论文标题
迷宫混乱：重新审视优雅，混乱和过度交流的步行
Labyrinth chaos: Revisiting the elegant, chaotic and hyperchaotic walks
论文作者
论文摘要
奥托·罗斯勒（OttoRössler）和雷内·托马斯（RenéThomas）在他们的努力中发现了迷宫混乱，以确定连续流中混沌和过度交流运动的必要数学条件。在这里，我们通过考虑一个迷宫的步行系统和一系列耦合的迷宫混乱系统来庆祝他们的发现，这些系统表现出复杂，混乱的行为，让人联想到类似嵌合体状态，这是一种奇特的同步现象。我们讨论了单个迷宫步行系统的特性，并回顾了耦合迷宫混乱系统表现出类似嵌合体状态的能力，这是由于其空间填充，混乱的轨迹的独特特性，以及优雅，高chaoticotic的步行。最后，我们通过证明它具有数量保存，也不是力量保守的，我们讨论了与迷宫行走系统有关的进一步含义。
Labyrinth chaos was discovered by Otto Rössler and René Thomas in their endeavour to identify the necessary mathematical conditions for the appearance of chaotic and hyperchaotic motion in continuous flows. Here, we celebrate their discovery by considering a single labyrinth walks system and an array of coupled labyrinth chaos systems that exhibit complex, chaotic behaviour, reminiscent of chimera-like states, a peculiar synchronisation phenomenon. We discuss the properties of the single labyrinth walks system and review the ability of coupled labyrinth chaos systems to exhibit chimera-like states due to the unique properties of their space-filling, chaotic trajectories, what amounts to elegant, hyperchaotic walks. Finally, we discuss further implications in relation to the labyrinth walks system by showing that even though it is volume-preserving, it is not force-conservative.
