Physics and Astronomy
5 years ago

New method predicts chaos in systems without needing physical trajectories.

Physical review. E
Symbolic diffusion entropy rate of chaotic time series as a surrogate measure for the largest Lyapunov exponent
Kota Shiozawa, Takaya Miyano

Paper Summary

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Researchers have developed a new method to estimate chaotic behavior in time series data without needing to track nearby trajectories. By analyzing the random diffusion of symbols in chaotic attractors, they found a way to measure the largest Lyapunov exponent accurately. This method was tested on numerical data from chaotic flow models and was shown to be effective in capturing chaotic dynamics.