Year: 1997
Type: article
Abstract: A recently introduced class of dynamical systems, the generalized shifts, is shown to exhibit both topological chaos, while being metrically ordered, and a phase transition in the framework of the thermodynamic formalism when this is applied to its entropic properties. Therefore, it provides a further example of complex behaviour emerging at the border between order and chaos. Its anomalous dynamical properties are the result of a strong nonhyperbolicity which, in turn, is a manifestation of uncomputability in generalized shifts.
Institutions: National Institute of Optics, Paul Scherrer Institute
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1990917383