Open AccessDynamic Lyapunov Indicator (DLI): A Perfect Indicator for Evolutionary System
Author(s) -
L. M. Saha,
Til Prasad Sarma,
Purnima Dixit
Publication year - 2016
Publication title -
journal of applied computer science and mathematics/journal of applied computer science
Language(s) - English
Resource type - Journals
eISSN - 2066-3129
pISSN - 1843-1046
DOI - 10.4316/jacsm.201602006
Subject(s) - control theory (sociology) , computer science , mathematics , artificial intelligence , control (management)
Recently proposed indicators along with their abilities for identification of chaotic motion have been described. These are Fast Lyapunov Exponents (FLI), Smaller Alignment Indices (SALI) and Dynamic Lyapunov Indicator (DLI). Working performances of these indicators are verified for some two and three dimensional systems. For clear identification of regular and chaotic motion, Lyapunov exponents (LCEs) are obtained and represented through plots. Numerical data for indicators FLI, SALI and DLI have been calculated and represented through plots and nature of these plots are analyzed and discussed. This leads to establish the efficiency of these indicators. Investigations made here reveal that the indicator DLI works perfectly and FLI and SALI are not consistent as per their definitions