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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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2010, 2010
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| Edition: | 1st ed. 2010 |
| Series: | Springer Series in Synergetics
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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