Tune shift with amplitude of the system. When the tune reaches resonant values, it can be unstable, and thus a tune-shift with amplitude can limit the stability region, or dynamic aperture. In classical mechanics, a simple example of a system with tune shift with amplitude is a pendulum. In accelerator physics, both the transverse and the longitudinal dynamics show tune shift with amplitude. A simple model of the transverse dynamics is of an oscillator with a single sextupole, it is referred to as the Hénon map. Another model for this case is the Standard Map. An important example is the typical case of distributed
Amplitude panning by a pair of microphones to the amplitude difference of in-phase input signals to two loudspeakers. Assuming free field sound propagation, it has been shown that the sound field presented by these two transducers can deliver an appropriate phase difference between the positions of listener’s ears at low frequencies, where the relation between the position of phantom image and the corresponding amplitude ratio may be summarized by the so-called ‘sine law’ (similarly, the tangent law). The system was designed to work approximately below 1 kHz, above which the given phase difference becomes ambiguous, and so does the position of the