Physics and Astronomy
8 years ago

New algorithm predicts best time for impulsive synchronization in chaotic systems.

Journal of Circuits and Systems
Study on the Conditional Lyapunov Exponents and Time- Lyapunov Exponents
HE Dai-hai

Paper Summary

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The article discusses a new method to calculate two important properties of dynamical systems: conditional Lyapunov exponents (CLE) and time-Lyapunov exponents. CLE is crucial for chaotic synchronization, while time-Lyapunov exponents are key for impulsive synchronization. The researchers developed a simple algorithm to easily determine these exponents, building on existing programming methods. This algorithm can also estimate the best time for impulsive synchronization.