Dynamic Lyapunov Indicator (DLI): A Perfect indicator for Evolutionary System

• Main Authors: Niteesh Sahni, Til Prasad Sarma, Lal Mohan Saha
• Format: Article
• Language: English
• Published: Stefan cel Mare University of Suceava 2016-10-01
• Series: Journal of Applied Computer Science & Mathematics
• Subjects: Attractors; Lyapunov exponents; bifurcation; period adding; chaos indicators
• Online Access: http://jacsm.ro/view/?pid=22_6

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.