Fig. 2
Maximum Lyapunov exponent versus bond order. The maximum Lyapunov exponent depends strongly upon the projection nonlinearities at different bond orders, tending to zero in the limit D → ∞. Here, we show the largest exponent varying with bond order for non-integrable (circles), integrable (crosses) and nearly integrable (pluses) systems. The largest exponent decreases like λmax(D) = 0.32(D − 1)−0.21 for non-integrable systems, λmax(D) = 0.54(D − 1)−0.27 for integrable systems and λmax(D) = 0.42(D − 1)−0.22 for nearly integrable systems
