Research on entropy properties comparison of different one-dimensional chaotic maps

DOI

10.2991/msmee-17.2017.164How to use a DOI?

Keywords

Chaos, entropy, chaotic map.

Abstract

Chaos is the uncertain phenomenon of certain systems in evolution, while entropy, as the best quantization parameter of uncertain property, is very important for entropy properties comparison of different one-dimensional chaotic maps.Compare entropy properties of different classical chaotic maps separately based on tent map,cubic map, unlimited folding map and Chebyshev map.The results show that when the system parameters are confirmed, the initial value hardly effects the entropy of chaos system. At the same time the longer the chaos sequence, the nearer the entropy value of chaos system to the theory limits.The system entropy is changing with the system value.Under the same condition, the entropy of tent map will get near to the theory limit faster while stability is stronger. This means the ergodic of tent map sequence is more uniform, which presents the theory base for that it is the best choice chaotic map practically.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xing-hua Hu
AU  - Lei-fu Gao
PY  - 2017/05
DA  - 2017/05
TI  - Research on entropy properties comparison of different one-dimensional chaotic maps
BT  - Proceedings of the 2017 2nd International Conference on Materials Science, Machinery and Energy Engineering (MSMEE 2017)
PB  - Atlantis Press
SP  - 840
EP  - 847
SN  - 2352-5401
UR  - https://doi.org/10.2991/msmee-17.2017.164
DO  - 10.2991/msmee-17.2017.164
ID  - Hu2017/05
ER  -