Title :
Direct Lyapunov method in the theory of replicator system with entropy-like applications
Author_Institution :
INENCO, Russian Acad. of Sci., St. Petersburg, Russia
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;
Conference_Titel :
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN :
0-7803-9235-3
DOI :
10.1109/PHYCON.2005.1513950
