论文标题
长期延迟系统的时空表示：另一种方法
Spatio-temporal representation of long-delayed systems: an alternative approach
论文作者
论文摘要
具有长延迟反馈的动力系统可以表现出复杂的时间现象，曾经在二维空间中重新组织的时间复杂，让人联想到时空行为。在此框架中，已经开发出正常的形式描述是为了重现将相应变量视为真实空间和时间的动态和机会。但是，最近在参考文献中提出了另一种方法。 \ cite {Marino2018}对所涉及的变量有不同的解释，这更好地考虑了其物理特征，并可以更轻松地确定正常形式。在本文中，我们扩展了这种想法，并将其应用于许多范式示例，为重新思考长期延迟系统的时空表示概念铺平了道路。
Dynamical systems with long delay feedback can exhibit complicated temporal phenomena, which once re-organized in a two-dimensional space are reminiscent of spatio-temporal behavior. In this framework, normal forms description have been developed to reproduce the dynamics and the opportunity to treat the corresponding variables as true space and time has been since established. However, recently an alternative approach has been proposed in Ref. \cite{Marino2018} with a different interpretation of the variables involved, which takes better into account their physical character and allows for an easier determination of the normal forms. In this paper, we extend such idea and apply it to a number of paradigmatic examples, paving the way to a re-thinking of the concept of spatio-temporal representation of long-delayed systems.
