Friedland L, Shagalov A G
Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Jun;73(6 Pt 2):066612. doi: 10.1103/PhysRevE.73.066612. Epub 2006 Jun 12.
Large amplitude standing waves of spatially periodic sine-Gordon equations are excited and controlled by sweeping the frequency of a small, spatially modulated driving oscillation through resonances in the system. The approach is based on capturing the system into resonances and subsequent adiabatic, persistent phase locking (autoresonance) yielding control via a single external parameter (the driving frequency). Plasma oscillations in the system are excited by using a small amplitude drive in the form of a chirped frequency standing wave, while emergence of autoresonant breather oscillations requires driving by a combination of small amplitude oscillation and standing waves.
通过扫描一个小的、空间调制的驱动振荡的频率使其通过系统中的共振，从而激发和控制空间周期正弦 - 戈登方程的大幅驻波。该方法基于使系统进入共振并随后进行绝热的、持续的锁相（自共振），通过单个外部参数（驱动频率）实现控制。系统中的等离子体振荡通过啁啾频率驻波形式的小振幅驱动来激发，而自共振呼吸子振荡的出现则需要小振幅振荡和驻波的组合驱动。
