Leaking in history space: A way to analyze systems subjected to arbitrary driving.
Leaking in history space: A way to analyze systems subjected to arbitrary driving.
复制标题
历史空间泄漏：一种分析任意驱动系统的方法。
作者：
B. Kaszás;U. Feudel;T. Tél
我们的目标是展开相空间结构的基础系统与漂移的参数。这样的系统是非自治的，并且属于非周期性驱动系统的类别，其中传统的混沌理论（基于例如，在周期轨道上）不成立。我们证明，即使是这样的系统拥有一个基本的拓扑马蹄形结构，至少在有限的时间内。这一结果是基于一个专门开发的方法，该方法允许计算相应的随时间变化的稳定和不稳定的叶理。这些结构可以通过为相空间中的轨迹系综规定某种类型的历史并通过分析满足该约束的轨迹而变得可见。这个过程可以看作是历史空间中的一次泄漏，这是对传统泄漏的一种推广，这种方法在传统的混沌系统中已经变得非常普遍，可以看作是依赖于时间的泄漏。
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.
影响因子：
1.7
作者：
Ashwin, Peter;Perryman, Clare;Wieczorek, Sebastian
通讯作者：
Wieczorek, Sebastian