| Contents |
| The concept of intermittency has been introduced by Pomeau and Maneville in
the context of the Lorenz system and are usually classified in three
classes called I, II, and III.
Intermittency is a specific route to the deterministic chaos when spontaneous
transitions between laminar and chaotic dynamics occur.
The main attribute of intermittency is a {\em global reinjection mechanism}
described by the corresponding reinjection probability density (RPD),
that maps trajectories of the system from the chaotic region back into
the {\em local} laminar phase.
We generalize the classical analytical expressions for the RPD
in systems showing Type-I, II, or III intermittency. As a consequence,
the classical intermittency theory is a particular case of the new one.
we present an analytical approach to the noise reinjection
probability density.
It is also important to note that from the RPD, obtained from noisy data,
we have a complete description of the noiseless system.
Pathological cases of intermittency described in the literature are known by
their significant deviation of the main characteristics
from those predicted by the classical theory. In this work we
have shown that the use of generalized RPD
provides faithful description of anomalous and standard intermittencies in the
unified framework. |
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