Synchronization and control of nonlinear dynamical systems by noisy forcing

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It is known that nonlinear dynamical systems exhibiting autonomous nonlinear oscillations tend to improve their output reproducibility or synchronize with each other when driven by common temporally fluctuating inputs instead of constant inputs. To understand this phenomenon, detailed theoretical analysis was performed using the methods of nonlinear dynamics and stochastic processes, in particular, the phase reduction theory for limit-cycle oscillators. Theoretical results were quantitatively verified using experimental electronic circuits exhibiting nonlinear oscillations.