RS触发器电路动力学再探
RS Flip-Flop Circuit Dynamics Revisited
摘要：
逻辑RS触发器电路的离散平面动力系统的背景下，再次调查，但这一次开始与简单的双线性（最小）组件模型的基础上的基本原则。的极小模型的动力学进行了详细描述，并表现出一些预期的属性，但不是典型的混沌RS触发器电路的物理实现的模拟中发现的混沌制度。任何混沌逻辑电路的物理实现都必然涉及到小的扰动--通常是相当大的，甚至是不存在的导数--可能还有一些混沌破坏。因此，极小模型的扰动形式也进行了相当详细的分析。它被证明扰动极小模型可以表现出混沌政权，有时与混沌奇异吸引子，以及一些分歧的特点，目前在几个更详细和更少的根本接地动力学模型，已在最近的文献中进行了研究。开发的方法的验证提供了一些比较（主要是模拟）从更传统的调查获得的动态结果。
英文摘要：
Logical RS flip-flop circuits are investigated once again in the context of discrete planar dynamical systems, but this time starting with simple bilinear (minimal) component models based on fundamental principles. The dynamics of the minimal model is described in detail, and shown to exhibit some of the expected properties, but not the chaotic regimes typically found in simulations of physical realizations of chaotic RS flip-flop circuits. Any physical realization of a chaotic logical circuit must necessarily involve small perturbations - usually with quite large or even nonexisting derivatives - and possibly some symmetry-breaking. Therefore, perturbed forms of the minimal model are also analyzed in considerable detail. It is proved that perturbed minimal models can exhibit chaotic regimes, sometimes associated with chaotic strange attractors, as well as some of the bifurcation features present in several more elaborate and less fundamentally grounded dynamical models that have been investigated in the recent literature. Validation of the approach developed is provided by some comparisons with (mainly simulated) dynamical results obtained from more traditional investigations.
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