Emergence and control of breather and plasma oscillations by synchronizing perturbations.
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.
Friedland
L
L
Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel.
Shagalov
A G
AG