泛正则自治异步系统:Ω极限集,不变性和吸引域
Universal regular autonomous asynchronous systems: omega-limit sets, invariance and basins of attraction
摘要:
异步系统是电气工程中异步电路的非确定性实时的二进制模型。自主性意味着电路及其模型没有输入。正则性意味着与动力系统的类比,因此这样的系统可以被认为是具有“向量场”Φ:{0,1}^2 \rightarrow {0,1}^2的实时的动力系统。普适性是指系统的状态空间在包含意义上是最大可能的情况。本文的目的是通过类比动力系统理论,定义泛正则自治异步系统的ω-极限集、不变性和吸引域。
英文摘要:
The asynchronous systems are the non-deterministic real time-binary models of the asynchronous circuits from electrical engineering. Autonomy means that the circuits and their models have no input. Regularity means analogies with the dynamical systems, thus such systems may be considered to be the real time dynamical systems with a 'vector field' Φ:{0,1}^2 \rightarrow {0,1}^2. Universality refers to the case when the state space of the system is the greatest possible in the sense of the inclusion. The purpose of the paper is that of defining, by analogy with the dynamical systems theory, the ω-limit sets, the invariance and the basins of attraction of the universal regular autonomous asynchronous systems.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。