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Journal Article

Reduction of the synchronization time in random logistic maps


Sano,  Kaito
External Organizations;


Mitsui,  Takahito
Potsdam Institute for Climate Impact Research;

Akimoto,  Takuma
External Organizations;

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Sano, K., Mitsui, T., Akimoto, T. (2020): Reduction of the synchronization time in random logistic maps. - Physical Review E, 102, 6, 062209.

Cite as: https://publications.pik-potsdam.de/pubman/item/item_24915
We report on the effects of additive noises in a nonchaotic logistic map. In this system, the Lyapunov exponent changes from negative to positive as the noise intensity is increased. When the Lyapunov exponent is negative, the synchronization of orbits with different initial conditions occurs. We find that the synchronization time cannot be determined solely by the Lyapunov exponent when the noise intensity is greater than a point at which the Lyapunov exponent is minimum. We show that this reduction of the synchronization time is attributed to initial nonstationary behaviors, where the critical point of the logistic map plays an important role.