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Carte Permutation Complexity in Dynamical Systems José Amigó

Permutation Complexity in Dynamical Systems

Ordinal Patterns, Permutation Entropy and All That

Autor: José Amigó
Limbă: engleză
Legare: Copertă tare
Editura: Springer, Berlin
Disponibilitate: În depozitul extern
Expediem în 10-13 zile
276.36 lei
The study of permutation complexity can be envisioned as a new kind of symbolic dynamics whose basic...

Informații despre carte

Autor
José Amigó
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2010
Pagini
280
EAN
9783642040832
ISBN
3642040837
Enbook ID
01650434
Editura
Springer, Berlin
Greutate
592
Dimensiuni
155 x 235 x 20

Descriere completă

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 no forbidden patterns with probability one, their existence can be used as a fingerprint to identify any deterministic origin of orbit generation.§This book is primarily addressed to researchers working in the field of nonlinear dynamics and complex systems, yet will also be suitable for graduate students interested in these subjects. The presentation is a compromise between mathematical rigor and pedagogical approach. Accordingly, some of the more mathematical background needed for more in depth understanding has been shifted into the appendices.

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