The number dependence of the maximum Lyapunov exponent
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We examine the number dependence of the largest Lyapunov exponent for nonlinear dynamical systems in one, two and three Cartesian dimensions. Our results suggest that the largest Lyapunov exponent diverges logarithmically with system size, independently of the number of Cartesian dimensions and the interaction potential.
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Physica A: Statistical Mechanics and its Applications