically simplest examples of chaotic flows with quadratic and piecewise linear nonlinearities have now been identified. A special case of the simple Nóse-Hoover system where the chaotic attractor can be observed without the need to set parameters of the system (or all are equal to one) is described.

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2011 34th International Conference on Telecommunications and Signal Processing (TSP)

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