Abstract
To study phenomena in which functions governing change of states should be regarded as variable, we introduce a shift dynamics called a functional shift which can describe dynamic change of functions.By using functional shifts, we describe dynamical behavior similar to chaotic itinerancy that is an itinerant motion among varieties of ordered states through chaotic motion.We analyze such dynamical behavior in terms of truncated Levy distribution, and ascertain the existence of itinerant dynamics both in variables and functions with a computer simulation.
