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• W2963876753 abstract "We show how to introduce a characterization the complexity of random dynamical systems. More precisely we propose a suitable indicator of complexity in terms of the average number of bits per time unit necessary to specify the sequence generated by these systems. This indicator of complexity, which can be extracted from real experimental data, turns out to be very natural in the context of information theory. For dynamical systems with random perturbations, it coincides with the rate K of divergence of nearby trajectories evolving under two different noise realizations. In presence of strong dynamical intermittency, the value of K is very different from the standard Lyapunov exponent λ σ computed through the consideration of two nearby trajectories evolving under the same realization of the random perturbation. However, the former is much more relevant than the latter from a physical point of view as illustrated by some numerical examples of noisy and random maps." @default.
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• W2963876753 date "1998-01-30" @default.
• W2963876753 modified "2023-09-23" @default.
• W2963876753 title "On the Concept of Complexity of Random Dynamical Systems" @default.
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• W2963876753 doi "https://doi.org/10.1142/s0217979298000181" @default.
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