Permutation Complexity in Dynamical Systems: Ordinal Patterns, Permutation Entropy and All That



Permutation Complexity in Dynamical Systems: Ordinal Patterns, Permutation Entropy and All That By José Amigó
Publisher: Sp ringе.r 2010 | 280 Pages | ISBN: 3642040837 | File type: PDF | 2 mb



The study of permutation complexity can be envisioned as a new kind of symbolic dynamics whose basic blocks are ordinal patterns, that is, permutations defined by the order relations among points in the orbits of dynamical systems.
Since its inception in 2002 the concept of permutation entropy has sparked a new branch of research in particular regarding the time series analysis of dynamical systems that capitalizes on the order structure of the state space. Indeed, on one hand ordinal patterns and periodic points are closely related, yet ordinal patterns are amenable to numerical methods, while periodicity is not.
Another interesting feature is that since it can be shown that random (unconstrained) dynamics has Follow Rules!

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