Biochemistry, Genetics and Molecular Biology
8 years ago

Algorithm slashes time to calculate system evolution, revolutionizing chaos prediction.

AIP conference proceedings
A Fast Algorithm for Lyapunov Exponents Calculation in Piecewise Linear Systems
B. Cannas, F. Pisano, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Zacharias Anastassi

Paper Summary

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Lyapunov exponents help understand how a system changes over time. Estimating these exponents accurately is hard and time-consuming, especially for chaotic systems. A new algorithm has been created to calculate Lyapunov exponents faster and more precisely in systems with linear parts. By taking advantage of the system's linearity, this algorithm can give reliable results in less time.