ABSTRACT
Intermittency is a particular route to the deterministic chaos characterized by spontaneous transitions between laminar and chaotic dynamics. Intermittency has been found in a variety of different systems, including, for example, periodically forced nonlinear oscillators, Rayleigh–Benard convection, derivative nonlinear Schrödinger equation, and development of turbulence in hydrodynamics. Proper qualitative and quantitative characterizations of intermittency based on experimental data are especially useful for studying problems with partial or complete lack of knowledge on exact governing equations, as it frequently happens, for example, in economics, biology, and medicine. A characteristic attribute of intermittency is the global reinjection mechanism that maps trajectories of the system from the chaotic region back into the local laminar phase. The chapter presents some results of novel view of a recent theory on the intermittency phenomenon based on a new two-parameter class of probability density of reinjections appearing in many maps with intermittency.
