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

Amig�, Jos�

9783642262890: Permutation Complexity in Dynamical Systems: Ordinal Patterns, Permutation Entropy and All That

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ISBN 10 : 3642262899 ISBN 13 : 9783642262890

Editeur : Springer, 2012

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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.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

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The study of permutation complexity can be envisioned as a new kind of symbolic dynamics. This book is primarily addressed to researchers working in nonlinear dynamics and complex systems. It is also for graduate students interested in these subjects.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteurSpringer
Date d'�dition2012
ISBN 10 3642262899
ISBN 13 9783642262890
ReliureBroch�
Langueanglais
Nombre de pages268
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9783642040832: Permutation Complexity in Dynamical Systems: Ordinal Patterns, Permutation Entropy and All That

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Editeur : Springer-Verlag Berlin and Heide..., 2010
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Permutation Complexity in Dynamical Systems

Jos� Amig�

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ISBN 10 : 3642262899 ISBN 13 : 9783642262890

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 incept. N� de r�f. du vendeur 5054359

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

Jos� Amig�

Edit� par Springer Berlin Heidelberg, 2012

ISBN 10 : 3642262899 ISBN 13 : 9783642262890

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N� de r�f. du vendeur 9783642262890

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Permutation Complexity in Dynamical Systems

Jos� Amig�

Edit� par Springer Berlin Heidelberg Mai 2012, 2012

ISBN 10 : 3642262899 ISBN 13 : 9783642262890

Neuf Taschenbuch

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 268 pp. Englisch. N� de r�f. du vendeur 9783642262890

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Permutation Complexity in Dynamical Systems

Jos� Amig�

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg Mai 2012, 2012

ISBN 10 : 3642262899 ISBN 13 : 9783642262890

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 268 pp. Englisch. N� de r�f. du vendeur 9783642262890

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