Summary
We use the method of computing numerically the maximal Liapunov characteristics exponent in order to test the stochasticity of a particular model of coupled oscillators, describing a discretized one-dimensional nonlinear Klein-Gordon equation. Such a model was studied, from a different point of view by Fucitoet al. and by Buteraet al. The result is that a transition to stochasticity occurs when one passes from low energies to higher energies, and furthermore that the stochasticity decreases, tending to zero, at very high energies.
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Caravati, G., Giorgilli, A. & Galgani, L. Numerical computations of Liapunov exponents for a discretized one-dimensional nonlinear Klein-Gordon equation. Lett. Nuovo Cimento 38, 385–389 (1983). https://doi.org/10.1007/BF02789596
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DOI: https://doi.org/10.1007/BF02789596