Macor Alessandro, Doveil Fabrice, Elskens Yves
Physique des interactions ioniques et moléculaires, Unité 6633 CNRS-Université de Provence, Equipe turbulence plasma, case 321, Centre de Saint-Jérôme, Marseille, France.
Phys Rev Lett. 2005 Dec 31;95(26):264102. doi: 10.1103/PhysRevLett.95.264102. Epub 2005 Dec 23.
Numerous nonlinear driven systems display spectacular responses to forcing, including chaos and complex phase-locking plateaus characterized by "devil's staircase," Arnold tongues, and Farey trees. In the universality class of Hamiltonian systems, a paradigm is the motion of a charged particle in two waves, which inspired a renormalization group method for its description. Here we report the observation of the underlying "devil's staircase" by recording the beam velocity distribution function at the outlet of a traveling wave tube versus the amplitude of two externally induced waves.
许多非线性驱动系统对强迫表现出惊人的响应，包括混沌以及以“魔鬼阶梯”、阿诺德舌和法雷树为特征的复杂锁相平台。在哈密顿系统的普适类中，一个范例是带电粒子在两列波中的运动，这激发了一种用于描述它的重整化群方法。在这里，我们通过记录行波管出口处的束流速度分布函数与两个外部感应波的振幅的关系，报告了对潜在“魔鬼阶梯”的观测。
