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

• Κύριος συγγραφέας: Amigó, José (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Σειρά: Springer Series in Synergetics,
• Θέματα: Physics.; Data structures (Computer science).; Applied mathematics.; Engineering mathematics.; Statistical physics.; Dynamical systems.; Statistical Physics, Dynamical Systems and Complexity.; Mathematical Methods in Physics.; Data Structures, Cryptology and Information Theory.; Applications of Mathematics.

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...

Πίνακας περιεχομένων:

• 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.