In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps.
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Astakhov, Vladimir, Shabunin, Alexey, Klimshin, Alexander, Anishchenko, Vadim (2002)
Discrete Dynamics in Nature and Society
Kundu, Anjan (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Jérôme Buzzi (1997)
Monatshefte für Mathematik
Sullivan, Michael C. (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Witold Szczechla (1989)
Fundamenta Mathematicae
Alexei Ya. Belov, Grigorii V. Kondakov, Ivan V. Mitrofanov (2011)
Banach Center Publications
This paper reviews some results regarding symbolic dynamics, correspondence between languages of dynamical systems and combinatorics. Sturmian sequences provide a pattern for investigation of one-dimensional systems, in particular interval exchange transformation. Rauzy graphs language can express many important combinatorial and some dynamical properties. In this case combinatorial properties are considered as being generated by a substitutional system, and dynamical properties are considered...
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