3 papers
math-ph2022
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…
math-ph2020
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…
math-ph2015
Phase diagram for one-way traffic flow with local control
A. A. Lykov, V. A. Malyshev, M. V. Melikian
We consider one-way road deterministic traffic model with particles. The simplest local control protocol, which reminds physical interaction)\d{ }with three parameters is consi…