Title: Comparative Numerical Analysis of Largest Lyapunov Exponent Calculation Techniques
Abstract: Detecting and qualifying chaos in a dynamical system is an important issue that is solved by computing the largest Lyapunov exponent, which measures the average exponential rate of convergence or divergence of nearby orbits in the phase space of the considered dynamical system. In this article, the author considers two approaches for computing the largest Lyapunov exponent: orbit separation method and power method. These techniques are briefly reviewed and applied to two discrete-time dynamical systems, Lorenz map and Gumowski-Mira map, and the results are compared and discussed.
Publication Year: 2014
Publication Date: 2014-01-01
Language: en
Type: article
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