KFU. Card publication. Dynamical Shannon entropy and information Tsallis entropy in complex systems

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FEDERAL UNIVERSITY

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DYNAMICAL SHANNON ENTROPY AND INFORMATION TSALLIS ENTROPY IN COMPLEX SYSTEMS

Form of presentation

Articles in international journals and collections

Year of publication

2004

Authors, employees of KFU

Gafarov Fail Mubarakovich, author

Bibliographic description in the original language

Yulmetyev, R.M. , Emelyanova, N.A., Gafarov, F.M. Dynamical Shannon entropy and information Tsallis entropy in complex systems,Physica A: Statistical Mechanics and its Applications Volume 341, Issue 1-4, 1 October 2004, Pages 649-676

Annotation

In this work, we offer a new approach to the concept of the information entropy for the description of the dynamic behaviour of complex systems. On the basis of the unification of the known information approach to the Shannon entropy, submitted in works of authors [Phys. Rev. E 62 (5) (2000) 6178; Physica A 303 (2002) 427], and generalization of the Boltzman-Gibbs entropy, offered by Tsallis [Braz. J. Phys. 29 (1) (1999) 1], we have received a new representation of the dynamic information entropy. Here we present concrete applications of the received equations to the study of complex systems related to the electric signals of ECGs of healthy people and patients with myocardial infarction (MI) as an example. Various modifications of the non-Markovity parameter are also submitted. They were received with the help of the new approach to the information entropy. We have received detailed information about Markov, quasi-Markov and non-Markov characteristics of the RR-interval fluctuations o

Keywords

Dynamical Shannon' and Tsallis's entropy; Kinetic theory; Non-Markovity parameter; Stochastic processes

The name of the journal

PHYSICA A

URL

http://www.sciencedirect.com/science/article/pii/S0378437104006223

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=89255&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Gafarov Fail Mubarakovich	ru_RU
dc.date.accessioned	2004-01-01T00:00:00Z	ru_RU
dc.date.available	2004-01-01T00:00:00Z	ru_RU
dc.date.issued	2004	ru_RU
dc.identifier.citation	Yulmetyev, R.M. , Emelyanova, N.A., Gafarov, F.M. Dynamical Shannon entropy and information Tsallis entropy in complex systems,Physica A: Statistical Mechanics and its Applications Volume 341, Issue 1-4, 1 October 2004, Pages 649-676	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=89255&p_lang=2	ru_RU
dc.description.abstract	PHYSICA A	ru_RU
dc.description.abstract	In this work, we offer a new approach to the concept of the information entropy for the description of the dynamic behaviour of complex systems. On the basis of the unification of the known information approach to the Shannon entropy, submitted in works of authors [Phys. Rev. E 62 (5) (2000) 6178; Physica A 303 (2002) 427], and generalization of the Boltzman-Gibbs entropy, offered by Tsallis [Braz. J. Phys. 29 (1) (1999) 1], we have received a new representation of the dynamic information entropy. Here we present concrete applications of the received equations to the study of complex systems related to the electric signals of ECGs of healthy people and patients with myocardial infarction (MI) as an example. Various modifications of the non-Markovity parameter are also submitted. They were received with the help of the new approach to the information entropy. We have received detailed information about Markov, quasi-Markov and non-Markov characteristics of the RR-interval fluctuations o	ru_RU
dc.language.iso	ru	ru_RU
dc.subject		ru_RU
dc.title	Dynamical Shannon entropy and information Tsallis entropy in complex systems	ru_RU
dc.type	Articles in international journals and collections	ru_RU