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Springer Series in Synergetics

Permutation Complexity in Dynamical Systems

Ordinal Patterns, Permutation Entropy and All That

Authors: Amigó, José

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About this book

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.

Reviews

From the reviews:

“This book describes a study of permutation complexity … . The book is aimed primarily at researchers in nonlinear dynamics and complex systems, but it is also accessible to graduate students.”­­­ (William J. Satzer jun, Zentralblatt MATH, Vol. 1197, 2010)

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-642-04084-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA in USD
  • ISBN 978-3-642-04083-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • ISBN 978-3-642-26289-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Permutation Complexity in Dynamical Systems
Book Subtitle
Ordinal Patterns, Permutation Entropy and All That
Authors
Series Title
Springer Series in Synergetics
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-04084-9
DOI
10.1007/978-3-642-04084-9
Hardcover ISBN
978-3-642-04083-2
Softcover ISBN
978-3-642-26289-0
Series ISSN
0172-7389
Edition Number
1
Number of Pages
X, 280
Number of Illustrations
13 illustrations in colour
Topics