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Entropy Production and Pesin-Like Identity at the Onset of Chaos

Entropy Production and Pesin-Like Identity at the Onset of Chaos

Asymptotically entropy of chaotic systems increases linearly and the sensitivity to initial conditions is exponential with time: these two types of behavior are related. Such relationship is analogous to and, under specific conditions, has been shown to coincide with the Pesin identity. Numerical evidence supports the proposal that the statistical …