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Книга Permutation Complexity in Dynamical Systems José Amigó

Permutation Complexity in Dynamical Systems

Ordinal Patterns, Permutation Entropy and All That

Автор: José Amigó
Език: Английски език
Корици: С твърди корици
Издател: Springer, Berlin
Наличност: Външен склад
Изпращаме след 10-13 дни
52.68 € 103.02 лв
The study of permutation complexity can be envisioned as a new kind of symbolic dynamics whose basic...

Информация за книгата

Автор
José Amigó
Език
Английски език
Корици
Книга - С твърди корици
Издадена
2010
страници
280
EAN
9783642040832
ISBN
3642040837
Enbook ID
01650434
Издател
Springer, Berlin
Теглоt
592
Размери
155 x 235 x 20

Пълно описание

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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