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
Metaphor therapy a psychological ground on which movement can occur, and this freedom of movement is the aim of therapy. By linking different things, metaphors aim at conceptual change through new insight, involving re-categorization of experience along new lines of meaning. Metaphorical interpretation of life, rather than analogical, combines the past with what is new. The transference relationship is thought of as an example of metaphor, a kind of symbolic translation of earlier strivings to present-day circumstances, as opposed to a re-enactment, which would lose the creative power of the metaphor and be merely analogic. The use of metaphor therapy in psychotherapeutic