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

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 s...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Amigó, José (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Edition:1st ed. 2010.
Series:Springer Series in Synergetics,
Subjects:
System theory.
Mathematical physics.
Data structures (Computer science).
Information theory.
Mathematics.
Complex Systems.
Mathematical Methods in Physics.
Data Structures and Information Theory.
Applications of Mathematics.
Theoretical, Mathematical and Computational Physics.
Online Access:Texto Completo
Table of Contents:
  • What Is This All About?
  • First Applications
  • Ordinal Patterns
  • Ordinal Structure of the Shifts
  • Ordinal Structure of the Signed Shifts
  • Metric Permutation Entropy
  • Topological Permutation Entropy
  • Discrete Entropy
  • Detection of Determinism
  • Space-Time Dynamics
  • Conclusion and Outlook.

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