论文标题
迷宫步行：优雅的混沌保守非汉顿系统
Labyrinth walks: An elegant chaotic conservative non-Hamiltonian system
论文作者
论文摘要
在本文中，我们表明“迷宫行走”是“迷宫混乱”的保守版本，也不承认托马斯·雷斯勒系统类别的成员，并未承认自主哈密顿族人在时间上持续不断的功能，因此，不承认同类结构。但是，它是保守的，因此承认了载体的潜力，同时是混乱的。这套特殊的特性使“迷宫行走”成为混乱，保守，非汉顿系统的优雅例子，其相位空间中只有不稳定的固定点，以3维网格排列。结果，即使是确定性的系统，“迷宫行走”，它也会让人联想到随机系统中布朗运动的分数！
In this paper, we show that "Labyrinth walks", the conservative version of "Labyrinth chaos" and member of the Thomas-Rössler class of systems, does not admit an autonomous Hamiltonian as a constant function in time, and as a consequence, does not admit a symplectic structure. However, it is conservative, and thus admits a vector potential, being at the same time chaotic. This exceptional set of properties makes "Labyrinth walks" an elegant example of a chaotic, conservative, non-Hamiltonian system, with only unstable stationary points in its phase space, arranged in a 3-dimensional grid. As a consequence, "Labyrinth walks", even though is a deterministic system, it exhibits motion reminiscent of fractional Brownian motion in stochastic systems!
