Journal
CHAOS
Volume 32, Issue 11, Pages -Publisher
AIP Publishing
DOI: 10.1063/5.0113335
Keywords
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Categories
Funding
- Generalitat Valenciana, Spain [CEX2019-000904-S]
- Ministerio de Ciencia, Innovacion y Universidades
- Agencia Estatal de Investigacion, Spain
- Severo Ochoa Programme for Centres of Excellence in RD
- Ministerio de Ciencia, Innovacion y Universidades y Agencia Estatal de Investigacion, Spain
- [PGC2018-094898-B-I00]
- [PID2019-108654GB-I00]
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This review discusses group entropy and its application to permutation complexity. A new approach to complexity in time series analysis based on permutation entropy and group entropy is revisited. The results show that the permutation entropy rate can be extended to random processes, providing a unified framework to discuss chaotic and random behaviors.
This is a review of group entropy and its application to permutation complexity. Specifically, we revisit a new approach to the notion of complexity in the time series analysis based on both permutation entropy and group entropy. As a result, the permutation entropy rate can be extended from deterministic dynamics to random processes. More generally, our approach provides a unified framework to discuss chaotic and random behaviors.
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