具有线平衡的动力系统混沌的实验证实

J. Petrzela
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引用次数: 0

摘要

这篇简短的文章遵循最近的发现,涉及一类具有退化的三阶自主确定性动力系统,即线平衡。证明了相应的数学模型可以实现为具有市售有源元件的全模拟混沌振荡器。理论背景显示了典型的状态吸引子,关于可变电路参数的分岔图以及吸引盆地。所提出的设计程序是直接的,最终的网络可以标记为规范的意义上的最小必要的电路元件。并给出了用数字示波器测量分岔序列意义上的实验验证。
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Experimental confirmation of chaos in dynamical systems with line equilibirum
This brief paper follows a very recent discoveries involving a class of the third-order autonomous deterministic dynamical systems with degenerated, namely line equilibrium. It is proved that the corresponding mathematical models can be realized as fully analogue chaotic oscillators with commercially available active elements. The theoretical background shows typical state attractors, bifurcation diagrams with respect to variable circuit parameters as well as the basins of attraction. The proposed design procedure is straightforward and final networks can be marked as canonical in the sense of minimum necessary circuit components. The experimental verification is also presented in the sense of bifurcation sequence measured by digital oscilloscope.
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