We show that a pair of chaotic systems subjected to the same noise may undergo a transition at large enough noise amplitude and follow almost identical trajectories with complete insensitivity to initial conditions. An analytic argument is presented to show that a pair of generic systems in the same potential evolving to equilibrium through standard Langevin dynamics with the same noise collapse into the same trajectory at long times.
Chaos, Noise, and Synchronization
MARITAN, AMOS;
1994
Abstract
We show that a pair of chaotic systems subjected to the same noise may undergo a transition at large enough noise amplitude and follow almost identical trajectories with complete insensitivity to initial conditions. An analytic argument is presented to show that a pair of generic systems in the same potential evolving to equilibrium through standard Langevin dynamics with the same noise collapse into the same trajectory at long times.
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