DocumentCode
2104968
Title
Direct Lyapunov method in the theory of replicator system with entropy-like applications
Author
Pykh, Yuri A.
Author_Institution
INENCO, Russian Acad. of Sci., St. Petersburg, Russia
fYear
2005
fDate
24-26 Aug. 2005
Firstpage
56
Lastpage
59
Abstract
In this report I summarize the results in the application of Direct Lyapunov method to the classical and generalized replicator systems. Based on this results it is shown that there are exist two types of Lyapunov functions: fitness-like and entropy-like. As example it´ll be establish that practically all known entropy measures may be obtain from entropy-like Lyapunov function for replicator systems.
Keywords
Lyapunov methods; chaos; classical mechanics; entropy; functional analysis; classical systems; direct Lyapunov method; entropy-like Lyapunov function; fitness-like Lyapunov function; replicator system; Biological system modeling; Biological systems; Entropy; Equations; Evolution (biology); Frequency; Geophysical measurement techniques; Ground penetrating radar; Lyapunov method; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN
0-7803-9235-3
Type
conf
DOI
10.1109/PHYCON.2005.1513950
Filename
1513950
Link To Document