Uniformly Bounded Initial Chaos in Large System Often Intensifies Infinitely

A.A. Lykov, V.A. Malyshev

2020, v.26, Issue 2, 213-231


We consider infinite harmonic chain with completely deterministic dynamics.
Initial data are assumed absolutely bounded. Nevertheless
maximum of the variables can grow infinitely in time. We give conditions
for this phenomenon. It coincides with intuitive guess that the main condition
for this growth is sufficient chaos in the initial conditions.

Keywords: ds{infinite number of particles, deterministic dynamics, non-equilibrium mechanics, infinite growth


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