10 citations · 38 across the 16 of their papers we have counts for
4 papers · 2 filters
How Smooth Should be the System Initially to Escape Unbounded Chaos
A. Lykov, V. Malyshev
We consider infinite harmonic chain on the real line with deterministic dynamics (no stochasticity). We indicate classes of uniformly bounded initial conditions when the trajectori…
Uniformly Bounded Initial Chaos in Large System Often Intensifies Infinitely
A. Lykov, V. Malyshev
We consider infinite harmonic chain with completely deterministic dynamics. Initial data are assumed absolutely bounded. Nevertheless maximum of the variables can grow infinitely i…
Long Time Behavior of Infinite Harmonic Chain with Initial Conditions
A. Lykov, M. Melikian
We consider infinite harmonic chain with -initial conditions and deterministic dynamics (no probability at all). Main results concern the question when the solution will be…
Energy Growth of Infinite Harmonic Chain under Microscopic Random Influence
A. Lykov
Infinite harmonic chains of point particles with finite range translation invariant interaction have considered. It is assumed that the only one particle influenced by the white no…