10 citations · 38 across the 16 of their papers we have counts for
16 papers
Infinite Chain of Harmonic Oscillators Under the Action of the Stationary Stochastic Force
Alexandr Lykov, Margarita Melikian
We consider countable system of harmonic oscillators on the real line with quadratic interaction potential with finite support and local external force (stationary stochastic proce…
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…
Convergence to equilibrium due to collisions with external particles
Alexandr Lykov, Vadim Malyshev
We consider a class of "most non ergodic" particle systems and prove that for most of them ergodicity appears if only one particle of N has contact with external world, that is thi…