31 research outputs found
Complexity-entropy analysis at different levels of organization in written language
Written language is complex. A written text can be considered an attempt to
convey a meaningful message which ends up being constrained by language rules,
context dependence and highly redundant in its use of resources. Despite all
these constraints, unpredictability is an essential element of natural
language. Here we present the use of entropic measures to assert the balance
between predictability and surprise in written text. In short, it is possible
to measure innovation and context preservation in a document. It is shown that
this can also be done at the different levels of organization of a text. The
type of analysis presented is reasonably general, and can also be used to
analyze the same balance in other complex messages such as DNA, where a
hierarchy of organizational levels are known to exist
Complexity and transition to chaos in coupled Adler-type oscillators
Coupled non-linear oscillators are ubiquitous in dynamical studies. A wealth
of behaviors have been found mostly for globally coupled systems. From a
complexity perspective, less studied have been systems with local coupling,
which is the subject of this contribution. The phase approximation is used, as
weak coupling is assumed. In particular, the so called needle region, in
parameter space, for Adler-type oscillators with nearest neighbors coupling is
carefully characterized. The reason for this emphasis is that in the border of
this region to the surrounding chaotic one, computation enhancement at the edge
of chaos has been reported. The present study shows that different behaviors
within the needle region can be found, and a smooth change of dynamics could be
identified. Entropic measures further emphasize the region's heterogeneous
nature with interesting features, as seen in the spatiotemporal diagrams. The
occurrence of wave-like patterns in the spatiotemporal diagrams points to
non-trivial correlations in both dimensions. The wave patterns change as the
control parameters change without exiting the needle region. Spatial
correlation is only achieved locally at the onset of chaos, with different
clusters of oscillators behaving coherently while disordered boundaries appear
between them.Comment: revised version published in PHYSICAL REVIEW E 107, 044212 (2023