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
The Tao of Physics Today": "Fritjof Capra, in "The Tao of Physics", seeks ... an integration of the mathematical world view of modern physics and the mystical visions of Buddha and Krishna. Where others have failed miserably in trying to unite these seemingly different world views, Capra, a high-energy theorist, has succeeded admirably. I strongly recommend the book to both layman and scientist." Jeremy Bernstein, a professor of physics at the Stevens Institute of Technology, chastised "The Tao of Physics": At the heart of the matter is Mr. Capra's methodology – his use of what seem to me to be accidental similarities of language