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Weak Chaos in large conservative system -- Infinite-range coupled standard maps

Luis G. Moyano·Ana P. Majtey·Constantino Tsallis
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Abstract

We study, through a new perspective, a globally coupled map system that essentially interpolates between simple discrete-time nonlinear dynamics and certain long-range many-body Hamiltonian models. In particular, we exhibit relevant similarities, namely (i) the existence of long-standing quasistationary states (QSS), and (ii) the emergence of weak chaos in the thermodynamic limit, between the present model and the Hamiltonian Mean Field model, a strong candidate for a nonxtensive statistical mechanical approach.

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Luis G. Moyano, Ana P. Majtey, Constantino Tsallis. 2005-10-10. Weak Chaos in large conservative system -- Infinite-range coupled standard maps. https://doi.org/10.1142/9789812701558_0013

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