2 citations · 3 across the 5 of their papers we have counts for
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Energy Escape to Infinity for Systems with Infinite Number of Particles
V. A. Malyshev, A. A. Zamyatin
Here we consider system of infinite number of particles where any particle cannot escape to infinity. We define what means escape of energy to infinity and apply this notion to the…
Regular Dynamics and Collisions Inside Classical Closed String
V. A. Malyshev, A. A. Zamyatin
We consider classical closed string with particles inside. Taking collisions into account, we consider dynamics of this -particle system under the influence of constant exte…
Analytic dynamics of one-dimensional particle system with strong interaction
V. A. Malyshev
We study here the small time dynamics of electrons on the circle with Coul;omb repulsive interaction and study the series for the velocities (initially zero). The main result i…
Fixed points for one-dimensional particle system with strong interaction
V. A. Malyshev
We consider hamiltonian particle system on the finite segment with nearest-neighbor Coulomb interaction and external force . We study the fixed points of such system and sho…
Macrodimension - an invariant of local dynamics
V. A. Malyshev
We define a Markov process on the set of countable graphs with spins. Transitions are local substitutions in the graph. It is proved that the scaling macrodimension is an invariant…