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Leaking in history space: A way to analyze systems subjected to arbitrary driving

机译:历史空间泄漏:一种分析经过任意驾驶的系统的方法

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摘要

Our aim is to unfold phase space structures underlying systems with a drift in their parameters. Such systems are non-autonomous and belong to the class of non-periodically driven systems where the traditional theory of chaos (based e.g., on periodic orbits) does not hold. We demonstrate that even such systems possess an underlying topological horseshoe-like structure at least for a finite period of time. This result is based on a specifically developed method which allows to compute the corresponding time-dependent stable and unstable foliations. These structures can be made visible by prescribing a certain type of history for an ensemble of trajectories in phase space and by analyzing the trajectories fulfilling this constraint. The process can be considered as a leaking in history space-a generalization of traditional leaking, a method that has become widespread in traditional chaotic systems, to leaks depending on time. Published by AIP Publishing.
机译:我们的目标是展开潜在系统的相位空间结构,其参数漂移。 这种系统是非自主的,属于非周期性驱动的系统,其中传统的混沌理论(例如,在周期性轨道上)不会持有。 我们证明即使这样的系统甚至具有底层拓扑马蹄形结构,至少用于有限的时间。 该结果基于专门开发的方法,允许计算相应的时间依赖性稳定和不稳定的叶子。 这些结构可以通过在相位空间中的轨迹的集合并通过分析满足这一限制的轨迹来了解某种类型的历史来看见。 该过程可以被认为是历史空间中泄漏 - 传统泄漏的概括,一种在传统混沌系统中普遍存在的方法,根据时间泄漏。 通过AIP发布发布。

著录项

  • 来源
    《Chaos》 |2018年第2期|共11页
  • 作者单位

    Eotvos Lorand Univ Inst Theoret Phys Pazmany Peter Setany 1-A H-1117 Budapest Hungary;

    Carl von Ossietzky Univ Oldenburg ICBM Theoret Phys Complex Syst D-26129 Oldenburg Germany;

    Eotvos Lorand Univ Inst Theoret Phys Pazmany Peter Setany 1-A H-1117 Budapest Hungary;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 自然科学总论;
  • 关键词

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